TSTP Solution File: MSC026-1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : MSC026-1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n004.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 22:48:45 EDT 2022

% Result   : Unknown 39.48s 40.25s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : MSC026-1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n004.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 : Fri Jul  1 15:20:53 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Running in mono-core mode
% 0.61/0.78  % Orienting using strategy Equiv(ClausalAll)
% 0.61/0.78  % Orientation found
% 0.61/0.78  % 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_014e14.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_95832a.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_0261de | grep -v "SZS"
% 0.61/0.80  
% 0.61/0.80  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.61/0.80  
% 0.61/0.80  % 
% 0.61/0.80  % ------  iProver source info 
% 0.61/0.80  
% 0.61/0.80  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.61/0.80  % git: non_committed_changes: true
% 0.61/0.80  % git: last_make_outside_of_git: true
% 0.61/0.80  
% 0.61/0.80  % 
% 0.61/0.80  % ------ Input Options
% 0.61/0.80  
% 0.61/0.80  % --out_options                         all
% 0.61/0.80  % --tptp_safe_out                       true
% 0.61/0.80  % --problem_path                        ""
% 0.61/0.80  % --include_path                        ""
% 0.61/0.80  % --clausifier                          .//eprover
% 0.61/0.80  % --clausifier_options                  --tstp-format  
% 0.61/0.80  % --stdin                               false
% 0.61/0.80  % --dbg_backtrace                       false
% 0.61/0.80  % --dbg_dump_prop_clauses               false
% 0.61/0.80  % --dbg_dump_prop_clauses_file          -
% 0.61/0.80  % --dbg_out_stat                        false
% 0.61/0.80  
% 0.61/0.80  % ------ General Options
% 0.61/0.80  
% 0.61/0.80  % --fof                                 false
% 0.61/0.80  % --time_out_real                       150.
% 0.61/0.80  % --time_out_prep_mult                  0.2
% 0.61/0.80  % --time_out_virtual                    -1.
% 0.61/0.80  % --schedule                            none
% 0.61/0.80  % --ground_splitting                    input
% 0.61/0.80  % --splitting_nvd                       16
% 0.61/0.80  % --non_eq_to_eq                        false
% 0.61/0.80  % --prep_gs_sim                         true
% 0.61/0.80  % --prep_unflatten                      false
% 0.61/0.80  % --prep_res_sim                        true
% 0.61/0.80  % --prep_upred                          true
% 0.61/0.80  % --res_sim_input                       true
% 0.61/0.80  % --clause_weak_htbl                    true
% 0.61/0.80  % --gc_record_bc_elim                   false
% 0.61/0.80  % --symbol_type_check                   false
% 0.61/0.80  % --clausify_out                        false
% 0.61/0.80  % --large_theory_mode                   false
% 0.61/0.80  % --prep_sem_filter                     none
% 0.61/0.80  % --prep_sem_filter_out                 false
% 0.61/0.80  % --preprocessed_out                    false
% 0.61/0.80  % --sub_typing                          false
% 0.61/0.80  % --brand_transform                     false
% 0.61/0.80  % --pure_diseq_elim                     true
% 0.61/0.80  % --min_unsat_core                      false
% 0.61/0.80  % --pred_elim                           true
% 0.61/0.80  % --add_important_lit                   false
% 0.61/0.80  % --soft_assumptions                    false
% 0.61/0.80  % --reset_solvers                       false
% 0.61/0.80  % --bc_imp_inh                          []
% 0.61/0.80  % --conj_cone_tolerance                 1.5
% 0.61/0.80  % --prolific_symb_bound                 500
% 0.61/0.80  % --lt_threshold                        2000
% 0.61/0.80  
% 0.61/0.80  % ------ SAT Options
% 0.61/0.80  
% 0.61/0.80  % --sat_mode                            false
% 0.61/0.80  % --sat_fm_restart_options              ""
% 0.61/0.80  % --sat_gr_def                          false
% 0.61/0.80  % --sat_epr_types                       true
% 0.61/0.80  % --sat_non_cyclic_types                false
% 0.61/0.80  % --sat_finite_models                   false
% 0.61/0.80  % --sat_fm_lemmas                       false
% 0.61/0.80  % --sat_fm_prep                         false
% 0.61/0.80  % --sat_fm_uc_incr                      true
% 0.61/0.80  % --sat_out_model                       small
% 0.61/0.80  % --sat_out_clauses                     false
% 0.61/0.80  
% 0.61/0.80  % ------ QBF Options
% 0.61/0.80  
% 0.61/0.80  % --qbf_mode                            false
% 0.61/0.80  % --qbf_elim_univ                       true
% 0.61/0.80  % --qbf_sk_in                           true
% 0.61/0.80  % --qbf_pred_elim                       true
% 0.61/0.80  % --qbf_split                           32
% 0.61/0.80  
% 0.61/0.80  % ------ BMC1 Options
% 0.61/0.80  
% 0.61/0.80  % --bmc1_incremental                    false
% 0.61/0.80  % --bmc1_axioms                         reachable_all
% 0.61/0.80  % --bmc1_min_bound                      0
% 0.61/0.80  % --bmc1_max_bound                      -1
% 0.61/0.80  % --bmc1_max_bound_default              -1
% 0.61/0.80  % --bmc1_symbol_reachability            true
% 0.61/0.80  % --bmc1_property_lemmas                false
% 0.61/0.80  % --bmc1_k_induction                    false
% 0.61/0.80  % --bmc1_non_equiv_states               false
% 0.61/0.80  % --bmc1_deadlock                       false
% 0.61/0.80  % --bmc1_ucm                            false
% 0.61/0.80  % --bmc1_add_unsat_core                 none
% 0.61/0.80  % --bmc1_unsat_core_children            false
% 0.61/0.80  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.61/0.80  % --bmc1_out_stat                       full
% 0.61/0.80  % --bmc1_ground_init                    false
% 0.61/0.80  % --bmc1_pre_inst_next_state            false
% 0.61/0.80  % --bmc1_pre_inst_state                 false
% 0.61/0.80  % --bmc1_pre_inst_reach_state           false
% 0.61/0.80  % --bmc1_out_unsat_core                 false
% 0.61/0.80  % --bmc1_aig_witness_out                false
% 0.61/0.80  % --bmc1_verbose                        false
% 0.61/0.80  % --bmc1_dump_clauses_tptp              false
% 8.02/8.93  % --bmc1_dump_unsat_core_tptp           false
% 8.02/8.93  % --bmc1_dump_file                      -
% 8.02/8.93  % --bmc1_ucm_expand_uc_limit            128
% 8.02/8.93  % --bmc1_ucm_n_expand_iterations        6
% 8.02/8.93  % --bmc1_ucm_extend_mode                1
% 8.02/8.93  % --bmc1_ucm_init_mode                  2
% 8.02/8.93  % --bmc1_ucm_cone_mode                  none
% 8.02/8.93  % --bmc1_ucm_reduced_relation_type      0
% 8.02/8.93  % --bmc1_ucm_relax_model                4
% 8.02/8.93  % --bmc1_ucm_full_tr_after_sat          true
% 8.02/8.93  % --bmc1_ucm_expand_neg_assumptions     false
% 8.02/8.93  % --bmc1_ucm_layered_model              none
% 8.02/8.93  % --bmc1_ucm_max_lemma_size             10
% 8.02/8.93  
% 8.02/8.93  % ------ AIG Options
% 8.02/8.93  
% 8.02/8.93  % --aig_mode                            false
% 8.02/8.93  
% 8.02/8.93  % ------ Instantiation Options
% 8.02/8.93  
% 8.02/8.93  % --instantiation_flag                  true
% 8.02/8.93  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 8.02/8.93  % --inst_solver_per_active              750
% 8.02/8.93  % --inst_solver_calls_frac              0.5
% 8.02/8.93  % --inst_passive_queue_type             priority_queues
% 8.02/8.93  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 8.02/8.93  % --inst_passive_queues_freq            [25;2]
% 8.02/8.93  % --inst_dismatching                    true
% 8.02/8.93  % --inst_eager_unprocessed_to_passive   true
% 8.02/8.93  % --inst_prop_sim_given                 true
% 8.02/8.93  % --inst_prop_sim_new                   false
% 8.02/8.93  % --inst_orphan_elimination             true
% 8.02/8.93  % --inst_learning_loop_flag             true
% 8.02/8.93  % --inst_learning_start                 3000
% 8.02/8.93  % --inst_learning_factor                2
% 8.02/8.93  % --inst_start_prop_sim_after_learn     3
% 8.02/8.93  % --inst_sel_renew                      solver
% 8.02/8.93  % --inst_lit_activity_flag              true
% 8.02/8.93  % --inst_out_proof                      true
% 8.02/8.93  
% 8.02/8.93  % ------ Resolution Options
% 8.02/8.93  
% 8.02/8.93  % --resolution_flag                     true
% 8.02/8.93  % --res_lit_sel                         kbo_max
% 8.02/8.93  % --res_to_prop_solver                  none
% 8.02/8.93  % --res_prop_simpl_new                  false
% 8.02/8.93  % --res_prop_simpl_given                false
% 8.02/8.93  % --res_passive_queue_type              priority_queues
% 8.02/8.93  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 8.02/8.93  % --res_passive_queues_freq             [15;5]
% 8.02/8.93  % --res_forward_subs                    full
% 8.02/8.93  % --res_backward_subs                   full
% 8.02/8.93  % --res_forward_subs_resolution         true
% 8.02/8.93  % --res_backward_subs_resolution        true
% 8.02/8.93  % --res_orphan_elimination              false
% 8.02/8.93  % --res_time_limit                      1000.
% 8.02/8.93  % --res_out_proof                       true
% 8.02/8.93  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_014e14.s
% 8.02/8.93  % --modulo                              true
% 8.02/8.93  
% 8.02/8.93  % ------ Combination Options
% 8.02/8.93  
% 8.02/8.93  % --comb_res_mult                       1000
% 8.02/8.93  % --comb_inst_mult                      300
% 8.02/8.93  % ------ 
% 8.02/8.93  
% 8.02/8.93  % ------ Parsing...% successful
% 8.02/8.93  
% 8.02/8.93  % ------ 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 % 
% 8.02/8.93  
% 8.02/8.93  % ------ Proving...
% 8.02/8.93  % ------ Problem Properties 
% 8.02/8.93  
% 8.02/8.93  % 
% 8.02/8.93  % EPR                                   false
% 8.02/8.93  % Horn                                  false
% 8.02/8.93  % Has equality                          true
% 8.02/8.93  
% 8.02/8.93  % % ------ Input Options Time Limit: Unbounded
% 8.02/8.93  
% 8.02/8.93  
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% 21.66/22.67  % % ------ Current options:
% 21.66/22.67  
% 21.66/22.67  % ------ Input Options
% 21.66/22.67  
% 21.66/22.67  % --out_options                         all
% 21.66/22.67  % --tptp_safe_out                       true
% 21.66/22.67  % --problem_path                        ""
% 21.66/22.67  % --include_path                        ""
% 21.66/22.67  % --clausifier                          .//eprover
% 21.66/22.67  % --clausifier_options                  --tstp-format  
% 21.66/22.67  % --stdin                               false
% 21.66/22.67  % --dbg_backtrace                       false
% 21.66/22.67  % --dbg_dump_prop_clauses               false
% 21.66/22.67  % --dbg_dump_prop_clauses_file          -
% 21.66/22.67  % --dbg_out_stat                        false
% 21.66/22.67  
% 21.66/22.67  % ------ General Options
% 21.66/22.67  
% 21.66/22.67  % --fof                                 false
% 21.66/22.67  % --time_out_real                       150.
% 21.66/22.67  % --time_out_prep_mult                  0.2
% 21.66/22.67  % --time_out_virtual                    -1.
% 21.66/22.67  % --schedule                            none
% 21.66/22.67  % --ground_splitting                    input
% 21.66/22.67  % --splitting_nvd                       16
% 21.66/22.67  % --non_eq_to_eq                        false
% 21.66/22.67  % --prep_gs_sim                         true
% 21.66/22.67  % --prep_unflatten                      false
% 21.66/22.67  % --prep_res_sim                        true
% 21.66/22.67  % --prep_upred                          true
% 21.66/22.67  % --res_sim_input                       true
% 21.66/22.67  % --clause_weak_htbl                    true
% 21.66/22.67  % --gc_record_bc_elim                   false
% 21.66/22.67  % --symbol_type_check                   false
% 21.66/22.67  % --clausify_out                        false
% 21.66/22.67  % --large_theory_mode                   false
% 21.66/22.67  % --prep_sem_filter                     none
% 21.66/22.67  % --prep_sem_filter_out                 false
% 21.66/22.67  % --preprocessed_out                    false
% 21.66/22.67  % --sub_typing                          false
% 21.66/22.67  % --brand_transform                     false
% 21.66/22.67  % --pure_diseq_elim                     true
% 21.66/22.67  % --min_unsat_core                      false
% 21.66/22.67  % --pred_elim                           true
% 21.66/22.67  % --add_important_lit                   false
% 21.66/22.67  % --soft_assumptions                    false
% 21.66/22.67  % --reset_solvers                       false
% 21.66/22.67  % --bc_imp_inh                          []
% 21.66/22.67  % --conj_cone_tolerance                 1.5
% 21.66/22.67  % --prolific_symb_bound                 500
% 21.66/22.67  % --lt_threshold                        2000
% 21.66/22.67  
% 21.66/22.67  % ------ SAT Options
% 21.66/22.67  
% 21.66/22.67  % --sat_mode                            false
% 21.66/22.67  % --sat_fm_restart_options              ""
% 21.66/22.67  % --sat_gr_def                          false
% 21.66/22.67  % --sat_epr_types                       true
% 21.66/22.67  % --sat_non_cyclic_types                false
% 21.66/22.67  % --sat_finite_models                   false
% 21.66/22.67  % --sat_fm_lemmas                       false
% 21.66/22.67  % --sat_fm_prep                         false
% 21.66/22.67  % --sat_fm_uc_incr                      true
% 21.66/22.67  % --sat_out_model                       small
% 21.66/22.67  % --sat_out_clauses                     false
% 21.66/22.67  
% 21.66/22.67  % ------ QBF Options
% 21.66/22.67  
% 21.66/22.67  % --qbf_mode                            false
% 21.66/22.67  % --qbf_elim_univ                       true
% 21.66/22.67  % --qbf_sk_in                           true
% 21.66/22.67  % --qbf_pred_elim                       true
% 21.66/22.67  % --qbf_split                           32
% 21.66/22.67  
% 21.66/22.67  % ------ BMC1 Options
% 21.66/22.67  
% 21.66/22.67  % --bmc1_incremental                    false
% 21.66/22.67  % --bmc1_axioms                         reachable_all
% 21.66/22.67  % --bmc1_min_bound                      0
% 21.66/22.67  % --bmc1_max_bound                      -1
% 21.66/22.67  % --bmc1_max_bound_default              -1
% 21.66/22.67  % --bmc1_symbol_reachability            true
% 21.66/22.67  % --bmc1_property_lemmas                false
% 21.66/22.67  % --bmc1_k_induction                    false
% 21.66/22.67  % --bmc1_non_equiv_states               false
% 21.66/22.67  % --bmc1_deadlock                       false
% 21.66/22.67  % --bmc1_ucm                            false
% 21.66/22.67  % --bmc1_add_unsat_core                 none
% 21.66/22.67  % --bmc1_unsat_core_children            false
% 21.66/22.67  % --bmc1_unsat_core_extrapolate_axioms  false
% 21.66/22.67  % --bmc1_out_stat                       full
% 21.66/22.69  % --bmc1_ground_init                    false
% 21.66/22.69  % --bmc1_pre_inst_next_state            false
% 21.66/22.69  % --bmc1_pre_inst_state                 false
% 21.66/22.69  % --bmc1_pre_inst_reach_state           false
% 21.66/22.69  % --bmc1_out_unsat_core                 false
% 21.66/22.69  % --bmc1_aig_witness_out                false
% 21.66/22.69  % --bmc1_verbose                        false
% 21.66/22.69  % --bmc1_dump_clauses_tptp              false
% 21.66/22.69  % --bmc1_dump_unsat_core_tptp           false
% 21.66/22.69  % --bmc1_dump_file                      -
% 21.66/22.69  % --bmc1_ucm_expand_uc_limit            128
% 21.66/22.69  % --bmc1_ucm_n_expand_iterations        6
% 21.66/22.69  % --bmc1_ucm_extend_mode                1
% 21.66/22.69  % --bmc1_ucm_init_mode                  2
% 21.66/22.69  % --bmc1_ucm_cone_mode                  none
% 21.66/22.69  % --bmc1_ucm_reduced_relation_type      0
% 21.66/22.69  % --bmc1_ucm_relax_model                4
% 21.66/22.69  % --bmc1_ucm_full_tr_after_sat          true
% 21.66/22.69  % --bmc1_ucm_expand_neg_assumptions     false
% 21.66/22.69  % --bmc1_ucm_layered_model              none
% 21.66/22.69  % --bmc1_ucm_max_lemma_size             10
% 21.66/22.69  
% 21.66/22.69  % ------ AIG Options
% 21.66/22.69  
% 21.66/22.69  % --aig_mode                            false
% 21.66/22.69  
% 21.66/22.69  % ------ Instantiation Options
% 21.66/22.69  
% 21.66/22.69  % --instantiation_flag                  true
% 21.66/22.69  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 21.66/22.69  % --inst_solver_per_active              750
% 21.66/22.69  % --inst_solver_calls_frac              0.5
% 21.66/22.69  % --inst_passive_queue_type             priority_queues
% 21.66/22.69  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 21.66/22.69  % --inst_passive_queues_freq            [25;2]
% 21.66/22.69  % --inst_dismatching                    true
% 21.66/22.69  % --inst_eager_unprocessed_to_passive   true
% 21.66/22.69  % --inst_prop_sim_given                 true
% 21.66/22.69  % --inst_prop_sim_new                   false
% 21.66/22.69  % --inst_orphan_elimination             true
% 21.66/22.69  % --inst_learning_loop_flag             true
% 21.66/22.69  % --inst_learning_start                 3000
% 21.66/22.69  % --inst_learning_factor                2
% 21.66/22.69  % --inst_start_prop_sim_after_learn     3
% 21.66/22.69  % --inst_sel_renew                      solver
% 21.66/22.69  % --inst_lit_activity_flag              true
% 21.66/22.69  % --inst_out_proof                      true
% 21.66/22.69  
% 21.66/22.69  % ------ Resolution Options
% 21.66/22.69  
% 21.66/22.69  % --resolution_flag                     true
% 21.66/22.69  % --res_lit_sel                         kbo_max
% 21.66/22.69  % --res_to_prop_solver                  none
% 21.66/22.69  % --res_prop_simpl_new                  false
% 21.66/22.69  % --res_prop_simpl_given                false
% 21.66/22.69  % --res_passive_queue_type              priority_queues
% 21.66/22.69  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 21.66/22.69  % --res_passive_queues_freq             [15;5]
% 21.66/22.69  % --res_forward_subs                    full
% 21.66/22.69  % --res_backward_subs                   full
% 21.66/22.69  % --res_forward_subs_resolution         true
% 21.66/22.69  % --res_backward_subs_resolution        true
% 21.66/22.69  % --res_orphan_elimination              false
% 21.66/22.69  % --res_time_limit                      1000.
% 21.66/22.69  % --res_out_proof                       true
% 21.66/22.69  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_014e14.s
% 21.66/22.69  % --modulo                              true
% 21.66/22.69  
% 21.66/22.69  % ------ Combination Options
% 21.66/22.69  
% 21.66/22.69  % --comb_res_mult                       1000
% 21.66/22.69  % --comb_inst_mult                      300
% 21.66/22.69  % ------ 
% 21.66/22.69  
% 21.66/22.69  
% 21.66/22.69  
% 21.66/22.69  % ------ Proving...
% 21.66/22.69  % warning:  shown sat in sat incomplete mode 
% 21.66/22.69  % 
% 21.66/22.69  
% 21.66/22.69  
% 21.66/22.69  
% 21.66/22.69  
% 21.66/22.69  cnf(c_3393,plain,
% 21.66/22.69      ( ~ class_Finite__Set_Ofinite(X0)
% 21.66/22.69      | ~ class_Finite__Set_Ofinite(X1)
% 21.66/22.69      | class_Finite__Set_Ofinite(tc_sum(X1,X0)) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9447_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_21029,plain,
% 21.66/22.69      ( ~ class_Finite__Set_Ofinite(X0)
% 21.66/22.69      | ~ class_Finite__Set_Ofinite(X1)
% 21.66/22.69      | class_Finite__Set_Ofinite(tc_sum(X1,X0)) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_3393]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_21030,plain,
% 21.66/22.69      ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 21.66/22.69      | ~ class_Finite__Set_Ofinite(X1)
% 21.66/22.69      | ~ class_Finite__Set_Ofinite(X0) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_21029]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_3390,plain,
% 21.66/22.69      ( ~ class_Finite__Set_Ofinite(X0)
% 21.66/22.69      | ~ class_Finite__Set_Ofinite(X1)
% 21.66/22.69      | class_Finite__Set_Ofinite(tc_prod(X1,X0)) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9446_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_21023,plain,
% 21.66/22.69      ( ~ class_Finite__Set_Ofinite(X0)
% 21.66/22.69      | ~ class_Finite__Set_Ofinite(X1)
% 21.66/22.69      | class_Finite__Set_Ofinite(tc_prod(X1,X0)) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_3390]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_21024,plain,
% 21.66/22.69      ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 21.66/22.69      | ~ class_Finite__Set_Ofinite(X1)
% 21.66/22.69      | ~ class_Finite__Set_Ofinite(X0) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_21023]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_3387,plain,
% 21.66/22.69      ( ~ class_Finite__Set_Ofinite(X0)
% 21.66/22.69      | ~ class_Finite__Set_Ofinite(X1)
% 21.66/22.69      | class_Finite__Set_Ofinite(tc_fun(X1,X0)) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9445_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_21017,plain,
% 21.66/22.69      ( ~ class_Finite__Set_Ofinite(X0)
% 21.66/22.69      | ~ class_Finite__Set_Ofinite(X1)
% 21.66/22.69      | class_Finite__Set_Ofinite(tc_fun(X1,X0)) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_3387]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_21018,plain,
% 21.66/22.69      ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 21.66/22.69      | ~ class_Finite__Set_Ofinite(X1)
% 21.66/22.69      | ~ class_Finite__Set_Ofinite(X0) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_21017]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_3371,plain,
% 21.66/22.69      ( ~ class_HOL_Oone(X0)
% 21.66/22.69      | ~ class_OrderedGroup_Oab__group__add(X0)
% 21.66/22.69      | c_uminus(X1,X0) != c_1
% 21.66/22.69      | X1 = c_uminus(c_1,X0) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9438_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20985,plain,
% 21.66/22.69      ( ~ class_HOL_Oone(X0)
% 21.66/22.69      | ~ class_OrderedGroup_Oab__group__add(X0)
% 21.66/22.69      | c_uminus(X1,X0) != c_1
% 21.66/22.69      | X1 = c_uminus(c_1,X0) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_3371]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20986,plain,
% 21.66/22.69      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.66/22.69      | ~ class_HOL_Oone(X0)
% 21.66/22.69      | c_uminus(X1,X0) != c_1
% 21.66/22.69      | X1 = c_uminus(c_1,X0) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20985]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_3365,plain,
% 21.66/22.69      ( ~ class_HOL_Oone(X0)
% 21.66/22.69      | ~ class_OrderedGroup_Oab__group__add(X0)
% 21.66/22.69      | c_uminus(c_uminus(c_1,X0),X0) = c_1 ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9436_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20973,plain,
% 21.66/22.69      ( ~ class_HOL_Oone(X0)
% 21.66/22.69      | ~ class_OrderedGroup_Oab__group__add(X0)
% 21.66/22.69      | c_uminus(c_uminus(c_1,X0),X0) = c_1 ),
% 21.66/22.69      inference(copy,[status(esa)],[c_3365]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20974,plain,
% 21.66/22.69      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.66/22.69      | ~ class_HOL_Oone(X0)
% 21.66/22.69      | c_uminus(c_uminus(c_1,X0),X0) = c_1 ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20973]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_3362,plain,
% 21.66/22.69      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.69      | c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1 ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9435_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20967,plain,
% 21.66/22.69      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.69      | c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1 ),
% 21.66/22.69      inference(copy,[status(esa)],[c_3362]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20968,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.69      | ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1 ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20967]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_3248,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.69      | c_divide(c_1,c_0,X0) = c_0 ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9384_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20739,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.69      | c_divide(c_1,c_0,X0) = c_0 ),
% 21.66/22.69      inference(copy,[status(esa)],[c_3248]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20740,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | c_divide(c_1,c_0,X0) = c_0 ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20739]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_3205,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.69      | X1 = c_0
% 21.66/22.69      | c_divide(X1,X1,X0) = c_1 ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9366_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20653,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.69      | X1 = c_0
% 21.66/22.69      | c_divide(X1,X1,X0) = c_1 ),
% 21.66/22.69      inference(copy,[status(esa)],[c_3205]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20654,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | c_divide(X1,X1,X0) = c_1
% 21.66/22.69      | X1 = c_0 ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20653]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_3191,plain,
% 21.66/22.69      ( c_List_Oupt(X0,X1) != c_List_Olist_ONil
% 21.66/22.69      | c_lessequals(X1,X0,tc_nat)
% 21.66/22.69      | X1 = c_0 ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9360_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20625,plain,
% 21.66/22.69      ( c_List_Oupt(X0,X1) != c_List_Olist_ONil
% 21.66/22.69      | c_lessequals(X1,X0,tc_nat)
% 21.66/22.69      | X1 = c_0 ),
% 21.66/22.69      inference(copy,[status(esa)],[c_3191]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20626,plain,
% 21.66/22.69      ( c_lessequals(X0,X1,tc_nat)
% 21.66/22.69      | c_List_Oupt(X1,X0) != c_List_Olist_ONil
% 21.66/22.69      | X0 = c_0 ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20625]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_3117,plain,
% 21.66/22.69      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.66/22.69      | c_less(c_0,c_HOL_Oabs(X1,X0),X0)
% 21.66/22.69      | X1 = c_0 ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9324_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20477,plain,
% 21.66/22.69      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.66/22.69      | c_less(c_0,c_HOL_Oabs(X1,X0),X0)
% 21.66/22.69      | X1 = c_0 ),
% 21.66/22.69      inference(copy,[status(esa)],[c_3117]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20478,plain,
% 21.66/22.69      ( c_less(c_0,c_HOL_Oabs(X0,X1),X1)
% 21.66/22.69      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
% 21.66/22.69      | X0 = c_0 ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20477]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_3061,plain,
% 21.66/22.69      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9299_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20365,plain,
% 21.66/22.69      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_3061]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20366,plain,
% 21.66/22.69      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | ~ class_Numeral_Onumber__ring(X1)
% 21.66/22.69      | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_Numeral_Onumber__of(X0,X1) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20365]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_3055,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.69      | c_HOL_Oabs(c_HOL_Oinverse(X1,X0),X0) = c_HOL_Oinverse(c_HOL_Oabs(X1,X0),X0) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9297_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20353,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.69      | c_HOL_Oabs(c_HOL_Oinverse(X1,X0),X0) = c_HOL_Oinverse(c_HOL_Oabs(X1,X0),X0) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_3055]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20354,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | c_HOL_Oabs(c_HOL_Oinverse(X1,X0),X0) = c_HOL_Oinverse(c_HOL_Oabs(X1,X0),X0) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20353]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_3021,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.69      | c_divide(X1,c_0,X0) != c_1 ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9287_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20285,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.69      | c_divide(X1,c_0,X0) != c_1 ),
% 21.66/22.69      inference(copy,[status(esa)],[c_3021]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20286,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | c_divide(X1,c_0,X0) != c_1 ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20285]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_3007,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.69      | c_divide(c_1,X1,X0) != c_0
% 21.66/22.69      | X1 = c_0 ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9282_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20257,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.69      | c_divide(c_1,X1,X0) != c_0
% 21.66/22.69      | X1 = c_0 ),
% 21.66/22.69      inference(copy,[status(esa)],[c_3007]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20258,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | c_divide(c_1,X1,X0) != c_0
% 21.66/22.69      | X1 = c_0 ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20257]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2996,plain,
% 21.66/22.69      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9279_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20235,plain,
% 21.66/22.69      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2996]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20236,plain,
% 21.66/22.69      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | ~ class_Numeral_Onumber__ring(X1)
% 21.66/22.69      | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0 ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20235]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2970,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.69      | c_divide(X1,X2,X0) != c_1
% 21.66/22.69      | X2 = X1 ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9270_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20183,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.69      | c_divide(X1,X2,X0) != c_1
% 21.66/22.69      | X2 = X1 ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2970]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20184,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | c_divide(X1,X2,X0) != c_1
% 21.66/22.69      | X2 = X1 ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20183]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2953,plain,
% 21.66/22.69      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.66/22.69      | ~ c_lessequals(X1,c_0,X0)
% 21.66/22.69      | c_OrderedGroup_Opprt(X1,X0) = c_0 ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9265_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20149,plain,
% 21.66/22.69      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.66/22.69      | ~ c_lessequals(X1,c_0,X0)
% 21.66/22.69      | c_OrderedGroup_Opprt(X1,X0) = c_0 ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2953]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20150,plain,
% 21.66/22.69      ( ~ c_lessequals(X0,c_0,X1)
% 21.66/22.69      | ~ class_OrderedGroup_Olordered__ab__group(X1)
% 21.66/22.69      | c_OrderedGroup_Opprt(X0,X1) = c_0 ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20149]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2950,plain,
% 21.66/22.69      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.66/22.69      | ~ c_lessequals(c_0,X1,X0)
% 21.66/22.69      | c_OrderedGroup_Onprt(X1,X0) = c_0 ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9264_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20143,plain,
% 21.66/22.69      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.66/22.69      | ~ c_lessequals(c_0,X1,X0)
% 21.66/22.69      | c_OrderedGroup_Onprt(X1,X0) = c_0 ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2950]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20144,plain,
% 21.66/22.69      ( ~ c_lessequals(c_0,X0,X1)
% 21.66/22.69      | ~ class_OrderedGroup_Olordered__ab__group(X1)
% 21.66/22.69      | c_OrderedGroup_Onprt(X0,X1) = c_0 ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20143]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2947,plain,
% 21.66/22.69      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.66/22.69      | ~ c_lessequals(c_0,X1,X0)
% 21.66/22.69      | c_OrderedGroup_Opprt(X1,X0) = X1 ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9263_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20137,plain,
% 21.66/22.69      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.66/22.69      | ~ c_lessequals(c_0,X1,X0)
% 21.66/22.69      | c_OrderedGroup_Opprt(X1,X0) = X1 ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2947]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20138,plain,
% 21.66/22.69      ( ~ c_lessequals(c_0,X0,X1)
% 21.66/22.69      | ~ class_OrderedGroup_Olordered__ab__group(X1)
% 21.66/22.69      | c_OrderedGroup_Opprt(X0,X1) = X0 ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20137]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2944,plain,
% 21.66/22.69      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.66/22.69      | ~ c_lessequals(X1,c_0,X0)
% 21.66/22.69      | c_OrderedGroup_Onprt(X1,X0) = X1 ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9262_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20131,plain,
% 21.66/22.69      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.66/22.69      | ~ c_lessequals(X1,c_0,X0)
% 21.66/22.69      | c_OrderedGroup_Onprt(X1,X0) = X1 ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2944]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20132,plain,
% 21.66/22.69      ( ~ c_lessequals(X0,c_0,X1)
% 21.66/22.69      | ~ class_OrderedGroup_Olordered__ab__group(X1)
% 21.66/22.69      | c_OrderedGroup_Onprt(X0,X1) = X0 ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20131]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2941,plain,
% 21.66/22.69      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.66/22.69      | ~ c_lessequals(c_0,X1,X0)
% 21.66/22.69      | c_HOL_Oabs(X1,X0) = X1 ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9261_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20125,plain,
% 21.66/22.69      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.66/22.69      | ~ c_lessequals(c_0,X1,X0)
% 21.66/22.69      | c_HOL_Oabs(X1,X0) = X1 ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2941]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20126,plain,
% 21.66/22.69      ( ~ c_lessequals(c_0,X0,X1)
% 21.66/22.69      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
% 21.66/22.69      | c_HOL_Oabs(X0,X1) = X0 ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20125]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2929,plain,
% 21.66/22.69      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | ~ class_Power_Orecpower(X0)
% 21.66/22.69      | ~ c_Parity_Oeven(X1,tc_nat)
% 21.66/22.69      | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1 ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9256_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20101,plain,
% 21.66/22.69      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | ~ class_Power_Orecpower(X0)
% 21.66/22.69      | ~ c_Parity_Oeven(X1,tc_nat)
% 21.66/22.69      | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1 ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2929]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20102,plain,
% 21.66/22.69      ( ~ class_Power_Orecpower(X0)
% 21.66/22.69      | ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | ~ c_Parity_Oeven(X1,tc_nat)
% 21.66/22.69      | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1 ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20101]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2925,plain,
% 21.66/22.69      ( ~ class_Power_Orecpower(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.66/22.69      | ~ c_Parity_Oeven(X1,tc_nat)
% 21.66/22.69      | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1 ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9255_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20093,plain,
% 21.66/22.69      ( ~ class_Power_Orecpower(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.66/22.69      | ~ c_Parity_Oeven(X1,tc_nat)
% 21.66/22.69      | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1 ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2925]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20094,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.66/22.69      | ~ class_Power_Orecpower(X0)
% 21.66/22.69      | ~ c_Parity_Oeven(X1,tc_nat)
% 21.66/22.69      | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1 ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20093]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2921,plain,
% 21.66/22.69      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Ofield(X0)
% 21.66/22.69      | c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_uminus(X1,X0) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9254_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20085,plain,
% 21.66/22.69      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Ofield(X0)
% 21.66/22.69      | c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_uminus(X1,X0) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2921]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20086,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Ofield(X0)
% 21.66/22.69      | c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_uminus(X1,X0) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20085]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2911,plain,
% 21.66/22.69      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | ~ class_Power_Orecpower(X0)
% 21.66/22.69      | c_Parity_Oeven(X1,tc_nat)
% 21.66/22.69      | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9250_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20065,plain,
% 21.66/22.69      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | ~ class_Power_Orecpower(X0)
% 21.66/22.69      | c_Parity_Oeven(X1,tc_nat)
% 21.66/22.69      | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2911]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20066,plain,
% 21.66/22.69      ( ~ class_Power_Orecpower(X0)
% 21.66/22.69      | ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | c_Parity_Oeven(X1,tc_nat)
% 21.66/22.69      | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20065]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2907,plain,
% 21.66/22.69      ( ~ class_Power_Orecpower(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.66/22.69      | c_Parity_Oeven(X1,tc_nat)
% 21.66/22.69      | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9249_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20057,plain,
% 21.66/22.69      ( ~ class_Power_Orecpower(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.66/22.69      | c_Parity_Oeven(X1,tc_nat)
% 21.66/22.69      | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2907]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20058,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.66/22.69      | ~ class_Power_Orecpower(X0)
% 21.66/22.69      | c_Parity_Oeven(X1,tc_nat)
% 21.66/22.69      | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20057]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2899,plain,
% 21.66/22.69      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.66/22.69      | ~ c_lessequals(X1,c_0,X0)
% 21.66/22.69      | c_HOL_Oabs(X1,X0) = c_uminus(X1,X0) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9246_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20041,plain,
% 21.66/22.69      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.66/22.69      | ~ c_lessequals(X1,c_0,X0)
% 21.66/22.69      | c_HOL_Oabs(X1,X0) = c_uminus(X1,X0) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2899]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_20042,plain,
% 21.66/22.69      ( ~ c_lessequals(X0,c_0,X1)
% 21.66/22.69      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
% 21.66/22.69      | c_HOL_Oabs(X0,X1) = c_uminus(X0,X1) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_20041]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2855,plain,
% 21.66/22.69      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Ofield(X0)
% 21.66/22.69      | c_Numeral_Onumber__of(X1,X0) != c_0
% 21.66/22.69      | c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9231_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19953,plain,
% 21.66/22.69      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Ofield(X0)
% 21.66/22.69      | c_Numeral_Onumber__of(X1,X0) != c_0
% 21.66/22.69      | c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2855]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19954,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.69      | ~ class_Numeral_Onumber(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Ofield(X0)
% 21.66/22.69      | c_Numeral_Onumber__of(X1,X0) != c_0
% 21.66/22.69      | c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19953]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2842,plain,
% 21.66/22.69      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.66/22.69      | ~ c_lessequals(c_HOL_Oabs(X1,X0),c_0,X0)
% 21.66/22.69      | X1 = c_0 ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9225_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19927,plain,
% 21.66/22.69      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.66/22.69      | ~ c_lessequals(c_HOL_Oabs(X1,X0),c_0,X0)
% 21.66/22.69      | X1 = c_0 ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2842]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19928,plain,
% 21.66/22.69      ( ~ c_lessequals(c_HOL_Oabs(X0,X1),c_0,X1)
% 21.66/22.69      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
% 21.66/22.69      | X0 = c_0 ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19927]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2836,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.66/22.69      | ~ c_lessequals(c_NatArith_Oof__nat(X1,X0),c_0,X0)
% 21.66/22.69      | X1 = c_0 ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9223_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19915,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.66/22.69      | ~ c_lessequals(c_NatArith_Oof__nat(X1,X0),c_0,X0)
% 21.66/22.69      | X1 = c_0 ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2836]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19916,plain,
% 21.66/22.69      ( ~ c_lessequals(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__semidom(X1)
% 21.66/22.69      | X0 = c_0 ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19915]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2798,plain,
% 21.66/22.69      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9206_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19839,plain,
% 21.66/22.69      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2798]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19840,plain,
% 21.66/22.69      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19839]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2797,plain,
% 21.66/22.69      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 21.66/22.69      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9205_2) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19837,plain,
% 21.66/22.69      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 21.66/22.69      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2797]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19838,plain,
% 21.66/22.69      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19837]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2769,plain,
% 21.66/22.69      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.69      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 21.66/22.69      | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9194_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19781,plain,
% 21.66/22.69      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.69      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 21.66/22.69      | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2769]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19782,plain,
% 21.66/22.69      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 21.66/22.69      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19781]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2766,plain,
% 21.66/22.69      ( c_Parity_Oeven(X0,tc_nat)
% 21.66/22.69      | c_Parity_Oeven(X1,tc_nat)
% 21.66/22.69      | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9193_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19775,plain,
% 21.66/22.69      ( c_Parity_Oeven(X0,tc_nat)
% 21.66/22.69      | c_Parity_Oeven(X1,tc_nat)
% 21.66/22.69      | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2766]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19776,plain,
% 21.66/22.69      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 21.66/22.69      | c_Parity_Oeven(X1,tc_nat)
% 21.66/22.69      | c_Parity_Oeven(X0,tc_nat) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19775]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2763,plain,
% 21.66/22.69      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.69      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 21.66/22.69      | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9192_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19769,plain,
% 21.66/22.69      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.69      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 21.66/22.69      | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2763]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19770,plain,
% 21.66/22.69      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 21.66/22.69      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19769]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2741,plain,
% 21.66/22.69      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.69      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.69      | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9182_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19725,plain,
% 21.66/22.69      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.69      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.69      | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2741]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19726,plain,
% 21.66/22.69      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.66/22.69      | ~ class_Numeral_Onumber__ring(X1)
% 21.66/22.69      | c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(X0,X1) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19725]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2736,plain,
% 21.66/22.69      ( ~ class_Orderings_Oorder(X0)
% 21.66/22.69      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.69      | c_SetInterval_OgreaterThanAtMost(X2,X1,X0) = c_emptyset ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9180_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19715,plain,
% 21.66/22.69      ( ~ class_Orderings_Oorder(X0)
% 21.66/22.69      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.69      | c_SetInterval_OgreaterThanAtMost(X2,X1,X0) = c_emptyset ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2736]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19716,plain,
% 21.66/22.69      ( ~ c_lessequals(X0,X1,X2)
% 21.66/22.69      | ~ class_Orderings_Oorder(X2)
% 21.66/22.69      | c_SetInterval_OgreaterThanAtMost(X1,X0,X2) = c_emptyset ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19715]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2733,plain,
% 21.66/22.69      ( ~ class_Orderings_Oorder(X0)
% 21.66/22.69      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.69      | c_SetInterval_OatLeastLessThan(X2,X1,X0) = c_emptyset ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9179_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19709,plain,
% 21.66/22.69      ( ~ class_Orderings_Oorder(X0)
% 21.66/22.69      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.69      | c_SetInterval_OatLeastLessThan(X2,X1,X0) = c_emptyset ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2733]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19710,plain,
% 21.66/22.69      ( ~ c_lessequals(X0,X1,X2)
% 21.66/22.69      | ~ class_Orderings_Oorder(X2)
% 21.66/22.69      | c_SetInterval_OatLeastLessThan(X1,X0,X2) = c_emptyset ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19709]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2730,plain,
% 21.66/22.69      ( ~ class_Orderings_Oorder(X0)
% 21.66/22.69      | ~ c_less(X1,X2,X0)
% 21.66/22.69      | c_SetInterval_OatLeastAtMost(X2,X1,X0) = c_emptyset ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9178_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19703,plain,
% 21.66/22.69      ( ~ class_Orderings_Oorder(X0)
% 21.66/22.69      | ~ c_less(X1,X2,X0)
% 21.66/22.69      | c_SetInterval_OatLeastAtMost(X2,X1,X0) = c_emptyset ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2730]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19704,plain,
% 21.66/22.69      ( ~ c_less(X0,X1,X2)
% 21.66/22.69      | ~ class_Orderings_Oorder(X2)
% 21.66/22.69      | c_SetInterval_OatLeastAtMost(X1,X0,X2) = c_emptyset ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19703]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2726,plain,
% 21.66/22.69      ( ~ class_Power_Orecpower(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.69      | ~ c_less(c_0,X1,tc_nat)
% 21.66/22.69      | c_Nat_Opower(c_0,X1,X0) = c_0 ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9177_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19695,plain,
% 21.66/22.69      ( ~ class_Power_Orecpower(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.69      | ~ c_less(c_0,X1,tc_nat)
% 21.66/22.69      | c_Nat_Opower(c_0,X1,X0) = c_0 ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2726]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19696,plain,
% 21.66/22.69      ( ~ c_less(c_0,X0,tc_nat)
% 21.66/22.69      | ~ class_Power_Orecpower(X1)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.66/22.69      | c_Nat_Opower(c_0,X0,X1) = c_0 ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19695]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2715,plain,
% 21.66/22.69      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.69      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),X0),X0) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9172_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19673,plain,
% 21.66/22.69      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.69      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),X0),X0) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2715]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19674,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.69      | ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),X0),X0) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19673]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2707,plain,
% 21.66/22.69      ( ~ class_Power_Orecpower(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.69      | c_Nat_Opower(X1,X2,X0) != c_0
% 21.66/22.69      | c_less(c_0,X2,tc_nat) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9169_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19657,plain,
% 21.66/22.69      ( ~ class_Power_Orecpower(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.69      | c_Nat_Opower(X1,X2,X0) != c_0
% 21.66/22.69      | c_less(c_0,X2,tc_nat) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2707]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19658,plain,
% 21.66/22.69      ( c_less(c_0,X0,tc_nat)
% 21.66/22.69      | ~ class_Power_Orecpower(X1)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.66/22.69      | c_Nat_Opower(X2,X0,X1) != c_0 ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19657]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2672,plain,
% 21.66/22.69      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.69      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 21.66/22.69      | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9152_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19587,plain,
% 21.66/22.69      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.69      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 21.66/22.69      | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2672]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19588,plain,
% 21.66/22.69      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 21.66/22.69      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19587]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2669,plain,
% 21.66/22.69      ( ~ c_Parity_Oeven(X0,tc_nat)
% 21.66/22.69      | ~ c_Parity_Oeven(X1,tc_nat)
% 21.66/22.69      | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9151_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19581,plain,
% 21.66/22.69      ( ~ c_Parity_Oeven(X0,tc_nat)
% 21.66/22.69      | ~ c_Parity_Oeven(X1,tc_nat)
% 21.66/22.69      | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2669]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19582,plain,
% 21.66/22.69      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 21.66/22.69      | ~ c_Parity_Oeven(X1,tc_nat)
% 21.66/22.69      | ~ c_Parity_Oeven(X0,tc_nat) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19581]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2666,plain,
% 21.66/22.69      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.69      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 21.66/22.69      | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9150_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19575,plain,
% 21.66/22.69      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.69      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 21.66/22.69      | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2666]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19576,plain,
% 21.66/22.69      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 21.66/22.69      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19575]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2643,plain,
% 21.66/22.69      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.69      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.69      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9140_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19529,plain,
% 21.66/22.69      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.69      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.69      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2643]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19530,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.69      | ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.69      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0)
% 21.66/22.69      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19529]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2632,plain,
% 21.66/22.69      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 21.66/22.69      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9134_3) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19507,plain,
% 21.66/22.69      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 21.66/22.69      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2632]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19508,plain,
% 21.66/22.69      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19507]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2628,plain,
% 21.66/22.69      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat)
% 21.66/22.69      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9133_3) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19499,plain,
% 21.66/22.69      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat)
% 21.66/22.69      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2628]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19500,plain,
% 21.66/22.69      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19499]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2593,plain,
% 21.66/22.69      ( ~ class_Power_Orecpower(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.66/22.69      | ~ c_Parity_Oeven(X1,tc_nat)
% 21.66/22.69      | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_Nat_Opower(X2,X1,X0) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9121_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19429,plain,
% 21.66/22.69      ( ~ class_Power_Orecpower(X0)
% 21.66/22.69      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.66/22.69      | ~ c_Parity_Oeven(X1,tc_nat)
% 21.66/22.69      | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_Nat_Opower(X2,X1,X0) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2593]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19430,plain,
% 21.66/22.69      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.66/22.69      | ~ class_Power_Orecpower(X0)
% 21.66/22.69      | ~ c_Parity_Oeven(X1,tc_nat)
% 21.66/22.69      | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_Nat_Opower(X2,X1,X0) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19429]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2586,plain,
% 21.66/22.69      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.69      | ~ c_less(c_0,X1,X0)
% 21.66/22.69      | c_less(c_uminus(X1,X0),c_0,X0) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9119_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19415,plain,
% 21.66/22.69      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.69      | ~ c_less(c_0,X1,X0)
% 21.66/22.69      | c_less(c_uminus(X1,X0),c_0,X0) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2586]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19416,plain,
% 21.66/22.69      ( ~ c_less(c_0,X0,X1)
% 21.66/22.69      | c_less(c_uminus(X0,X1),c_0,X1)
% 21.66/22.69      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19415]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2583,plain,
% 21.66/22.69      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.69      | ~ c_lessequals(c_0,X1,X0)
% 21.66/22.69      | c_lessequals(c_uminus(X1,X0),c_0,X0) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9118_0) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19409,plain,
% 21.66/22.69      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.69      | ~ c_lessequals(c_0,X1,X0)
% 21.66/22.69      | c_lessequals(c_uminus(X1,X0),c_0,X0) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2583]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19410,plain,
% 21.66/22.69      ( ~ c_lessequals(c_0,X0,X1)
% 21.66/22.69      | c_lessequals(c_uminus(X0,X1),c_0,X1)
% 21.66/22.69      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 21.66/22.69      inference(rewriting,[status(thm)],[c_19409]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_2534,plain,
% 21.66/22.69      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 21.66/22.69      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.69      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9099_2) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19311,plain,
% 21.66/22.69      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 21.66/22.69      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.69      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.69      inference(copy,[status(esa)],[c_2534]) ).
% 21.66/22.69  
% 21.66/22.69  cnf(c_19312,plain,
% 21.66/22.69      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_19311]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2532,plain,
% 21.66/22.70      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9099_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19307,plain,
% 21.66/22.70      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2532]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19308,plain,
% 21.66/22.70      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_19307]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2431,plain,
% 21.66/22.70      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.70      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.70      | c_in(c_Finite__Set_OMin(X1,X0),X1,X0)
% 21.66/22.70      | X1 = c_emptyset ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9064_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19105,plain,
% 21.66/22.70      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.70      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.70      | c_in(c_Finite__Set_OMin(X1,X0),X1,X0)
% 21.66/22.70      | X1 = c_emptyset ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2431]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19106,plain,
% 21.66/22.70      ( c_in(c_Finite__Set_OMin(X0,X1),X0,X1)
% 21.66/22.70      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.66/22.70      | ~ class_Orderings_Olinorder(X1)
% 21.66/22.70      | X0 = c_emptyset ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_19105]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2427,plain,
% 21.66/22.70      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.70      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.70      | c_in(c_Finite__Set_OMax(X1,X0),X1,X0)
% 21.66/22.70      | X1 = c_emptyset ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9063_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19097,plain,
% 21.66/22.70      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.70      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.70      | c_in(c_Finite__Set_OMax(X1,X0),X1,X0)
% 21.66/22.70      | X1 = c_emptyset ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2427]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19098,plain,
% 21.66/22.70      ( c_in(c_Finite__Set_OMax(X0,X1),X0,X1)
% 21.66/22.70      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.66/22.70      | ~ class_Orderings_Olinorder(X1)
% 21.66/22.70      | X0 = c_emptyset ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_19097]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2424,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.66/22.70      | ~ c_less(c_0,c_NatArith_Oof__nat(X1,X0),X0)
% 21.66/22.70      | c_less(c_0,X1,tc_nat) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9062_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19091,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.66/22.70      | ~ c_less(c_0,c_NatArith_Oof__nat(X1,X0),X0)
% 21.66/22.70      | c_less(c_0,X1,tc_nat) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2424]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19092,plain,
% 21.66/22.70      ( ~ c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 21.66/22.70      | c_less(c_0,X0,tc_nat)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_19091]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2421,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | ~ c_less(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 21.66/22.70      | c_less(X1,c_0,tc_IntDef_Oint) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9061_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19085,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | ~ c_less(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 21.66/22.70      | c_less(X1,c_0,tc_IntDef_Oint) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2421]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19086,plain,
% 21.66/22.70      ( ~ c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 21.66/22.70      | c_less(X0,c_0,tc_IntDef_Oint)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_19085]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2418,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | ~ c_lessequals(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 21.66/22.70      | c_lessequals(X1,c_0,tc_IntDef_Oint) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9060_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19079,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | ~ c_lessequals(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 21.66/22.70      | c_lessequals(X1,c_0,tc_IntDef_Oint) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2418]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19080,plain,
% 21.66/22.70      ( ~ c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 21.66/22.70      | c_lessequals(X0,c_0,tc_IntDef_Oint)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_19079]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2415,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | ~ c_less(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 21.66/22.70      | c_less(c_0,X1,tc_IntDef_Oint) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9059_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19073,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | ~ c_less(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 21.66/22.70      | c_less(c_0,X1,tc_IntDef_Oint) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2415]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19074,plain,
% 21.66/22.70      ( ~ c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 21.66/22.70      | c_less(c_0,X0,tc_IntDef_Oint)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_19073]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2412,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | ~ c_lessequals(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 21.66/22.70      | c_lessequals(c_0,X1,tc_IntDef_Oint) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9058_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19067,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | ~ c_lessequals(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 21.66/22.70      | c_lessequals(c_0,X1,tc_IntDef_Oint) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2412]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19068,plain,
% 21.66/22.70      ( ~ c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 21.66/22.70      | c_lessequals(c_0,X0,tc_IntDef_Oint)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_19067]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2403,plain,
% 21.66/22.70      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.70      | ~ c_less(c_0,c_uminus(X1,X0),X0)
% 21.66/22.70      | c_less(X1,c_0,X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9055_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19049,plain,
% 21.66/22.70      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.70      | ~ c_less(c_0,c_uminus(X1,X0),X0)
% 21.66/22.70      | c_less(X1,c_0,X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2403]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19050,plain,
% 21.66/22.70      ( ~ c_less(c_0,c_uminus(X0,X1),X1)
% 21.66/22.70      | c_less(X0,c_0,X1)
% 21.66/22.70      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_19049]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2400,plain,
% 21.66/22.70      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.70      | ~ c_lessequals(c_0,c_uminus(X1,X0),X0)
% 21.66/22.70      | c_lessequals(X1,c_0,X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9054_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19043,plain,
% 21.66/22.70      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.70      | ~ c_lessequals(c_0,c_uminus(X1,X0),X0)
% 21.66/22.70      | c_lessequals(X1,c_0,X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2400]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19044,plain,
% 21.66/22.70      ( ~ c_lessequals(c_0,c_uminus(X0,X1),X1)
% 21.66/22.70      | c_lessequals(X0,c_0,X1)
% 21.66/22.70      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_19043]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2391,plain,
% 21.66/22.70      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.70      | ~ class_Power_Orecpower(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1 ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9051_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19025,plain,
% 21.66/22.70      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.70      | ~ class_Power_Orecpower(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1 ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2391]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19026,plain,
% 21.66/22.70      ( ~ class_Power_Orecpower(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.70      | c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1 ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_19025]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2388,plain,
% 21.66/22.70      ( ~ class_Orderings_Oord(X0)
% 21.66/22.70      | ~ c_in(X1,c_SetInterval_OlessThan(X2,X0),X0)
% 21.66/22.70      | c_less(X1,X2,X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9050_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19019,plain,
% 21.66/22.70      ( ~ class_Orderings_Oord(X0)
% 21.66/22.70      | ~ c_in(X1,c_SetInterval_OlessThan(X2,X0),X0)
% 21.66/22.70      | c_less(X1,X2,X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2388]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19020,plain,
% 21.66/22.70      ( ~ c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 21.66/22.70      | c_less(X0,X1,X2)
% 21.66/22.70      | ~ class_Orderings_Oord(X2) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_19019]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2385,plain,
% 21.66/22.70      ( ~ class_Orderings_Oord(X0)
% 21.66/22.70      | ~ c_in(X1,c_SetInterval_OgreaterThan(X2,X0),X0)
% 21.66/22.70      | c_less(X2,X1,X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9049_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19013,plain,
% 21.66/22.70      ( ~ class_Orderings_Oord(X0)
% 21.66/22.70      | ~ c_in(X1,c_SetInterval_OgreaterThan(X2,X0),X0)
% 21.66/22.70      | c_less(X2,X1,X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2385]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19014,plain,
% 21.66/22.70      ( ~ c_in(X0,c_SetInterval_OgreaterThan(X1,X2),X2)
% 21.66/22.70      | c_less(X1,X0,X2)
% 21.66/22.70      | ~ class_Orderings_Oord(X2) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_19013]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2382,plain,
% 21.66/22.70      ( ~ class_Orderings_Oord(X0)
% 21.66/22.70      | ~ c_in(X1,c_SetInterval_OatMost(X2,X0),X0)
% 21.66/22.70      | c_lessequals(X1,X2,X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9048_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19007,plain,
% 21.66/22.70      ( ~ class_Orderings_Oord(X0)
% 21.66/22.70      | ~ c_in(X1,c_SetInterval_OatMost(X2,X0),X0)
% 21.66/22.70      | c_lessequals(X1,X2,X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2382]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19008,plain,
% 21.66/22.70      ( ~ c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 21.66/22.70      | c_lessequals(X0,X1,X2)
% 21.66/22.70      | ~ class_Orderings_Oord(X2) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_19007]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2379,plain,
% 21.66/22.70      ( ~ class_Orderings_Oord(X0)
% 21.66/22.70      | ~ c_in(X1,c_SetInterval_OatLeast(X2,X0),X0)
% 21.66/22.70      | c_lessequals(X2,X1,X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9047_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19001,plain,
% 21.66/22.70      ( ~ class_Orderings_Oord(X0)
% 21.66/22.70      | ~ c_in(X1,c_SetInterval_OatLeast(X2,X0),X0)
% 21.66/22.70      | c_lessequals(X2,X1,X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2379]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_19002,plain,
% 21.66/22.70      ( ~ c_in(X0,c_SetInterval_OatLeast(X1,X2),X2)
% 21.66/22.70      | c_lessequals(X1,X0,X2)
% 21.66/22.70      | ~ class_Orderings_Oord(X2) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_19001]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2362,plain,
% 21.66/22.70      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0)
% 21.66/22.70      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9043_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18967,plain,
% 21.66/22.70      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0)
% 21.66/22.70      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2362]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18968,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.70      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0)
% 21.66/22.70      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18967]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2354,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.70      | ~ c_less(c_0,c_HOL_Oinverse(X1,X0),X0)
% 21.66/22.70      | c_less(c_0,X1,X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9040_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18951,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.70      | ~ c_less(c_0,c_HOL_Oinverse(X1,X0),X0)
% 21.66/22.70      | c_less(c_0,X1,X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2354]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18952,plain,
% 21.66/22.70      ( ~ c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 21.66/22.70      | c_less(c_0,X0,X1)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.70      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18951]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2350,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.70      | ~ c_lessequals(c_HOL_Oinverse(X1,X0),c_0,X0)
% 21.66/22.70      | c_lessequals(X1,c_0,X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9039_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18943,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.70      | ~ c_lessequals(c_HOL_Oinverse(X1,X0),c_0,X0)
% 21.66/22.70      | c_lessequals(X1,c_0,X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2350]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18944,plain,
% 21.66/22.70      ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 21.66/22.70      | c_lessequals(X0,c_0,X1)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.70      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18943]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2346,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.70      | ~ c_lessequals(c_0,c_HOL_Oinverse(X1,X0),X0)
% 21.66/22.70      | c_lessequals(c_0,X1,X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9038_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18935,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.70      | ~ c_lessequals(c_0,c_HOL_Oinverse(X1,X0),X0)
% 21.66/22.70      | c_lessequals(c_0,X1,X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2346]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18936,plain,
% 21.66/22.70      ( ~ c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 21.66/22.70      | c_lessequals(c_0,X0,X1)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.70      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18935]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2342,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.70      | ~ c_less(c_HOL_Oinverse(X1,X0),c_0,X0)
% 21.66/22.70      | c_less(X1,c_0,X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9037_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18927,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.70      | ~ c_less(c_HOL_Oinverse(X1,X0),c_0,X0)
% 21.66/22.70      | c_less(X1,c_0,X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2342]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18928,plain,
% 21.66/22.70      ( ~ c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 21.66/22.70      | c_less(X0,c_0,X1)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.70      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18927]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2341,plain,
% 21.66/22.70      ( X0 = X1
% 21.66/22.70      | ~ c_lessequals(X0,X1,tc_set(X2))
% 21.66/22.70      | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9036_2) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18925,plain,
% 21.66/22.70      ( X0 = X1
% 21.66/22.70      | ~ c_lessequals(X0,X1,tc_set(X2))
% 21.66/22.70      | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2341]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18926,plain,
% 21.66/22.70      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 21.66/22.70      | ~ c_lessequals(X1,X0,tc_set(X2))
% 21.66/22.70      | X0 = X1 ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18925]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2338,plain,
% 21.66/22.70      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 21.66/22.70      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9035_3) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18919,plain,
% 21.66/22.70      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 21.66/22.70      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2338]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18920,plain,
% 21.66/22.70      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18919]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2335,plain,
% 21.66/22.70      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9035_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18913,plain,
% 21.66/22.70      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2335]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18914,plain,
% 21.66/22.70      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18913]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2331,plain,
% 21.66/22.70      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9034_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18905,plain,
% 21.66/22.70      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2331]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18906,plain,
% 21.66/22.70      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18905]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2316,plain,
% 21.66/22.70      ( ~ c_Infinite__Set_Oatmost__one(X0,X1)
% 21.66/22.70      | X2 = X3
% 21.66/22.70      | ~ c_in(X3,X0,X1)
% 21.66/22.70      | ~ c_in(X2,X0,X1) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9027_2) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18875,plain,
% 21.66/22.70      ( ~ c_Infinite__Set_Oatmost__one(X0,X1)
% 21.66/22.70      | X2 = X3
% 21.66/22.70      | ~ c_in(X3,X0,X1)
% 21.66/22.70      | ~ c_in(X2,X0,X1) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2316]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18876,plain,
% 21.66/22.70      ( ~ c_in(X0,X1,X2)
% 21.66/22.70      | ~ c_in(X3,X1,X2)
% 21.66/22.70      | ~ c_Infinite__Set_Oatmost__one(X1,X2)
% 21.66/22.70      | X3 = X0 ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18875]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2314,plain,
% 21.66/22.70      ( ~ c_Infinite__Set_Oatmost__one(X0,X1)
% 21.66/22.70      | ~ c_in(X2,X0,X1)
% 21.66/22.70      | ~ c_in(X3,X0,X1)
% 21.66/22.70      | X2 = X3 ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9027_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18871,plain,
% 21.66/22.70      ( ~ c_Infinite__Set_Oatmost__one(X0,X1)
% 21.66/22.70      | ~ c_in(X2,X0,X1)
% 21.66/22.70      | ~ c_in(X3,X0,X1)
% 21.66/22.70      | X2 = X3 ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2314]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18872,plain,
% 21.66/22.70      ( ~ c_in(X0,X1,X2)
% 21.66/22.70      | ~ c_in(X3,X1,X2)
% 21.66/22.70      | ~ c_Infinite__Set_Oatmost__one(X1,X2)
% 21.66/22.70      | X0 = X3 ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18871]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2288,plain,
% 21.66/22.70      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X0),X0)
% 21.66/22.70      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9018_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18819,plain,
% 21.66/22.70      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X0),X0)
% 21.66/22.70      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2288]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18820,plain,
% 21.66/22.70      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),X2),X2)
% 21.66/22.70      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X2),X2)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 21.66/22.70      | ~ class_Numeral_Onumber__ring(X2) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18819]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2269,plain,
% 21.66/22.70      ( 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)
% 21.66/22.70      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9010_2) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18781,plain,
% 21.66/22.70      ( 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)
% 21.66/22.70      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2269]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18782,plain,
% 21.66/22.70      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | 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) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18781]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2266,plain,
% 21.66/22.70      ( 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)
% 21.66/22.70      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9009_2) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18775,plain,
% 21.66/22.70      ( 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)
% 21.66/22.70      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2266]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18776,plain,
% 21.66/22.70      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | 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) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18775]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2230,plain,
% 21.66/22.70      ( ~ class_Power_Orecpower(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.66/22.70      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8996_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18703,plain,
% 21.66/22.70      ( ~ class_Power_Orecpower(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.66/22.70      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2230]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18704,plain,
% 21.66/22.70      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 21.66/22.70      | ~ class_Power_Orecpower(X1)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.66/22.70      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0 ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18703]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2219,plain,
% 21.66/22.70      ( 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)
% 21.66/22.70      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8990_2) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18681,plain,
% 21.66/22.70      ( 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)
% 21.66/22.70      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2219]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18682,plain,
% 21.66/22.70      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | 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) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18681]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2213,plain,
% 21.66/22.70      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.70      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.70      | c_lessequals(c_Finite__Set_OMin(X1,X0),c_Finite__Set_OMax(X1,X0),X0)
% 21.66/22.70      | X1 = c_emptyset ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8989_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18669,plain,
% 21.66/22.70      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.70      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.70      | c_lessequals(c_Finite__Set_OMin(X1,X0),c_Finite__Set_OMax(X1,X0),X0)
% 21.66/22.70      | X1 = c_emptyset ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2213]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18670,plain,
% 21.66/22.70      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.66/22.70      | c_lessequals(c_Finite__Set_OMin(X0,X1),c_Finite__Set_OMax(X0,X1),X1)
% 21.66/22.70      | ~ class_Orderings_Olinorder(X1)
% 21.66/22.70      | X0 = c_emptyset ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18669]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2201,plain,
% 21.66/22.70      ( ~ class_Power_Orecpower(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0) != c_0
% 21.66/22.70      | c_less(c_0,c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8985_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18645,plain,
% 21.66/22.70      ( ~ class_Power_Orecpower(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0) != c_0
% 21.66/22.70      | c_less(c_0,c_Numeral_Onumber__of(X2,tc_nat),tc_nat) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2201]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18646,plain,
% 21.66/22.70      ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 21.66/22.70      | ~ class_Power_Orecpower(X1)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.66/22.70      | c_Nat_Opower(X2,c_Numeral_Onumber__of(X0,tc_nat),X1) != c_0 ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18645]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2192,plain,
% 21.66/22.70      ( ~ class_HOL_Oone(X0)
% 21.66/22.70      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.70      | ~ c_less(c_uminus(c_1,X0),X1,X0)
% 21.66/22.70      | c_less(c_uminus(X1,X0),c_1,X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8982_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18627,plain,
% 21.66/22.70      ( ~ class_HOL_Oone(X0)
% 21.66/22.70      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.70      | ~ c_less(c_uminus(c_1,X0),X1,X0)
% 21.66/22.70      | c_less(c_uminus(X1,X0),c_1,X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2192]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18628,plain,
% 21.66/22.70      ( ~ c_less(c_uminus(c_1,X0),X1,X0)
% 21.66/22.70      | c_less(c_uminus(X1,X0),c_1,X0)
% 21.66/22.70      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.70      | ~ class_HOL_Oone(X0) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18627]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2188,plain,
% 21.66/22.70      ( ~ class_HOL_Oone(X0)
% 21.66/22.70      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.70      | ~ c_lessequals(c_uminus(c_1,X0),X1,X0)
% 21.66/22.70      | c_lessequals(c_uminus(X1,X0),c_1,X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8981_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18619,plain,
% 21.66/22.70      ( ~ class_HOL_Oone(X0)
% 21.66/22.70      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.70      | ~ c_lessequals(c_uminus(c_1,X0),X1,X0)
% 21.66/22.70      | c_lessequals(c_uminus(X1,X0),c_1,X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2188]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18620,plain,
% 21.66/22.70      ( ~ c_lessequals(c_uminus(c_1,X0),X1,X0)
% 21.66/22.70      | c_lessequals(c_uminus(X1,X0),c_1,X0)
% 21.66/22.70      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.70      | ~ class_HOL_Oone(X0) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18619]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2179,plain,
% 21.66/22.70      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8978_2) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18601,plain,
% 21.66/22.70      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2179]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18602,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18601]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2177,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8978_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18597,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2177]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18598,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.70      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18597]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2176,plain,
% 21.66/22.70      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8977_2) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18595,plain,
% 21.66/22.70      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2176]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18596,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18595]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2174,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8977_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18591,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2174]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18592,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 21.66/22.70      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18591]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2173,plain,
% 21.66/22.70      ( c_Parity_Oeven(X0,tc_nat)
% 21.66/22.70      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 21.66/22.70      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8976_2) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18589,plain,
% 21.66/22.70      ( c_Parity_Oeven(X0,tc_nat)
% 21.66/22.70      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 21.66/22.70      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2173]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18590,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 21.66/22.70      | c_Parity_Oeven(X1,tc_nat)
% 21.66/22.70      | ~ c_Parity_Oeven(X0,tc_nat) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18589]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2171,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(X0,tc_nat)
% 21.66/22.70      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 21.66/22.70      | c_Parity_Oeven(X1,tc_nat) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8976_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18585,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(X0,tc_nat)
% 21.66/22.70      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 21.66/22.70      | c_Parity_Oeven(X1,tc_nat) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2171]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18586,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 21.66/22.70      | ~ c_Parity_Oeven(X0,tc_nat)
% 21.66/22.70      | c_Parity_Oeven(X1,tc_nat) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18585]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2170,plain,
% 21.66/22.70      ( c_Parity_Oeven(X0,tc_nat)
% 21.66/22.70      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 21.66/22.70      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8975_2) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18583,plain,
% 21.66/22.70      ( c_Parity_Oeven(X0,tc_nat)
% 21.66/22.70      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 21.66/22.70      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2170]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18584,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 21.66/22.70      | c_Parity_Oeven(X0,tc_nat)
% 21.66/22.70      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18583]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2168,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(X0,tc_nat)
% 21.66/22.70      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 21.66/22.70      | c_Parity_Oeven(X1,tc_nat) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8975_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18579,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(X0,tc_nat)
% 21.66/22.70      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 21.66/22.70      | c_Parity_Oeven(X1,tc_nat) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2168]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18580,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 21.66/22.70      | ~ c_Parity_Oeven(X1,tc_nat)
% 21.66/22.70      | c_Parity_Oeven(X0,tc_nat) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18579]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2167,plain,
% 21.66/22.70      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8974_2) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18577,plain,
% 21.66/22.70      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2167]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18578,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18577]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2165,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8974_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18573,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2165]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18574,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.70      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18573]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2164,plain,
% 21.66/22.70      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8973_2) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18571,plain,
% 21.66/22.70      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2164]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18572,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18571]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2162,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8973_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18567,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2162]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18568,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 21.66/22.70      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18567]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2150,plain,
% 21.66/22.70      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Ofield(X0)
% 21.66/22.70      | c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8970_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18543,plain,
% 21.66/22.70      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Ofield(X0)
% 21.66/22.70      | c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2150]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18544,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.70      | ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Ofield(X0)
% 21.66/22.70      | c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18543]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2146,plain,
% 21.66/22.70      ( ~ class_HOL_Oone(X0)
% 21.66/22.70      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.70      | ~ c_less(c_1,c_uminus(X1,X0),X0)
% 21.66/22.70      | c_less(X1,c_uminus(c_1,X0),X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8969_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18535,plain,
% 21.66/22.70      ( ~ class_HOL_Oone(X0)
% 21.66/22.70      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.70      | ~ c_less(c_1,c_uminus(X1,X0),X0)
% 21.66/22.70      | c_less(X1,c_uminus(c_1,X0),X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2146]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18536,plain,
% 21.66/22.70      ( ~ c_less(c_1,c_uminus(X0,X1),X1)
% 21.66/22.70      | c_less(X0,c_uminus(c_1,X1),X1)
% 21.66/22.70      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 21.66/22.70      | ~ class_HOL_Oone(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18535]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2142,plain,
% 21.66/22.70      ( ~ class_HOL_Oone(X0)
% 21.66/22.70      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.70      | ~ c_lessequals(c_1,c_uminus(X1,X0),X0)
% 21.66/22.70      | c_lessequals(X1,c_uminus(c_1,X0),X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8968_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18527,plain,
% 21.66/22.70      ( ~ class_HOL_Oone(X0)
% 21.66/22.70      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.70      | ~ c_lessequals(c_1,c_uminus(X1,X0),X0)
% 21.66/22.70      | c_lessequals(X1,c_uminus(c_1,X0),X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2142]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18528,plain,
% 21.66/22.70      ( ~ c_lessequals(c_1,c_uminus(X0,X1),X1)
% 21.66/22.70      | c_lessequals(X0,c_uminus(c_1,X1),X1)
% 21.66/22.70      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 21.66/22.70      | ~ class_HOL_Oone(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18527]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2137,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_less(c_0,X1,tc_nat)
% 21.66/22.70      | c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8966_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18517,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_less(c_0,X1,tc_nat)
% 21.66/22.70      | c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2137]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18518,plain,
% 21.66/22.70      ( ~ c_less(c_0,X0,tc_nat)
% 21.66/22.70      | c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18517]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2134,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(X0,tc_nat)
% 21.66/22.70      | ~ c_less(c_0,X1,tc_nat)
% 21.66/22.70      | c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8965_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18511,plain,
% 21.66/22.70      ( ~ c_Parity_Oeven(X0,tc_nat)
% 21.66/22.70      | ~ c_less(c_0,X1,tc_nat)
% 21.66/22.70      | c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2134]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18512,plain,
% 21.66/22.70      ( ~ c_less(c_0,X0,tc_nat)
% 21.66/22.70      | c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_nat),tc_nat)
% 21.66/22.70      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18511]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2127,plain,
% 21.66/22.70      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.70      | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X0),X0) = c_uminus(c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8963_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18497,plain,
% 21.66/22.70      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.70      | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X0),X0) = c_uminus(c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2127]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18498,plain,
% 21.66/22.70      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.66/22.70      | ~ class_Numeral_Onumber__ring(X1)
% 21.66/22.70      | c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_uminus(c_Numeral_Onumber__of(X0,X1),X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18497]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2116,plain,
% 21.66/22.70      ( ~ class_Power_Orecpower(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),c_0,X0),X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8958_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18475,plain,
% 21.66/22.70      ( ~ class_Power_Orecpower(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),c_0,X0),X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2116]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18476,plain,
% 21.66/22.70      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),c_0,X1),X1)
% 21.66/22.70      | ~ class_Power_Orecpower(X1)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18475]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2112,plain,
% 21.66/22.70      ( c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 21.66/22.70      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8957_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18467,plain,
% 21.66/22.70      ( c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 21.66/22.70      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2112]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18468,plain,
% 21.66/22.70      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.70      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18467]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2103,plain,
% 21.66/22.70      ( ~ class_Power_Orecpower(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),X2,X0),X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8954_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18449,plain,
% 21.66/22.70      ( ~ class_Power_Orecpower(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),X2,X0),X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2103]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18450,plain,
% 21.66/22.70      ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 21.66/22.70      | ~ class_Power_Orecpower(X1)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18449]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2099,plain,
% 21.66/22.70      ( ~ class_Power_Orecpower(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),X2,X0),X0)
% 21.66/22.70      | X1 = c_0 ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8953_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18441,plain,
% 21.66/22.70      ( ~ class_Power_Orecpower(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),X2,X0),X0)
% 21.66/22.70      | X1 = c_0 ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2099]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18442,plain,
% 21.66/22.70      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 21.66/22.70      | ~ class_Power_Orecpower(X1)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.66/22.70      | X0 = c_0 ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18441]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2096,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.66/22.70      | ~ c_less(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 21.66/22.70      | c_less(X1,X2,tc_nat) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8952_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18435,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.66/22.70      | ~ c_less(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 21.66/22.70      | c_less(X1,X2,tc_nat) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2096]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18436,plain,
% 21.66/22.70      ( ~ c_less(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 21.66/22.70      | c_less(X0,X2,tc_nat)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18435]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2093,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.66/22.70      | ~ c_lessequals(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 21.66/22.70      | c_lessequals(X1,X2,tc_nat) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8951_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18429,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.66/22.70      | ~ c_lessequals(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 21.66/22.70      | c_lessequals(X1,X2,tc_nat) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2093]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18430,plain,
% 21.66/22.70      ( ~ c_lessequals(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 21.66/22.70      | c_lessequals(X0,X2,tc_nat)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18429]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2090,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | ~ c_less(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 21.66/22.70      | c_less(X1,X2,tc_IntDef_Oint) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8950_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18423,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | ~ c_less(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 21.66/22.70      | c_less(X1,X2,tc_IntDef_Oint) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2090]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18424,plain,
% 21.66/22.70      ( ~ c_less(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 21.66/22.70      | c_less(X0,X2,tc_IntDef_Oint)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18423]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2087,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | ~ c_lessequals(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 21.66/22.70      | c_lessequals(X1,X2,tc_IntDef_Oint) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8949_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18417,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.70      | ~ c_lessequals(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 21.66/22.70      | c_lessequals(X1,X2,tc_IntDef_Oint) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2087]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18418,plain,
% 21.66/22.70      ( ~ c_lessequals(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 21.66/22.70      | c_lessequals(X0,X2,tc_IntDef_Oint)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18417]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2083,plain,
% 21.66/22.70      ( ~ class_Power_Orecpower(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.66/22.70      | c_Parity_Oeven(X1,tc_nat)
% 21.66/22.70      | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_uminus(c_Nat_Opower(X2,X1,X0),X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8948_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18409,plain,
% 21.66/22.70      ( ~ class_Power_Orecpower(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.66/22.70      | c_Parity_Oeven(X1,tc_nat)
% 21.66/22.70      | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_uminus(c_Nat_Opower(X2,X1,X0),X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2083]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18410,plain,
% 21.66/22.70      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.66/22.70      | ~ class_Power_Orecpower(X0)
% 21.66/22.70      | c_Parity_Oeven(X1,tc_nat)
% 21.66/22.70      | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_uminus(c_Nat_Opower(X2,X1,X0),X0) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18409]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2078,plain,
% 21.66/22.70      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.70      | ~ c_less(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 21.66/22.70      | c_less(X2,X1,X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8946_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18399,plain,
% 21.66/22.70      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.70      | ~ c_less(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 21.66/22.70      | c_less(X2,X1,X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2078]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18400,plain,
% 21.66/22.70      ( ~ c_less(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 21.66/22.70      | c_less(X2,X0,X1)
% 21.66/22.70      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18399]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2075,plain,
% 21.66/22.70      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.70      | ~ c_lessequals(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 21.66/22.70      | c_lessequals(X2,X1,X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8945_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18393,plain,
% 21.66/22.70      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.70      | ~ c_lessequals(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 21.66/22.70      | c_lessequals(X2,X1,X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2075]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18394,plain,
% 21.66/22.70      ( ~ c_lessequals(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 21.66/22.70      | c_lessequals(X2,X0,X1)
% 21.66/22.70      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18393]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2061,plain,
% 21.66/22.70      ( ~ c_less(X0,X1,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_less(c_0,X1,tc_IntDef_Oint)
% 21.66/22.70      | c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8941_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18365,plain,
% 21.66/22.70      ( ~ c_less(X0,X1,tc_IntDef_Oint)
% 21.66/22.70      | ~ c_less(c_0,X1,tc_IntDef_Oint)
% 21.66/22.70      | c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2061]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18366,plain,
% 21.66/22.70      ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 21.66/22.70      | c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X0),tc_nat)
% 21.66/22.70      | ~ c_less(X1,X0,tc_IntDef_Oint) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18365]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_2024,plain,
% 21.66/22.70      ( c_in(X0,X1,X2) | ~ c_lessequals(X3,X1,tc_set(X2)) | ~ c_in(X0,X3,X2) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8922_2) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18291,plain,
% 21.66/22.70      ( c_in(X0,X1,X2) | ~ c_lessequals(X3,X1,tc_set(X2)) | ~ c_in(X0,X3,X2) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_2024]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18292,plain,
% 21.66/22.70      ( c_in(X0,X1,X2) | ~ c_in(X0,X3,X2) | ~ c_lessequals(X3,X1,tc_set(X2)) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18291]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_1985,plain,
% 21.66/22.70      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.70      | ~ c_lessequals(c_SetInterval_OlessThan(X1,X0),c_SetInterval_OlessThan(X2,X0),tc_set(X0))
% 21.66/22.70      | c_lessequals(X1,X2,X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8907_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18213,plain,
% 21.66/22.70      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.70      | ~ c_lessequals(c_SetInterval_OlessThan(X1,X0),c_SetInterval_OlessThan(X2,X0),tc_set(X0))
% 21.66/22.70      | c_lessequals(X1,X2,X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_1985]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18214,plain,
% 21.66/22.70      ( ~ c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X2,X1),tc_set(X1))
% 21.66/22.70      | c_lessequals(X0,X2,X1)
% 21.66/22.70      | ~ class_Orderings_Olinorder(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18213]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_1982,plain,
% 21.66/22.70      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.70      | ~ c_lessequals(c_SetInterval_OgreaterThan(X1,X0),c_SetInterval_OgreaterThan(X2,X0),tc_set(X0))
% 21.66/22.70      | c_lessequals(X2,X1,X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8906_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18207,plain,
% 21.66/22.70      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.70      | ~ c_lessequals(c_SetInterval_OgreaterThan(X1,X0),c_SetInterval_OgreaterThan(X2,X0),tc_set(X0))
% 21.66/22.70      | c_lessequals(X2,X1,X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_1982]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18208,plain,
% 21.66/22.70      ( ~ c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X2,X1),tc_set(X1))
% 21.66/22.70      | c_lessequals(X2,X0,X1)
% 21.66/22.70      | ~ class_Orderings_Olinorder(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18207]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_1979,plain,
% 21.66/22.70      ( ~ class_Orderings_Oorder(X0)
% 21.66/22.70      | ~ c_lessequals(c_SetInterval_OatMost(X1,X0),c_SetInterval_OatMost(X2,X0),tc_set(X0))
% 21.66/22.70      | c_lessequals(X1,X2,X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8905_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18201,plain,
% 21.66/22.70      ( ~ class_Orderings_Oorder(X0)
% 21.66/22.70      | ~ c_lessequals(c_SetInterval_OatMost(X1,X0),c_SetInterval_OatMost(X2,X0),tc_set(X0))
% 21.66/22.70      | c_lessequals(X1,X2,X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_1979]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18202,plain,
% 21.66/22.70      ( ~ c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X2,X1),tc_set(X1))
% 21.66/22.70      | c_lessequals(X0,X2,X1)
% 21.66/22.70      | ~ class_Orderings_Oorder(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18201]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_1976,plain,
% 21.66/22.70      ( ~ class_Orderings_Oorder(X0)
% 21.66/22.70      | ~ c_lessequals(c_SetInterval_OatLeast(X1,X0),c_SetInterval_OatLeast(X2,X0),tc_set(X0))
% 21.66/22.70      | c_lessequals(X2,X1,X0) ),
% 21.66/22.70      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8904_0) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18195,plain,
% 21.66/22.70      ( ~ class_Orderings_Oorder(X0)
% 21.66/22.70      | ~ c_lessequals(c_SetInterval_OatLeast(X1,X0),c_SetInterval_OatLeast(X2,X0),tc_set(X0))
% 21.66/22.70      | c_lessequals(X2,X1,X0) ),
% 21.66/22.70      inference(copy,[status(esa)],[c_1976]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_18196,plain,
% 21.66/22.70      ( ~ c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X2,X1),tc_set(X1))
% 21.66/22.70      | c_lessequals(X2,X0,X1)
% 21.66/22.70      | ~ class_Orderings_Oorder(X1) ),
% 21.66/22.70      inference(rewriting,[status(thm)],[c_18195]) ).
% 21.66/22.70  
% 21.66/22.70  cnf(c_1970,plain,
% 21.66/22.70      ( ~ class_Power_Orecpower(X0)
% 21.66/22.70      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.71      | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 21.66/22.71      | c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8902_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_18183,plain,
% 21.66/22.71      ( ~ class_Power_Orecpower(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.71      | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 21.66/22.71      | c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1970]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_18184,plain,
% 21.66/22.71      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 21.66/22.71      | ~ class_Power_Orecpower(X2)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 21.66/22.71      | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_18183]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1962,plain,
% 21.66/22.71      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.71      | c_divide(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_divide(X1,X2,X0),X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8899_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_18167,plain,
% 21.66/22.71      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.71      | c_divide(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_divide(X1,X2,X0),X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1962]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_18168,plain,
% 21.66/22.71      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.71      | c_divide(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_divide(X1,X2,X0),X0) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_18167]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1950,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.71      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8894_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_18143,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.71      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1950]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_18144,plain,
% 21.66/22.71      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.66/22.71      | ~ class_Numeral_Onumber__ring(X1) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_18143]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1932,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.71      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8886_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_18107,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.71      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1932]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_18108,plain,
% 21.66/22.71      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.66/22.71      | ~ class_Numeral_Onumber__ring(X1) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_18107]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1874,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Ofield(X0)
% 21.66/22.71      | c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8867_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17991,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Ofield(X0)
% 21.66/22.71      | c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1874]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17992,plain,
% 21.66/22.71      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.71      | ~ class_Numeral_Onumber(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Ofield(X0)
% 21.66/22.71      | c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17991]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1859,plain,
% 21.66/22.71      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8861_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17961,plain,
% 21.66/22.71      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1859]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17962,plain,
% 21.66/22.71      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17961]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1843,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_in(X1,X2,X0)
% 21.66/22.71      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.71      | c_lessequals(c_Finite__Set_OMin(X2,X0),X1,X0)
% 21.66/22.71      | X2 = c_emptyset ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8856_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17929,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_in(X1,X2,X0)
% 21.66/22.71      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.71      | c_lessequals(c_Finite__Set_OMin(X2,X0),X1,X0)
% 21.66/22.71      | X2 = c_emptyset ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1843]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17930,plain,
% 21.66/22.71      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.66/22.71      | ~ c_in(X2,X0,X1)
% 21.66/22.71      | c_lessequals(c_Finite__Set_OMin(X0,X1),X2,X1)
% 21.66/22.71      | ~ class_Orderings_Olinorder(X1)
% 21.66/22.71      | X0 = c_emptyset ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17929]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1838,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_in(X1,X2,X0)
% 21.66/22.71      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.71      | c_lessequals(X1,c_Finite__Set_OMax(X2,X0),X0)
% 21.66/22.71      | X2 = c_emptyset ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8855_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17919,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_in(X1,X2,X0)
% 21.66/22.71      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.71      | c_lessequals(X1,c_Finite__Set_OMax(X2,X0),X0)
% 21.66/22.71      | X2 = c_emptyset ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1838]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17920,plain,
% 21.66/22.71      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.66/22.71      | ~ c_in(X2,X0,X1)
% 21.66/22.71      | c_lessequals(X2,c_Finite__Set_OMax(X0,X1),X1)
% 21.66/22.71      | ~ class_Orderings_Olinorder(X1)
% 21.66/22.71      | X0 = c_emptyset ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17919]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1833,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_in(X1,X2,X0)
% 21.66/22.71      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.71      | X2 = c_emptyset
% 21.66/22.71      | c_Orderings_Omax(X1,c_Finite__Set_OMin(X2,X0),X0) = X1 ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8854_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17909,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_in(X1,X2,X0)
% 21.66/22.71      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.71      | X2 = c_emptyset
% 21.66/22.71      | c_Orderings_Omax(X1,c_Finite__Set_OMin(X2,X0),X0) = X1 ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1833]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17910,plain,
% 21.66/22.71      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.66/22.71      | ~ c_in(X2,X0,X1)
% 21.66/22.71      | ~ class_Orderings_Olinorder(X1)
% 21.66/22.71      | c_Orderings_Omax(X2,c_Finite__Set_OMin(X0,X1),X1) = X2
% 21.66/22.71      | X0 = c_emptyset ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17909]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1828,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_in(X1,X2,X0)
% 21.66/22.71      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.71      | X2 = c_emptyset
% 21.66/22.71      | c_Orderings_Omin(X1,c_Finite__Set_OMax(X2,X0),X0) = X1 ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8853_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17899,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_in(X1,X2,X0)
% 21.66/22.71      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.71      | X2 = c_emptyset
% 21.66/22.71      | c_Orderings_Omin(X1,c_Finite__Set_OMax(X2,X0),X0) = X1 ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1828]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17900,plain,
% 21.66/22.71      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.66/22.71      | ~ c_in(X2,X0,X1)
% 21.66/22.71      | ~ class_Orderings_Olinorder(X1)
% 21.66/22.71      | c_Orderings_Omin(X2,c_Finite__Set_OMax(X0,X1),X1) = X2
% 21.66/22.71      | X0 = c_emptyset ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17899]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1823,plain,
% 21.66/22.71      ( ~ class_Power_Orecpower(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.66/22.71      | ~ c_less(c_1,X1,X0)
% 21.66/22.71      | c_Nat_Opower(X1,X2,X0) != c_Nat_Opower(X1,X3,X0)
% 21.66/22.71      | X2 = X3 ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8852_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17889,plain,
% 21.66/22.71      ( ~ class_Power_Orecpower(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.66/22.71      | ~ c_less(c_1,X1,X0)
% 21.66/22.71      | c_Nat_Opower(X1,X2,X0) != c_Nat_Opower(X1,X3,X0)
% 21.66/22.71      | X2 = X3 ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1823]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17890,plain,
% 21.66/22.71      ( ~ c_less(c_1,X0,X1)
% 21.66/22.71      | ~ class_Power_Orecpower(X1)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__semidom(X1)
% 21.66/22.71      | c_Nat_Opower(X0,X2,X1) != c_Nat_Opower(X0,X3,X1)
% 21.66/22.71      | X2 = X3 ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17889]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1819,plain,
% 21.66/22.71      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8850_2) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17881,plain,
% 21.66/22.71      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1819]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17882,plain,
% 21.66/22.71      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17881]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1817,plain,
% 21.66/22.71      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8850_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17877,plain,
% 21.66/22.71      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1817]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17878,plain,
% 21.66/22.71      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17877]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1800,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Ofield(X0)
% 21.66/22.71      | c_Numeral_Onumber__of(X1,X0) = c_0
% 21.66/22.71      | c_divide(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = X2 ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8846_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17843,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Ofield(X0)
% 21.66/22.71      | c_Numeral_Onumber__of(X1,X0) = c_0
% 21.66/22.71      | c_divide(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = X2 ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1800]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17844,plain,
% 21.66/22.71      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.71      | ~ class_Numeral_Onumber(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Ofield(X0)
% 21.66/22.71      | c_Numeral_Onumber__of(X1,X0) = c_0
% 21.66/22.71      | c_divide(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = X2 ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17843]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1795,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Ofield(X0)
% 21.66/22.71      | c_times(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),c_Numeral_Onumber__of(X2,X0),X0) = X1
% 21.66/22.71      | c_Numeral_Onumber__of(X2,X0) = c_0 ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8845_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17833,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Ofield(X0)
% 21.66/22.71      | c_times(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),c_Numeral_Onumber__of(X2,X0),X0) = X1
% 21.66/22.71      | c_Numeral_Onumber__of(X2,X0) = c_0 ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1795]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17834,plain,
% 21.66/22.71      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.71      | ~ class_Numeral_Onumber(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Ofield(X0)
% 21.66/22.71      | c_Numeral_Onumber__of(X1,X0) = c_0
% 21.66/22.71      | c_times(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = X2 ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17833]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1791,plain,
% 21.66/22.71      ( ~ class_Power_Orecpower(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.71      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.66/22.71      | c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8844_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17825,plain,
% 21.66/22.71      ( ~ class_Power_Orecpower(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.71      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.66/22.71      | c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1791]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17826,plain,
% 21.66/22.71      ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 21.66/22.71      | ~ class_Power_Orecpower(X2)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 21.66/22.71      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17825]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1778,plain,
% 21.66/22.71      ( ~ c_in(X0,X1,tc_set(X2))
% 21.66/22.71      | ~ c_in(X3,c_Inter(X1,X2),X2)
% 21.66/22.71      | c_in(X3,X0,X2) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8839_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17799,plain,
% 21.66/22.71      ( ~ c_in(X0,X1,tc_set(X2))
% 21.66/22.71      | ~ c_in(X3,c_Inter(X1,X2),X2)
% 21.66/22.71      | c_in(X3,X0,X2) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1778]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17800,plain,
% 21.66/22.71      ( ~ c_in(X0,c_Inter(X1,X2),X2)
% 21.66/22.71      | ~ c_in(X3,X1,tc_set(X2))
% 21.66/22.71      | c_in(X0,X3,X2) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17799]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1773,plain,
% 21.66/22.71      ( ~ class_Power_Orecpower(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.71      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.66/22.71      | c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 21.66/22.71      | X2 = c_0 ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8838_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17789,plain,
% 21.66/22.71      ( ~ class_Power_Orecpower(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.71      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.66/22.71      | c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 21.66/22.71      | X2 = c_0 ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1773]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17790,plain,
% 21.66/22.71      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 21.66/22.71      | ~ class_Power_Orecpower(X2)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 21.66/22.71      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.66/22.71      | X0 = c_0 ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17789]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1753,plain,
% 21.66/22.71      ( ~ class_Power_Orecpower(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.71      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.66/22.71      | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 21.66/22.71      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8830_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17749,plain,
% 21.66/22.71      ( ~ class_Power_Orecpower(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.71      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.66/22.71      | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 21.66/22.71      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1753]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17750,plain,
% 21.66/22.71      ( c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),c_0,X1)
% 21.66/22.71      | ~ class_Power_Orecpower(X1)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.66/22.71      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 21.66/22.71      | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17749]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1737,plain,
% 21.66/22.71      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8824_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17717,plain,
% 21.66/22.71      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1737]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17718,plain,
% 21.66/22.71      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17717]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1733,plain,
% 21.66/22.71      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8823_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17709,plain,
% 21.66/22.71      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1733]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17710,plain,
% 21.66/22.71      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17709]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1711,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.71      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8813_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17665,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.71      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1711]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17666,plain,
% 21.66/22.71      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.66/22.71      | ~ class_Numeral_Onumber__ring(X1) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17665]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1700,plain,
% 21.66/22.71      ( c_inter(X0,X1,X2) != c_emptyset
% 21.66/22.71      | c_in(X3,X1,X2)
% 21.66/22.71      | c_inter(c_insert(X3,X0,X2),X1,X2) = c_emptyset ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8809_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17643,plain,
% 21.66/22.71      ( c_inter(X0,X1,X2) != c_emptyset
% 21.66/22.71      | c_in(X3,X1,X2)
% 21.66/22.71      | c_inter(c_insert(X3,X0,X2),X1,X2) = c_emptyset ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1700]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17644,plain,
% 21.66/22.71      ( c_in(X0,X1,X2)
% 21.66/22.71      | c_inter(c_insert(X0,X3,X2),X1,X2) = c_emptyset
% 21.66/22.71      | c_inter(X3,X1,X2) != c_emptyset ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17643]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1694,plain,
% 21.66/22.71      ( c_inter(X0,X1,X2) != c_emptyset
% 21.66/22.71      | c_in(X3,X0,X2)
% 21.66/22.71      | c_inter(X0,c_insert(X3,X1,X2),X2) = c_emptyset ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8807_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17631,plain,
% 21.66/22.71      ( c_inter(X0,X1,X2) != c_emptyset
% 21.66/22.71      | c_in(X3,X0,X2)
% 21.66/22.71      | c_inter(X0,c_insert(X3,X1,X2),X2) = c_emptyset ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1694]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17632,plain,
% 21.66/22.71      ( c_in(X0,X1,X2)
% 21.66/22.71      | c_inter(X1,c_insert(X0,X3,X2),X2) = c_emptyset
% 21.66/22.71      | c_inter(X1,X3,X2) != c_emptyset ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17631]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1682,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.71      | X1 = c_emptyset
% 21.66/22.71      | c_Orderings_Omin(X2,c_Finite__Set_OMin(X1,X0),X0) = c_Finite__Set_OMin(c_insert(X2,X1,X0),X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8803_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17607,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.71      | X1 = c_emptyset
% 21.66/22.71      | c_Orderings_Omin(X2,c_Finite__Set_OMin(X1,X0),X0) = c_Finite__Set_OMin(c_insert(X2,X1,X0),X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1682]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17608,plain,
% 21.66/22.71      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.66/22.71      | ~ class_Orderings_Olinorder(X1)
% 21.66/22.71      | c_Orderings_Omin(X2,c_Finite__Set_OMin(X0,X1),X1) = c_Finite__Set_OMin(c_insert(X2,X0,X1),X1)
% 21.66/22.71      | X0 = c_emptyset ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17607]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1678,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.71      | X1 = c_emptyset
% 21.66/22.71      | c_Orderings_Omax(X2,c_Finite__Set_OMax(X1,X0),X0) = c_Finite__Set_OMax(c_insert(X2,X1,X0),X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8802_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17599,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.71      | X1 = c_emptyset
% 21.66/22.71      | c_Orderings_Omax(X2,c_Finite__Set_OMax(X1,X0),X0) = c_Finite__Set_OMax(c_insert(X2,X1,X0),X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1678]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17600,plain,
% 21.66/22.71      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.66/22.71      | ~ class_Orderings_Olinorder(X1)
% 21.66/22.71      | c_Orderings_Omax(X2,c_Finite__Set_OMax(X0,X1),X1) = c_Finite__Set_OMax(c_insert(X2,X0,X1),X1)
% 21.66/22.71      | X0 = c_emptyset ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17599]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1651,plain,
% 21.66/22.71      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8791_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17545,plain,
% 21.66/22.71      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1651]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17546,plain,
% 21.66/22.71      ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.66/22.71      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17545]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1642,plain,
% 21.66/22.71      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.66/22.71      | ~ c_lessequals(c_0,c_plus(X1,X1,X0),X0)
% 21.66/22.71      | c_lessequals(c_0,X1,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8788_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17527,plain,
% 21.66/22.71      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.66/22.71      | ~ c_lessequals(c_0,c_plus(X1,X1,X0),X0)
% 21.66/22.71      | c_lessequals(c_0,X1,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1642]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17528,plain,
% 21.66/22.71      ( ~ c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 21.66/22.71      | c_lessequals(c_0,X0,X1)
% 21.66/22.71      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17527]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1639,plain,
% 21.66/22.71      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.66/22.71      | ~ c_lessequals(c_plus(X1,X1,X0),c_0,X0)
% 21.66/22.71      | c_lessequals(X1,c_0,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8787_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17521,plain,
% 21.66/22.71      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.66/22.71      | ~ c_lessequals(c_plus(X1,X1,X0),c_0,X0)
% 21.66/22.71      | c_lessequals(X1,c_0,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1639]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17522,plain,
% 21.66/22.71      ( ~ c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 21.66/22.71      | c_lessequals(X0,c_0,X1)
% 21.66/22.71      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17521]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1624,plain,
% 21.66/22.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.71      | ~ c_less(c_minus(X1,X2,X0),c_0,X0)
% 21.66/22.71      | c_less(X1,X2,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8781_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17491,plain,
% 21.66/22.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.71      | ~ c_less(c_minus(X1,X2,X0),c_0,X0)
% 21.66/22.71      | c_less(X1,X2,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1624]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17492,plain,
% 21.66/22.71      ( ~ c_less(c_minus(X0,X1,X2),c_0,X2)
% 21.66/22.71      | c_less(X0,X1,X2)
% 21.66/22.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17491]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1621,plain,
% 21.66/22.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.71      | ~ c_lessequals(c_minus(X1,X2,X0),c_0,X0)
% 21.66/22.71      | c_lessequals(X1,X2,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8780_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17485,plain,
% 21.66/22.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.71      | ~ c_lessequals(c_minus(X1,X2,X0),c_0,X0)
% 21.66/22.71      | c_lessequals(X1,X2,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1621]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17486,plain,
% 21.66/22.71      ( ~ c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 21.66/22.71      | c_lessequals(X0,X1,X2)
% 21.66/22.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17485]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1620,plain,
% 21.66/22.71      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8779_3) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17483,plain,
% 21.66/22.71      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1620]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17484,plain,
% 21.66/22.71      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17483]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1617,plain,
% 21.66/22.71      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8779_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17477,plain,
% 21.66/22.71      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1617]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17478,plain,
% 21.66/22.71      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17477]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1613,plain,
% 21.66/22.71      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8778_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17469,plain,
% 21.66/22.71      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1613]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17470,plain,
% 21.66/22.71      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.71      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17469]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1607,plain,
% 21.66/22.71      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.71      | ~ c_less(c_0,c_divide(c_1,X1,X0),X0)
% 21.66/22.71      | c_less(c_0,X1,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8776_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17457,plain,
% 21.66/22.71      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.71      | ~ c_less(c_0,c_divide(c_1,X1,X0),X0)
% 21.66/22.71      | c_less(c_0,X1,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1607]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17458,plain,
% 21.66/22.71      ( ~ c_less(c_0,c_divide(c_1,X0,X1),X1)
% 21.66/22.71      | c_less(c_0,X0,X1)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.71      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17457]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1603,plain,
% 21.66/22.71      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.71      | ~ c_lessequals(c_0,c_divide(c_1,X1,X0),X0)
% 21.66/22.71      | c_lessequals(c_0,X1,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8775_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17449,plain,
% 21.66/22.71      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.71      | ~ c_lessequals(c_0,c_divide(c_1,X1,X0),X0)
% 21.66/22.71      | c_lessequals(c_0,X1,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1603]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17450,plain,
% 21.66/22.71      ( ~ c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 21.66/22.71      | c_lessequals(c_0,X0,X1)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.71      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17449]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1599,plain,
% 21.66/22.71      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.71      | ~ c_less(c_divide(c_1,X1,X0),c_0,X0)
% 21.66/22.71      | c_less(X1,c_0,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8774_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17441,plain,
% 21.66/22.71      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.71      | ~ c_less(c_divide(c_1,X1,X0),c_0,X0)
% 21.66/22.71      | c_less(X1,c_0,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1599]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17442,plain,
% 21.66/22.71      ( ~ c_less(c_divide(c_1,X0,X1),c_0,X1)
% 21.66/22.71      | c_less(X0,c_0,X1)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.71      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17441]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1595,plain,
% 21.66/22.71      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.71      | ~ c_lessequals(c_divide(c_1,X1,X0),c_0,X0)
% 21.66/22.71      | c_lessequals(X1,c_0,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8773_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17433,plain,
% 21.66/22.71      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.71      | ~ c_lessequals(c_divide(c_1,X1,X0),c_0,X0)
% 21.66/22.71      | c_lessequals(X1,c_0,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1595]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17434,plain,
% 21.66/22.71      ( ~ c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 21.66/22.71      | c_lessequals(X0,c_0,X1)
% 21.66/22.71      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.71      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17433]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1591,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.71      | ~ c_less(c_uminus(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.71      | c_less(c_uminus(c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8772_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17425,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.71      | ~ c_less(c_uminus(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.71      | c_less(c_uminus(c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1591]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17426,plain,
% 21.66/22.71      ( c_less(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 21.66/22.71      | ~ c_less(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.71      | ~ class_Numeral_Onumber(X1)
% 21.66/22.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17425]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1587,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.71      | ~ c_lessequals(c_uminus(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.71      | c_lessequals(c_uminus(c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8771_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17417,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.71      | ~ c_lessequals(c_uminus(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.71      | c_lessequals(c_uminus(c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1587]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17418,plain,
% 21.66/22.71      ( c_lessequals(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 21.66/22.71      | ~ c_lessequals(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.71      | ~ class_Numeral_Onumber(X1)
% 21.66/22.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17417]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1583,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.71      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 21.66/22.71      | c_less(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8770_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17409,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.71      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 21.66/22.71      | c_less(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1583]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17410,plain,
% 21.66/22.71      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 21.66/22.71      | c_less(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.66/22.71      | ~ class_Numeral_Onumber(X1)
% 21.66/22.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17409]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1579,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.71      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 21.66/22.71      | c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8769_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17401,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.71      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 21.66/22.71      | c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1579]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17402,plain,
% 21.66/22.71      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 21.66/22.71      | c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.66/22.71      | ~ class_Numeral_Onumber(X1)
% 21.66/22.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17401]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1576,plain,
% 21.66/22.71      ( ~ c_in(X0,X1,X2)
% 21.66/22.71      | c_in(X0,X3,X2)
% 21.66/22.71      | c_in(X0,c_minus(X1,X3,tc_set(X2)),X2) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8768_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17395,plain,
% 21.66/22.71      ( ~ c_in(X0,X1,X2)
% 21.66/22.71      | c_in(X0,X3,X2)
% 21.66/22.71      | c_in(X0,c_minus(X1,X3,tc_set(X2)),X2) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1576]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17396,plain,
% 21.66/22.71      ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 21.66/22.71      | ~ c_in(X0,X1,X3)
% 21.66/22.71      | c_in(X0,X2,X3) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17395]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1571,plain,
% 21.66/22.71      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.66/22.71      | ~ c_lessequals(X1,X2,tc_nat)
% 21.66/22.71      | 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) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8766_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17385,plain,
% 21.66/22.71      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.66/22.71      | ~ c_lessequals(X1,X2,tc_nat)
% 21.66/22.71      | 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) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1571]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17386,plain,
% 21.66/22.71      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.66/22.71      | ~ class_Ring__and__Field_Ocomm__ring__1(X2)
% 21.66/22.71      | 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) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17385]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1568,plain,
% 21.66/22.71      ( ~ class_Orderings_Oord(X0)
% 21.66/22.71      | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X2,X3,X0),X0)
% 21.66/22.71      | c_less(X1,X3,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8765_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17379,plain,
% 21.66/22.71      ( ~ class_Orderings_Oord(X0)
% 21.66/22.71      | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X2,X3,X0),X0)
% 21.66/22.71      | c_less(X1,X3,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1568]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17380,plain,
% 21.66/22.71      ( ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,X3),X3)
% 21.66/22.71      | c_less(X0,X2,X3)
% 21.66/22.71      | ~ class_Orderings_Oord(X3) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17379]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1565,plain,
% 21.66/22.71      ( ~ class_Orderings_Oord(X0)
% 21.66/22.71      | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X2,X3,X0),X0)
% 21.66/22.71      | c_less(X2,X1,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8764_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17373,plain,
% 21.66/22.71      ( ~ class_Orderings_Oord(X0)
% 21.66/22.71      | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X2,X3,X0),X0)
% 21.66/22.71      | c_less(X2,X1,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1565]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17374,plain,
% 21.66/22.71      ( ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,X3),X3)
% 21.66/22.71      | c_less(X1,X0,X3)
% 21.66/22.71      | ~ class_Orderings_Oord(X3) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17373]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1562,plain,
% 21.66/22.71      ( ~ class_Orderings_Oord(X0)
% 21.66/22.71      | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X2,X3,X0),X0)
% 21.66/22.71      | c_lessequals(X1,X3,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8763_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17367,plain,
% 21.66/22.71      ( ~ class_Orderings_Oord(X0)
% 21.66/22.71      | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X2,X3,X0),X0)
% 21.66/22.71      | c_lessequals(X1,X3,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1562]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17368,plain,
% 21.66/22.71      ( ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,X3),X3)
% 21.66/22.71      | c_lessequals(X0,X2,X3)
% 21.66/22.71      | ~ class_Orderings_Oord(X3) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17367]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1559,plain,
% 21.66/22.71      ( ~ class_Orderings_Oord(X0)
% 21.66/22.71      | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X2,X3,X0),X0)
% 21.66/22.71      | c_less(X2,X1,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8762_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17361,plain,
% 21.66/22.71      ( ~ class_Orderings_Oord(X0)
% 21.66/22.71      | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X2,X3,X0),X0)
% 21.66/22.71      | c_less(X2,X1,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1559]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17362,plain,
% 21.66/22.71      ( ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,X3),X3)
% 21.66/22.71      | c_less(X1,X0,X3)
% 21.66/22.71      | ~ class_Orderings_Oord(X3) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17361]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1556,plain,
% 21.66/22.71      ( ~ class_Orderings_Oord(X0)
% 21.66/22.71      | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X2,X3,X0),X0)
% 21.66/22.71      | c_less(X1,X3,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8761_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17355,plain,
% 21.66/22.71      ( ~ class_Orderings_Oord(X0)
% 21.66/22.71      | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X2,X3,X0),X0)
% 21.66/22.71      | c_less(X1,X3,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1556]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17356,plain,
% 21.66/22.71      ( ~ c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,X3),X3)
% 21.66/22.71      | c_less(X0,X2,X3)
% 21.66/22.71      | ~ class_Orderings_Oord(X3) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17355]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1553,plain,
% 21.66/22.71      ( ~ class_Orderings_Oord(X0)
% 21.66/22.71      | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X2,X3,X0),X0)
% 21.66/22.71      | c_lessequals(X2,X1,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8760_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17349,plain,
% 21.66/22.71      ( ~ class_Orderings_Oord(X0)
% 21.66/22.71      | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X2,X3,X0),X0)
% 21.66/22.71      | c_lessequals(X2,X1,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1553]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17350,plain,
% 21.66/22.71      ( ~ c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,X3),X3)
% 21.66/22.71      | c_lessequals(X1,X0,X3)
% 21.66/22.71      | ~ class_Orderings_Oord(X3) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17349]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1550,plain,
% 21.66/22.71      ( ~ class_Orderings_Oord(X0)
% 21.66/22.71      | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X2,X3,X0),X0)
% 21.66/22.71      | c_lessequals(X1,X3,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8759_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17343,plain,
% 21.66/22.71      ( ~ class_Orderings_Oord(X0)
% 21.66/22.71      | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X2,X3,X0),X0)
% 21.66/22.71      | c_lessequals(X1,X3,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1550]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17344,plain,
% 21.66/22.71      ( ~ c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,X3),X3)
% 21.66/22.71      | c_lessequals(X0,X2,X3)
% 21.66/22.71      | ~ class_Orderings_Oord(X3) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17343]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1547,plain,
% 21.66/22.71      ( ~ class_Orderings_Oord(X0)
% 21.66/22.71      | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X2,X3,X0),X0)
% 21.66/22.71      | c_lessequals(X2,X1,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8758_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17337,plain,
% 21.66/22.71      ( ~ class_Orderings_Oord(X0)
% 21.66/22.71      | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X2,X3,X0),X0)
% 21.66/22.71      | c_lessequals(X2,X1,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1547]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17338,plain,
% 21.66/22.71      ( ~ c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,X3),X3)
% 21.66/22.71      | c_lessequals(X1,X0,X3)
% 21.66/22.71      | ~ class_Orderings_Oord(X3) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17337]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1544,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 21.66/22.71      | c_lessequals(X2,X3,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8757_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17331,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 21.66/22.71      | c_lessequals(X2,X3,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1544]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17332,plain,
% 21.66/22.71      ( ~ c_lessequals(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 21.66/22.71      | c_lessequals(X1,X3,X2)
% 21.66/22.71      | ~ class_Orderings_Olinorder(X2) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17331]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1541,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 21.66/22.71      | c_lessequals(X1,X3,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8756_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17325,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 21.66/22.71      | c_lessequals(X1,X3,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1541]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17326,plain,
% 21.66/22.71      ( ~ c_lessequals(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 21.66/22.71      | c_lessequals(X0,X3,X2)
% 21.66/22.71      | ~ class_Orderings_Olinorder(X2) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17325]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1538,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 21.66/22.71      | c_lessequals(X1,X3,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8755_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17319,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 21.66/22.71      | c_lessequals(X1,X3,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1538]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17320,plain,
% 21.66/22.71      ( ~ c_lessequals(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 21.66/22.71      | c_lessequals(X0,X2,X3)
% 21.66/22.71      | ~ class_Orderings_Olinorder(X3) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17319]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1535,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 21.66/22.71      | c_lessequals(X1,X2,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8754_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17313,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 21.66/22.71      | c_lessequals(X1,X2,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1535]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17314,plain,
% 21.66/22.71      ( ~ c_lessequals(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 21.66/22.71      | c_lessequals(X0,X1,X3)
% 21.66/22.71      | ~ class_Orderings_Olinorder(X3) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17313]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1532,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 21.66/22.71      | c_less(X1,X3,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8753_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17307,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 21.66/22.71      | c_less(X1,X3,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1532]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17308,plain,
% 21.66/22.71      ( ~ c_less(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 21.66/22.71      | c_less(X0,X2,X3)
% 21.66/22.71      | ~ class_Orderings_Olinorder(X3) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17307]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1529,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 21.66/22.71      | c_less(X1,X2,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8752_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17301,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 21.66/22.71      | c_less(X1,X2,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1529]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17302,plain,
% 21.66/22.71      ( ~ c_less(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 21.66/22.71      | c_less(X0,X1,X3)
% 21.66/22.71      | ~ class_Orderings_Olinorder(X3) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17301]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1526,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 21.66/22.71      | c_less(X2,X3,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8751_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17295,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 21.66/22.71      | c_less(X2,X3,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1526]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17296,plain,
% 21.66/22.71      ( ~ c_less(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 21.66/22.71      | c_less(X1,X3,X2)
% 21.66/22.71      | ~ class_Orderings_Olinorder(X2) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17295]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1523,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 21.66/22.71      | c_less(X1,X3,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8750_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17289,plain,
% 21.66/22.71      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 21.66/22.71      | c_less(X1,X3,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1523]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17290,plain,
% 21.66/22.71      ( ~ c_less(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 21.66/22.71      | c_less(X0,X3,X2)
% 21.66/22.71      | ~ class_Orderings_Olinorder(X2) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17289]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1516,plain,
% 21.66/22.71      ( ~ c_less(c_0,X0,tc_nat)
% 21.66/22.71      | ~ c_less(c_0,X1,tc_nat)
% 21.66/22.71      | c_less(c_0,c_times(X1,X0,tc_nat),tc_nat) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8747_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17275,plain,
% 21.66/22.71      ( ~ c_less(c_0,X0,tc_nat)
% 21.66/22.71      | ~ c_less(c_0,X1,tc_nat)
% 21.66/22.71      | c_less(c_0,c_times(X1,X0,tc_nat),tc_nat) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1516]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17276,plain,
% 21.66/22.71      ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 21.66/22.71      | ~ c_less(c_0,X1,tc_nat)
% 21.66/22.71      | ~ c_less(c_0,X0,tc_nat) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17275]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1513,plain,
% 21.66/22.71      ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 21.66/22.71      | ~ c_in(X3,c_List_Oset(X0,X2),X2)
% 21.66/22.71      | c_in(X3,X1,X2) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8746_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17269,plain,
% 21.66/22.71      ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 21.66/22.71      | ~ c_in(X3,c_List_Oset(X0,X2),X2)
% 21.66/22.71      | c_in(X3,X1,X2) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1513]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17270,plain,
% 21.66/22.71      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 21.66/22.71      | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 21.66/22.71      | c_in(X0,X3,X2) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17269]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1509,plain,
% 21.66/22.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.71      | ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_less(c_plus(X1,X1,X0),c_0,X0)
% 21.66/22.71      | c_less(X1,c_0,X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8745_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17261,plain,
% 21.66/22.71      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.71      | ~ class_Orderings_Olinorder(X0)
% 21.66/22.71      | ~ c_less(c_plus(X1,X1,X0),c_0,X0)
% 21.66/22.71      | c_less(X1,c_0,X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1509]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17262,plain,
% 21.66/22.71      ( ~ c_less(c_plus(X0,X0,X1),c_0,X1)
% 21.66/22.71      | c_less(X0,c_0,X1)
% 21.66/22.71      | ~ class_Orderings_Olinorder(X1)
% 21.66/22.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17261]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1508,plain,
% 21.66/22.71      ( c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 21.66/22.71      | ~ c_less(c_0,X1,tc_nat)
% 21.66/22.71      | ~ c_less(c_0,X0,tc_nat) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8744_2) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17259,plain,
% 21.66/22.71      ( c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 21.66/22.71      | ~ c_less(c_0,X1,tc_nat)
% 21.66/22.71      | ~ c_less(c_0,X0,tc_nat) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1508]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17260,plain,
% 21.66/22.71      ( ~ c_less(c_0,X0,tc_nat)
% 21.66/22.71      | ~ c_less(c_0,X1,tc_nat)
% 21.66/22.71      | c_less(c_minus(X1,X0,tc_nat),X1,tc_nat) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17259]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1496,plain,
% 21.66/22.71      ( c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 21.66/22.71      | ~ c_lessequals(c_1,X0,tc_nat)
% 21.66/22.71      | ~ c_lessequals(c_1,X1,tc_nat) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8739_2) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17235,plain,
% 21.66/22.71      ( c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 21.66/22.71      | ~ c_lessequals(c_1,X0,tc_nat)
% 21.66/22.71      | ~ c_lessequals(c_1,X1,tc_nat) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1496]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17236,plain,
% 21.66/22.71      ( ~ c_lessequals(c_1,X0,tc_nat)
% 21.66/22.71      | ~ c_lessequals(c_1,X1,tc_nat)
% 21.66/22.71      | c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17235]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1481,plain,
% 21.66/22.71      ( X0 = X1
% 21.66/22.71      | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 21.66/22.71      | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 21.66/22.71      | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8732_3) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17205,plain,
% 21.66/22.71      ( X0 = X1
% 21.66/22.71      | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 21.66/22.71      | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 21.66/22.71      | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1481]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17206,plain,
% 21.66/22.71      ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 21.66/22.71      | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 21.66/22.71      | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 21.66/22.71      | X0 = X1 ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17205]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1470,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.71      | ~ c_less(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 21.66/22.71      | c_less(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8729_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17183,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.71      | ~ c_less(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 21.66/22.71      | c_less(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1470]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17184,plain,
% 21.66/22.71      ( ~ c_less(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 21.66/22.71      | c_less(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.71      | ~ class_Numeral_Onumber(X1)
% 21.66/22.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17183]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1466,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.71      | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 21.66/22.71      | c_lessequals(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8728_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17175,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.71      | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 21.66/22.71      | c_lessequals(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1466]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17176,plain,
% 21.66/22.71      ( ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 21.66/22.71      | c_lessequals(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.71      | ~ class_Numeral_Onumber(X1)
% 21.66/22.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 21.66/22.71      inference(rewriting,[status(thm)],[c_17175]) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_1462,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.71      | ~ c_less(X1,c_uminus(c_Numeral_Onumber__of(X2,X0),X0),X0)
% 21.66/22.71      | c_less(c_Numeral_Onumber__of(X2,X0),c_uminus(X1,X0),X0) ),
% 21.66/22.71      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8727_0) ).
% 21.66/22.71  
% 21.66/22.71  cnf(c_17167,plain,
% 21.66/22.71      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.71      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.71      | ~ c_less(X1,c_uminus(c_Numeral_Onumber__of(X2,X0),X0),X0)
% 21.66/22.71      | c_less(c_Numeral_Onumber__of(X2,X0),c_uminus(X1,X0),X0) ),
% 21.66/22.71      inference(copy,[status(esa)],[c_1462]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_17168,plain,
% 21.66/22.72      ( c_less(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 21.66/22.72      | ~ c_less(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.66/22.72      | ~ class_Numeral_Onumber(X1)
% 21.66/22.72      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_17167]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1458,plain,
% 21.66/22.72      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.72      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.72      | ~ c_lessequals(X1,c_uminus(c_Numeral_Onumber__of(X2,X0),X0),X0)
% 21.66/22.72      | c_lessequals(c_Numeral_Onumber__of(X2,X0),c_uminus(X1,X0),X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8726_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_17159,plain,
% 21.66/22.72      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.72      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.66/22.72      | ~ c_lessequals(X1,c_uminus(c_Numeral_Onumber__of(X2,X0),X0),X0)
% 21.66/22.72      | c_lessequals(c_Numeral_Onumber__of(X2,X0),c_uminus(X1,X0),X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1458]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_17160,plain,
% 21.66/22.72      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 21.66/22.72      | ~ c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.66/22.72      | ~ class_Numeral_Onumber(X1)
% 21.66/22.72      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_17159]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1433,plain,
% 21.66/22.72      ( ~ c_in(X0,X1,X2) | ~ c_in(X0,X3,X2) | c_in(X0,c_inter(X3,X1,X2),X2) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8715_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_17109,plain,
% 21.66/22.72      ( ~ c_in(X0,X1,X2) | ~ c_in(X0,X3,X2) | c_in(X0,c_inter(X3,X1,X2),X2) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1433]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_17110,plain,
% 21.66/22.72      ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) | ~ c_in(X0,X1,X3) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_17109]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1432,plain,
% 21.66/22.72      ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 21.66/22.72      | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset
% 21.66/22.72      | ~ c_List_Odistinct(X0,X2)
% 21.66/22.72      | ~ c_List_Odistinct(X1,X2) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8714_3) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_17107,plain,
% 21.66/22.72      ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 21.66/22.72      | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset
% 21.66/22.72      | ~ c_List_Odistinct(X0,X2)
% 21.66/22.72      | ~ c_List_Odistinct(X1,X2) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1432]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_17108,plain,
% 21.66/22.72      ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 21.66/22.72      | ~ c_List_Odistinct(X0,X2)
% 21.66/22.72      | ~ c_List_Odistinct(X1,X2)
% 21.66/22.72      | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_17107]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1429,plain,
% 21.66/22.72      ( ~ c_List_Odistinct(X0,X1)
% 21.66/22.72      | ~ c_List_Odistinct(X2,X1)
% 21.66/22.72      | c_inter(c_List_Oset(X2,X1),c_List_Oset(X0,X1),X1) != c_emptyset
% 21.66/22.72      | c_List_Odistinct(c_append(X2,X0,X1),X1) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8714_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_17101,plain,
% 21.66/22.72      ( ~ c_List_Odistinct(X0,X1)
% 21.66/22.72      | ~ c_List_Odistinct(X2,X1)
% 21.66/22.72      | c_inter(c_List_Oset(X2,X1),c_List_Oset(X0,X1),X1) != c_emptyset
% 21.66/22.72      | c_List_Odistinct(c_append(X2,X0,X1),X1) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1429]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_17102,plain,
% 21.66/22.72      ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 21.66/22.72      | ~ c_List_Odistinct(X1,X2)
% 21.66/22.72      | ~ c_List_Odistinct(X0,X2)
% 21.66/22.72      | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_17101]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1421,plain,
% 21.66/22.72      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_less(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.72      | 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) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8711_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_17085,plain,
% 21.66/22.72      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_less(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.72      | 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) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1421]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_17086,plain,
% 21.66/22.72      ( ~ c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.72      | 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)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.66/22.72      | ~ class_Numeral_Onumber__ring(X1) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_17085]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1417,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.66/22.72      | ~ c_in(X1,c_IntDef_ONats,X0)
% 21.66/22.72      | ~ c_in(X2,c_IntDef_ONats,X0)
% 21.66/22.72      | c_in(c_times(X2,X1,X0),c_IntDef_ONats,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8710_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_17077,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.66/22.72      | ~ c_in(X1,c_IntDef_ONats,X0)
% 21.66/22.72      | ~ c_in(X2,c_IntDef_ONats,X0)
% 21.66/22.72      | c_in(c_times(X2,X1,X0),c_IntDef_ONats,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1417]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_17078,plain,
% 21.66/22.72      ( c_in(c_times(X0,X1,X2),c_IntDef_ONats,X2)
% 21.66/22.72      | ~ c_in(X1,c_IntDef_ONats,X2)
% 21.66/22.72      | ~ c_in(X0,c_IntDef_ONats,X2)
% 21.66/22.72      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_17077]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1413,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.66/22.72      | ~ c_in(X1,c_IntDef_ONats,X0)
% 21.66/22.72      | ~ c_in(X2,c_IntDef_ONats,X0)
% 21.66/22.72      | c_in(c_plus(X2,X1,X0),c_IntDef_ONats,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8709_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_17069,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.66/22.72      | ~ c_in(X1,c_IntDef_ONats,X0)
% 21.66/22.72      | ~ c_in(X2,c_IntDef_ONats,X0)
% 21.66/22.72      | c_in(c_plus(X2,X1,X0),c_IntDef_ONats,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1413]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_17070,plain,
% 21.66/22.72      ( c_in(c_plus(X0,X1,X2),c_IntDef_ONats,X2)
% 21.66/22.72      | ~ c_in(X1,c_IntDef_ONats,X2)
% 21.66/22.72      | ~ c_in(X0,c_IntDef_ONats,X2)
% 21.66/22.72      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_17069]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1409,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.66/22.72      | ~ c_in(X1,c_IntDef_OInts,X0)
% 21.66/22.72      | ~ c_in(X2,c_IntDef_OInts,X0)
% 21.66/22.72      | c_in(c_times(X2,X1,X0),c_IntDef_OInts,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8708_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_17061,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.66/22.72      | ~ c_in(X1,c_IntDef_OInts,X0)
% 21.66/22.72      | ~ c_in(X2,c_IntDef_OInts,X0)
% 21.66/22.72      | c_in(c_times(X2,X1,X0),c_IntDef_OInts,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1409]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_17062,plain,
% 21.66/22.72      ( c_in(c_times(X0,X1,X2),c_IntDef_OInts,X2)
% 21.66/22.72      | ~ c_in(X1,c_IntDef_OInts,X2)
% 21.66/22.72      | ~ c_in(X0,c_IntDef_OInts,X2)
% 21.66/22.72      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_17061]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1405,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.66/22.72      | ~ c_in(X1,c_IntDef_OInts,X0)
% 21.66/22.72      | ~ c_in(X2,c_IntDef_OInts,X0)
% 21.66/22.72      | c_in(c_minus(X2,X1,X0),c_IntDef_OInts,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8707_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_17053,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.66/22.72      | ~ c_in(X1,c_IntDef_OInts,X0)
% 21.66/22.72      | ~ c_in(X2,c_IntDef_OInts,X0)
% 21.66/22.72      | c_in(c_minus(X2,X1,X0),c_IntDef_OInts,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1405]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_17054,plain,
% 21.66/22.72      ( c_in(c_minus(X0,X1,X2),c_IntDef_OInts,X2)
% 21.66/22.72      | ~ c_in(X1,c_IntDef_OInts,X2)
% 21.66/22.72      | ~ c_in(X0,c_IntDef_OInts,X2)
% 21.66/22.72      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_17053]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1401,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.66/22.72      | ~ c_in(X1,c_IntDef_OInts,X0)
% 21.66/22.72      | ~ c_in(X2,c_IntDef_OInts,X0)
% 21.66/22.72      | c_in(c_plus(X2,X1,X0),c_IntDef_OInts,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8706_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_17045,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.66/22.72      | ~ c_in(X1,c_IntDef_OInts,X0)
% 21.66/22.72      | ~ c_in(X2,c_IntDef_OInts,X0)
% 21.66/22.72      | c_in(c_plus(X2,X1,X0),c_IntDef_OInts,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1401]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_17046,plain,
% 21.66/22.72      ( c_in(c_plus(X0,X1,X2),c_IntDef_OInts,X2)
% 21.66/22.72      | ~ c_in(X1,c_IntDef_OInts,X2)
% 21.66/22.72      | ~ c_in(X0,c_IntDef_OInts,X2)
% 21.66/22.72      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_17045]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1381,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X0),X1,X0),X0)
% 21.66/22.72      | X1 = c_0 ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8700_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_17005,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X0),X1,X0),X0)
% 21.66/22.72      | X1 = c_0 ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1381]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_17006,plain,
% 21.66/22.72      ( ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X0),X1,X0),X0)
% 21.66/22.72      | ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | X1 = c_0 ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_17005]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1376,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_less(c_0,X1,X0)
% 21.66/22.72      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 21.66/22.72      | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8699_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16995,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_less(c_0,X1,X0)
% 21.66/22.72      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 21.66/22.72      | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1376]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16996,plain,
% 21.66/22.72      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 21.66/22.72      | ~ c_less(c_0,X0,X2)
% 21.66/22.72      | ~ class_Power_Orecpower(X2)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 21.66/22.72      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16995]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1371,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_lessequals(c_0,X1,X0)
% 21.66/22.72      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 21.66/22.72      | c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8698_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16985,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_lessequals(c_0,X1,X0)
% 21.66/22.72      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 21.66/22.72      | c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1371]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16986,plain,
% 21.66/22.72      ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 21.66/22.72      | ~ c_lessequals(c_0,X0,X2)
% 21.66/22.72      | ~ class_Power_Orecpower(X2)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 21.66/22.72      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16985]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1366,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_less(X1,c_0,X0)
% 21.66/22.72      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 21.66/22.72      | c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8697_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16975,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_less(X1,c_0,X0)
% 21.66/22.72      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 21.66/22.72      | c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1366]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16976,plain,
% 21.66/22.72      ( c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 21.66/22.72      | ~ c_less(X0,c_0,X2)
% 21.66/22.72      | ~ class_Power_Orecpower(X2)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 21.66/22.72      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16975]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1352,plain,
% 21.66/22.72      ( ~ class_Orderings_Oord(X0)
% 21.66/22.72      | ~ c_less(X1,X2,X0)
% 21.66/22.72      | ~ c_less(X3,X1,X0)
% 21.66/22.72      | c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8691_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16947,plain,
% 21.66/22.72      ( ~ class_Orderings_Oord(X0)
% 21.66/22.72      | ~ c_less(X1,X2,X0)
% 21.66/22.72      | ~ c_less(X3,X1,X0)
% 21.66/22.72      | c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1352]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16948,plain,
% 21.66/22.72      ( c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,X3),X3)
% 21.66/22.72      | ~ c_less(X0,X2,X3)
% 21.66/22.72      | ~ c_less(X1,X0,X3)
% 21.66/22.72      | ~ class_Orderings_Oord(X3) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16947]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1340,plain,
% 21.66/22.72      ( ~ class_Orderings_Oord(X0)
% 21.66/22.72      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.72      | ~ c_lessequals(X3,X1,X0)
% 21.66/22.72      | c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8688_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16923,plain,
% 21.66/22.72      ( ~ class_Orderings_Oord(X0)
% 21.66/22.72      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.72      | ~ c_lessequals(X3,X1,X0)
% 21.66/22.72      | c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1340]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16924,plain,
% 21.66/22.72      ( c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,X3),X3)
% 21.66/22.72      | ~ c_lessequals(X0,X2,X3)
% 21.66/22.72      | ~ c_lessequals(X1,X0,X3)
% 21.66/22.72      | ~ class_Orderings_Oord(X3) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16923]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1336,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.72      | ~ c_lessequals(X3,X2,X0)
% 21.66/22.72      | c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8687_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16915,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.72      | ~ c_lessequals(X3,X2,X0)
% 21.66/22.72      | c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1336]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16916,plain,
% 21.66/22.72      ( c_lessequals(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 21.66/22.72      | ~ c_lessequals(X1,X3,X2)
% 21.66/22.72      | ~ c_lessequals(X0,X3,X2)
% 21.66/22.72      | ~ class_Orderings_Olinorder(X2) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16915]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1332,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.72      | ~ c_lessequals(X1,X3,X0)
% 21.66/22.72      | c_lessequals(X1,c_Orderings_Omin(X3,X2,X0),X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8686_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16907,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.72      | ~ c_lessequals(X1,X3,X0)
% 21.66/22.72      | c_lessequals(X1,c_Orderings_Omin(X3,X2,X0),X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1332]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16908,plain,
% 21.66/22.72      ( c_lessequals(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 21.66/22.72      | ~ c_lessequals(X0,X2,X3)
% 21.66/22.72      | ~ c_lessequals(X0,X1,X3)
% 21.66/22.72      | ~ class_Orderings_Olinorder(X3) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16907]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1328,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_less(X1,X2,X0)
% 21.66/22.72      | ~ c_less(X1,X3,X0)
% 21.66/22.72      | c_less(X1,c_Orderings_Omin(X3,X2,X0),X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8685_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16899,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_less(X1,X2,X0)
% 21.66/22.72      | ~ c_less(X1,X3,X0)
% 21.66/22.72      | c_less(X1,c_Orderings_Omin(X3,X2,X0),X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1328]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16900,plain,
% 21.66/22.72      ( c_less(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 21.66/22.72      | ~ c_less(X0,X2,X3)
% 21.66/22.72      | ~ c_less(X0,X1,X3)
% 21.66/22.72      | ~ class_Orderings_Olinorder(X3) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16899]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1324,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_less(X1,X2,X0)
% 21.66/22.72      | ~ c_less(X3,X2,X0)
% 21.66/22.72      | c_less(c_Orderings_Omax(X3,X1,X0),X2,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8684_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16891,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_less(X1,X2,X0)
% 21.66/22.72      | ~ c_less(X3,X2,X0)
% 21.66/22.72      | c_less(c_Orderings_Omax(X3,X1,X0),X2,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1324]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16892,plain,
% 21.66/22.72      ( c_less(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 21.66/22.72      | ~ c_less(X1,X3,X2)
% 21.66/22.72      | ~ c_less(X0,X3,X2)
% 21.66/22.72      | ~ class_Orderings_Olinorder(X2) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16891]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1319,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(X1,X2,X0)
% 21.66/22.72      | ~ c_less(c_0,X1,X0)
% 21.66/22.72      | c_less(c_1,c_divide(X2,X1,X0),X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8683_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16881,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(X1,X2,X0)
% 21.66/22.72      | ~ c_less(c_0,X1,X0)
% 21.66/22.72      | c_less(c_1,c_divide(X2,X1,X0),X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1319]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16882,plain,
% 21.66/22.72      ( ~ c_less(c_0,X0,X1)
% 21.66/22.72      | c_less(c_1,c_divide(X2,X0,X1),X1)
% 21.66/22.72      | ~ c_less(X0,X2,X1)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.72      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16881]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1299,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(X1,X2,X0)
% 21.66/22.72      | ~ c_less(c_0,X2,X0)
% 21.66/22.72      | c_less(c_divide(X1,X2,X0),c_1,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8679_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16841,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(X1,X2,X0)
% 21.66/22.72      | ~ c_less(c_0,X2,X0)
% 21.66/22.72      | c_less(c_divide(X1,X2,X0),c_1,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1299]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16842,plain,
% 21.66/22.72      ( ~ c_less(c_0,X0,X1)
% 21.66/22.72      | c_less(c_divide(X2,X0,X1),c_1,X1)
% 21.66/22.72      | ~ c_less(X2,X0,X1)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.72      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16841]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1271,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.72      | c_in(c_Main_OMin__gr__iff__1(X1,X2,X0),X1,X0)
% 21.66/22.72      | c_less(X2,c_Finite__Set_OMin(X1,X0),X0)
% 21.66/22.72      | X1 = c_emptyset ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8671_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16785,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.72      | c_in(c_Main_OMin__gr__iff__1(X1,X2,X0),X1,X0)
% 21.66/22.72      | c_less(X2,c_Finite__Set_OMin(X1,X0),X0)
% 21.66/22.72      | X1 = c_emptyset ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1271]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16786,plain,
% 21.66/22.72      ( c_in(c_Main_OMin__gr__iff__1(X0,X1,X2),X0,X2)
% 21.66/22.72      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 21.66/22.72      | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 21.66/22.72      | ~ class_Orderings_Olinorder(X2)
% 21.66/22.72      | X0 = c_emptyset ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16785]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1266,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.72      | c_in(c_Main_OMin__ge__iff__1(X1,X2,X0),X1,X0)
% 21.66/22.72      | c_lessequals(X2,c_Finite__Set_OMin(X1,X0),X0)
% 21.66/22.72      | X1 = c_emptyset ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8670_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16775,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.72      | c_in(c_Main_OMin__ge__iff__1(X1,X2,X0),X1,X0)
% 21.66/22.72      | c_lessequals(X2,c_Finite__Set_OMin(X1,X0),X0)
% 21.66/22.72      | X1 = c_emptyset ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1266]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16776,plain,
% 21.66/22.72      ( c_in(c_Main_OMin__ge__iff__1(X0,X1,X2),X0,X2)
% 21.66/22.72      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 21.66/22.72      | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 21.66/22.72      | ~ class_Orderings_Olinorder(X2)
% 21.66/22.72      | X0 = c_emptyset ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16775]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1261,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.72      | c_in(c_Main_OMax__less__iff__1(X1,X2,X0),X1,X0)
% 21.66/22.72      | c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 21.66/22.72      | X1 = c_emptyset ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8669_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16765,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.72      | c_in(c_Main_OMax__less__iff__1(X1,X2,X0),X1,X0)
% 21.66/22.72      | c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 21.66/22.72      | X1 = c_emptyset ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1261]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16766,plain,
% 21.66/22.72      ( c_in(c_Main_OMax__less__iff__1(X0,X1,X2),X0,X2)
% 21.66/22.72      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 21.66/22.72      | c_less(c_Finite__Set_OMax(X0,X2),X1,X2)
% 21.66/22.72      | ~ class_Orderings_Olinorder(X2)
% 21.66/22.72      | X0 = c_emptyset ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16765]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1256,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.72      | c_in(c_Main_OMax__le__iff__1(X1,X2,X0),X1,X0)
% 21.66/22.72      | c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 21.66/22.72      | X1 = c_emptyset ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8668_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16755,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.72      | c_in(c_Main_OMax__le__iff__1(X1,X2,X0),X1,X0)
% 21.66/22.72      | c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 21.66/22.72      | X1 = c_emptyset ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1256]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16756,plain,
% 21.66/22.72      ( c_in(c_Main_OMax__le__iff__1(X0,X1,X2),X0,X2)
% 21.66/22.72      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 21.66/22.72      | c_lessequals(c_Finite__Set_OMax(X0,X2),X1,X2)
% 21.66/22.72      | ~ class_Orderings_Olinorder(X2)
% 21.66/22.72      | X0 = c_emptyset ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16755]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1238,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_lessequals(X1,c_0,X0)
% 21.66/22.72      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 21.66/22.72      | c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 21.66/22.72      | c_Numeral_Onumber__of(X2,tc_nat) = c_0 ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8663_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16719,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_lessequals(X1,c_0,X0)
% 21.66/22.72      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 21.66/22.72      | c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 21.66/22.72      | c_Numeral_Onumber__of(X2,tc_nat) = c_0 ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1238]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16720,plain,
% 21.66/22.72      ( c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 21.66/22.72      | ~ c_lessequals(X0,c_0,X2)
% 21.66/22.72      | ~ class_Power_Orecpower(X2)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 21.66/22.72      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.66/22.72      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16719]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1235,plain,
% 21.66/22.72      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.66/22.72      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1))
% 21.66/22.72      | c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8662_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16713,plain,
% 21.66/22.72      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.66/22.72      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1))
% 21.66/22.72      | c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1235]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16714,plain,
% 21.66/22.72      ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 21.66/22.72      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 21.66/22.72      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16713]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1231,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 21.66/22.72      | c_Numeral_Onumber__of(X2,tc_nat) != c_0 ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8661_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16705,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 21.66/22.72      | c_Numeral_Onumber__of(X2,tc_nat) != c_0 ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1231]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16706,plain,
% 21.66/22.72      ( ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 21.66/22.72      | ~ class_Power_Orecpower(X2)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 21.66/22.72      | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16705]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1226,plain,
% 21.66/22.72      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 21.66/22.72      | ~ c_lessequals(X3,X1,tc_set(X2))
% 21.66/22.72      | c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2)) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8659_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16695,plain,
% 21.66/22.72      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 21.66/22.72      | ~ c_lessequals(X3,X1,tc_set(X2))
% 21.66/22.72      | c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2)) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1226]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16696,plain,
% 21.66/22.72      ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 21.66/22.72      | ~ c_lessequals(X1,X3,tc_set(X2))
% 21.66/22.72      | ~ c_lessequals(X0,X3,tc_set(X2)) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16695]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1223,plain,
% 21.66/22.72      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 21.66/22.72      | ~ c_lessequals(X0,X3,tc_set(X2))
% 21.66/22.72      | c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2)) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8658_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16689,plain,
% 21.66/22.72      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 21.66/22.72      | ~ c_lessequals(X0,X3,tc_set(X2))
% 21.66/22.72      | c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2)) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1223]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16690,plain,
% 21.66/22.72      ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 21.66/22.72      | ~ c_lessequals(X0,X2,tc_set(X3))
% 21.66/22.72      | ~ c_lessequals(X0,X1,tc_set(X3)) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16689]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1190,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(X1,X2,X0)
% 21.66/22.72      | ~ c_less(X1,c_0,X0)
% 21.66/22.72      | ~ c_less(X2,c_0,X0)
% 21.66/22.72      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8647_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16623,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(X1,X2,X0)
% 21.66/22.72      | ~ c_less(X1,c_0,X0)
% 21.66/22.72      | ~ c_less(X2,c_0,X0)
% 21.66/22.72      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1190]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16624,plain,
% 21.66/22.72      ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 21.66/22.72      | ~ c_less(X2,c_0,X1)
% 21.66/22.72      | ~ c_less(X0,c_0,X1)
% 21.66/22.72      | ~ c_less(X2,X0,X1)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16623]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1187,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(X1,X2,X0)
% 21.66/22.72      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 21.66/22.72      | ~ c_less(c_0,X2,X0)
% 21.66/22.72      | ~ c_less(c_0,X1,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8646_2) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16617,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(X1,X2,X0)
% 21.66/22.72      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 21.66/22.72      | ~ c_less(c_0,X2,X0)
% 21.66/22.72      | ~ c_less(c_0,X1,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1187]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16618,plain,
% 21.66/22.72      ( ~ c_less(c_0,X0,X1)
% 21.66/22.72      | ~ c_less(c_0,X2,X1)
% 21.66/22.72      | c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 21.66/22.72      | ~ c_less(X2,X0,X1)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16617]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1185,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(X1,X2,X0)
% 21.66/22.72      | ~ c_less(c_0,X1,X0)
% 21.66/22.72      | ~ c_less(c_0,X2,X0)
% 21.66/22.72      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8646_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16613,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(X1,X2,X0)
% 21.66/22.72      | ~ c_less(c_0,X1,X0)
% 21.66/22.72      | ~ c_less(c_0,X2,X0)
% 21.66/22.72      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1185]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16614,plain,
% 21.66/22.72      ( ~ c_less(c_0,X0,X1)
% 21.66/22.72      | ~ c_less(c_0,X2,X1)
% 21.66/22.72      | c_less(c_HOL_Oinverse(X2,X1),c_HOL_Oinverse(X0,X1),X1)
% 21.66/22.72      | ~ c_less(X0,X2,X1)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16613]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1180,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(X1,c_0,X0)
% 21.66/22.72      | ~ c_less(X2,c_0,X0)
% 21.66/22.72      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.72      | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8645_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16603,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(X1,c_0,X0)
% 21.66/22.72      | ~ c_less(X2,c_0,X0)
% 21.66/22.72      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.72      | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1180]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16604,plain,
% 21.66/22.72      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 21.66/22.72      | ~ c_lessequals(X2,X0,X1)
% 21.66/22.72      | ~ c_less(X2,c_0,X1)
% 21.66/22.72      | ~ c_less(X0,c_0,X1)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16603]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1175,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(c_0,X1,X0)
% 21.66/22.72      | ~ c_less(c_0,X2,X0)
% 21.66/22.72      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.72      | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8644_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16593,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(c_0,X1,X0)
% 21.66/22.72      | ~ c_less(c_0,X2,X0)
% 21.66/22.72      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.72      | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1175]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16594,plain,
% 21.66/22.72      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 21.66/22.72      | ~ c_lessequals(X2,X0,X1)
% 21.66/22.72      | ~ c_less(c_0,X2,X1)
% 21.66/22.72      | ~ c_less(c_0,X0,X1)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16593]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1170,plain,
% 21.66/22.72      ( 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)
% 21.66/22.72      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.72      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8642_2) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16583,plain,
% 21.66/22.72      ( 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)
% 21.66/22.72      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.72      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1170]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16584,plain,
% 21.66/22.72      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.72      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.66/22.72      | 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) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16583]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1162,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_in(X1,X2,X0)
% 21.66/22.72      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.72      | ~ c_less(X3,c_Finite__Set_OMin(X2,X0),X0)
% 21.66/22.72      | c_less(X3,X1,X0)
% 21.66/22.72      | X2 = c_emptyset ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8641_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16567,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_in(X1,X2,X0)
% 21.66/22.72      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.72      | ~ c_less(X3,c_Finite__Set_OMin(X2,X0),X0)
% 21.66/22.72      | c_less(X3,X1,X0)
% 21.66/22.72      | X2 = c_emptyset ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1162]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16568,plain,
% 21.66/22.72      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.66/22.72      | ~ c_in(X2,X0,X1)
% 21.66/22.72      | ~ c_less(X3,c_Finite__Set_OMin(X0,X1),X1)
% 21.66/22.72      | c_less(X3,X2,X1)
% 21.66/22.72      | ~ class_Orderings_Olinorder(X1)
% 21.66/22.72      | X0 = c_emptyset ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16567]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1156,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_in(X1,X2,X0)
% 21.66/22.72      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.72      | ~ c_lessequals(X3,c_Finite__Set_OMin(X2,X0),X0)
% 21.66/22.72      | c_lessequals(X3,X1,X0)
% 21.66/22.72      | X2 = c_emptyset ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8640_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16555,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_in(X1,X2,X0)
% 21.66/22.72      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.72      | ~ c_lessequals(X3,c_Finite__Set_OMin(X2,X0),X0)
% 21.66/22.72      | c_lessequals(X3,X1,X0)
% 21.66/22.72      | X2 = c_emptyset ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1156]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16556,plain,
% 21.66/22.72      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.66/22.72      | ~ c_in(X2,X0,X1)
% 21.66/22.72      | ~ c_lessequals(X3,c_Finite__Set_OMin(X0,X1),X1)
% 21.66/22.72      | c_lessequals(X3,X2,X1)
% 21.66/22.72      | ~ class_Orderings_Olinorder(X1)
% 21.66/22.72      | X0 = c_emptyset ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16555]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1150,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_in(X1,X2,X0)
% 21.66/22.72      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.72      | ~ c_less(c_Finite__Set_OMax(X2,X0),X3,X0)
% 21.66/22.72      | c_less(X1,X3,X0)
% 21.66/22.72      | X2 = c_emptyset ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8639_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16543,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_in(X1,X2,X0)
% 21.66/22.72      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.72      | ~ c_less(c_Finite__Set_OMax(X2,X0),X3,X0)
% 21.66/22.72      | c_less(X1,X3,X0)
% 21.66/22.72      | X2 = c_emptyset ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1150]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16544,plain,
% 21.66/22.72      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.66/22.72      | ~ c_in(X2,X0,X1)
% 21.66/22.72      | ~ c_less(c_Finite__Set_OMax(X0,X1),X3,X1)
% 21.66/22.72      | c_less(X2,X3,X1)
% 21.66/22.72      | ~ class_Orderings_Olinorder(X1)
% 21.66/22.72      | X0 = c_emptyset ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16543]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1144,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_in(X1,X2,X0)
% 21.66/22.72      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.72      | ~ c_lessequals(c_Finite__Set_OMax(X2,X0),X3,X0)
% 21.66/22.72      | c_lessequals(X1,X3,X0)
% 21.66/22.72      | X2 = c_emptyset ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8638_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16531,plain,
% 21.66/22.72      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.72      | ~ c_in(X1,X2,X0)
% 21.66/22.72      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.72      | ~ c_lessequals(c_Finite__Set_OMax(X2,X0),X3,X0)
% 21.66/22.72      | c_lessequals(X1,X3,X0)
% 21.66/22.72      | X2 = c_emptyset ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1144]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16532,plain,
% 21.66/22.72      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.66/22.72      | ~ c_in(X2,X0,X1)
% 21.66/22.72      | ~ c_lessequals(c_Finite__Set_OMax(X0,X1),X3,X1)
% 21.66/22.72      | c_lessequals(X2,X3,X1)
% 21.66/22.72      | ~ class_Orderings_Olinorder(X1)
% 21.66/22.72      | X0 = c_emptyset ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16531]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1129,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 21.66/22.72      | c_less(X1,c_0,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8632_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16501,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 21.66/22.72      | c_less(X1,c_0,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1129]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16502,plain,
% 21.66/22.72      ( ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 21.66/22.72      | c_less(X0,c_0,X2)
% 21.66/22.72      | ~ class_Power_Orecpower(X2)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16501]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1116,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 21.66/22.72      | c_lessequals(X1,c_0,X0)
% 21.66/22.72      | X1 = c_0 ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8627_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16475,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 21.66/22.72      | c_lessequals(X1,c_0,X0)
% 21.66/22.72      | X1 = c_0 ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1116]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16476,plain,
% 21.66/22.72      ( ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 21.66/22.72      | c_lessequals(X0,c_0,X2)
% 21.66/22.72      | ~ class_Power_Orecpower(X2)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 21.66/22.72      | X0 = c_0 ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16475]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1110,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.66/22.72      | ~ c_less(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8625_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16463,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.66/22.72      | ~ c_less(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1110]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16464,plain,
% 21.66/22.72      ( ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 21.66/22.72      | ~ class_Power_Orecpower(X2)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 21.66/22.72      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16463]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1101,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.66/22.72      | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 21.66/22.72      | X2 = c_0 ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8622_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16445,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.66/22.72      | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 21.66/22.72      | X2 = c_0 ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1101]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16446,plain,
% 21.66/22.72      ( ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 21.66/22.72      | ~ class_Power_Orecpower(X2)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 21.66/22.72      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.66/22.72      | X0 = c_0 ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16445]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1093,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | c_less(X1,X2,X0)
% 21.66/22.72      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 21.66/22.72      | ~ c_less(X2,c_0,X0)
% 21.66/22.72      | ~ c_less(X1,c_0,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8618_3) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16429,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | c_less(X1,X2,X0)
% 21.66/22.72      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 21.66/22.72      | ~ c_less(X2,c_0,X0)
% 21.66/22.72      | ~ c_less(X1,c_0,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1093]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16430,plain,
% 21.66/22.72      ( ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 21.66/22.72      | ~ c_less(X0,c_0,X1)
% 21.66/22.72      | ~ c_less(X2,c_0,X1)
% 21.66/22.72      | c_less(X2,X0,X1)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16429]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1090,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(X1,c_0,X0)
% 21.66/22.72      | ~ c_less(X2,c_0,X0)
% 21.66/22.72      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 21.66/22.72      | c_less(X1,X2,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8618_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16423,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(X1,c_0,X0)
% 21.66/22.72      | ~ c_less(X2,c_0,X0)
% 21.66/22.72      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 21.66/22.72      | c_less(X1,X2,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1090]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16424,plain,
% 21.66/22.72      ( ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 21.66/22.72      | ~ c_less(X2,c_0,X1)
% 21.66/22.72      | ~ c_less(X0,c_0,X1)
% 21.66/22.72      | c_less(X2,X0,X1)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16423]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1088,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | c_less(X1,X2,X0)
% 21.66/22.72      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 21.66/22.72      | ~ c_less(c_0,X2,X0)
% 21.66/22.72      | ~ c_less(c_0,X1,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8617_3) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16419,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | c_less(X1,X2,X0)
% 21.66/22.72      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 21.66/22.72      | ~ c_less(c_0,X2,X0)
% 21.66/22.72      | ~ c_less(c_0,X1,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1088]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16420,plain,
% 21.66/22.72      ( ~ c_less(c_0,X0,X1)
% 21.66/22.72      | ~ c_less(c_0,X2,X1)
% 21.66/22.72      | ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 21.66/22.72      | c_less(X2,X0,X1)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16419]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1085,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(c_0,X1,X0)
% 21.66/22.72      | ~ c_less(c_0,X2,X0)
% 21.66/22.72      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 21.66/22.72      | c_less(X1,X2,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8617_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16413,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(c_0,X1,X0)
% 21.66/22.72      | ~ c_less(c_0,X2,X0)
% 21.66/22.72      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 21.66/22.72      | c_less(X1,X2,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1085]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16414,plain,
% 21.66/22.72      ( ~ c_less(c_0,X0,X1)
% 21.66/22.72      | ~ c_less(c_0,X2,X1)
% 21.66/22.72      | ~ c_less(c_HOL_Oinverse(X2,X1),c_HOL_Oinverse(X0,X1),X1)
% 21.66/22.72      | c_less(X0,X2,X1)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16413]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1083,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | c_lessequals(X1,X2,X0)
% 21.66/22.72      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 21.66/22.72      | ~ c_less(X2,c_0,X0)
% 21.66/22.72      | ~ c_less(X1,c_0,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8616_3) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16409,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | c_lessequals(X1,X2,X0)
% 21.66/22.72      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 21.66/22.72      | ~ c_less(X2,c_0,X0)
% 21.66/22.72      | ~ c_less(X1,c_0,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1083]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16410,plain,
% 21.66/22.72      ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 21.66/22.72      | c_lessequals(X2,X0,X1)
% 21.66/22.72      | ~ c_less(X0,c_0,X1)
% 21.66/22.72      | ~ c_less(X2,c_0,X1)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16409]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1080,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(X1,c_0,X0)
% 21.66/22.72      | ~ c_less(X2,c_0,X0)
% 21.66/22.72      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 21.66/22.72      | c_lessequals(X1,X2,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8616_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16403,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(X1,c_0,X0)
% 21.66/22.72      | ~ c_less(X2,c_0,X0)
% 21.66/22.72      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 21.66/22.72      | c_lessequals(X1,X2,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1080]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16404,plain,
% 21.66/22.72      ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 21.66/22.72      | c_lessequals(X2,X0,X1)
% 21.66/22.72      | ~ c_less(X2,c_0,X1)
% 21.66/22.72      | ~ c_less(X0,c_0,X1)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16403]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1078,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | c_lessequals(X1,X2,X0)
% 21.66/22.72      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 21.66/22.72      | ~ c_less(c_0,X2,X0)
% 21.66/22.72      | ~ c_less(c_0,X1,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8615_3) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16399,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | c_lessequals(X1,X2,X0)
% 21.66/22.72      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 21.66/22.72      | ~ c_less(c_0,X2,X0)
% 21.66/22.72      | ~ c_less(c_0,X1,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1078]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16400,plain,
% 21.66/22.72      ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 21.66/22.72      | c_lessequals(X2,X0,X1)
% 21.66/22.72      | ~ c_less(c_0,X0,X1)
% 21.66/22.72      | ~ c_less(c_0,X2,X1)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16399]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1075,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(c_0,X1,X0)
% 21.66/22.72      | ~ c_less(c_0,X2,X0)
% 21.66/22.72      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 21.66/22.72      | c_lessequals(X1,X2,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8615_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16393,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(c_0,X1,X0)
% 21.66/22.72      | ~ c_less(c_0,X2,X0)
% 21.66/22.72      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 21.66/22.72      | c_lessequals(X1,X2,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1075]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16394,plain,
% 21.66/22.72      ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 21.66/22.72      | c_lessequals(X2,X0,X1)
% 21.66/22.72      | ~ c_less(c_0,X2,X1)
% 21.66/22.72      | ~ c_less(c_0,X0,X1)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16393]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1070,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 21.66/22.72      | c_less(c_0,c_0,X0)
% 21.66/22.72      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8614_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16383,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 21.66/22.72      | c_less(c_0,c_0,X0)
% 21.66/22.72      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1070]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16384,plain,
% 21.66/22.72      ( c_less(c_0,c_0,X0)
% 21.66/22.72      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 21.66/22.72      | ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16383]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1057,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.66/22.72      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 21.66/22.72      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8610_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16357,plain,
% 21.66/22.72      ( ~ class_Power_Orecpower(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.72      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.66/22.72      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 21.66/22.72      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1057]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16358,plain,
% 21.66/22.72      ( ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 21.66/22.72      | ~ class_Power_Orecpower(X1)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.66/22.72      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 21.66/22.72      | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16357]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1048,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(c_0,X1,X0)
% 21.66/22.72      | ~ c_less(c_1,c_divide(X2,X1,X0),X0)
% 21.66/22.72      | c_less(X1,X2,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8607_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16339,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(c_0,X1,X0)
% 21.66/22.72      | ~ c_less(c_1,c_divide(X2,X1,X0),X0)
% 21.66/22.72      | c_less(X1,X2,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1048]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16340,plain,
% 21.66/22.72      ( ~ c_less(c_0,X0,X1)
% 21.66/22.72      | ~ c_less(c_1,c_divide(X2,X0,X1),X1)
% 21.66/22.72      | c_less(X0,X2,X1)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.72      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16339]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1043,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(X1,c_0,X0)
% 21.66/22.72      | ~ c_less(c_1,c_divide(X2,X1,X0),X0)
% 21.66/22.72      | c_less(X2,X1,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8606_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16329,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(X1,c_0,X0)
% 21.66/22.72      | ~ c_less(c_1,c_divide(X2,X1,X0),X0)
% 21.66/22.72      | c_less(X2,X1,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1043]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16330,plain,
% 21.66/22.72      ( ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 21.66/22.72      | ~ c_less(X1,c_0,X2)
% 21.66/22.72      | c_less(X0,X1,X2)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.66/22.72      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16329]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1038,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(c_0,X1,X0)
% 21.66/22.72      | ~ c_lessequals(c_1,c_divide(X2,X1,X0),X0)
% 21.66/22.72      | c_lessequals(X1,X2,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8605_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16319,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(c_0,X1,X0)
% 21.66/22.72      | ~ c_lessequals(c_1,c_divide(X2,X1,X0),X0)
% 21.66/22.72      | c_lessequals(X1,X2,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1038]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16320,plain,
% 21.66/22.72      ( ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 21.66/22.72      | c_lessequals(X1,X0,X2)
% 21.66/22.72      | ~ c_less(c_0,X1,X2)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.66/22.72      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16319]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1033,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(X1,c_0,X0)
% 21.66/22.72      | ~ c_lessequals(c_1,c_divide(X2,X1,X0),X0)
% 21.66/22.72      | c_lessequals(X2,X1,X0) ),
% 21.66/22.72      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8604_0) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16309,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(X1,c_0,X0)
% 21.66/22.72      | ~ c_lessequals(c_1,c_divide(X2,X1,X0),X0)
% 21.66/22.72      | c_lessequals(X2,X1,X0) ),
% 21.66/22.72      inference(copy,[status(esa)],[c_1033]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_16310,plain,
% 21.66/22.72      ( ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 21.66/22.72      | c_lessequals(X0,X1,X2)
% 21.66/22.72      | ~ c_less(X1,c_0,X2)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.66/22.72      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 21.66/22.72      inference(rewriting,[status(thm)],[c_16309]) ).
% 21.66/22.72  
% 21.66/22.72  cnf(c_1028,plain,
% 21.66/22.72      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.72      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.72      | ~ c_less(c_0,X1,X0)
% 21.66/22.72      | ~ c_less(c_divide(X2,X1,X0),c_1,X0)
% 21.66/22.73      | c_less(X2,X1,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8603_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16299,plain,
% 21.66/22.73      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(c_0,X1,X0)
% 21.66/22.73      | ~ c_less(c_divide(X2,X1,X0),c_1,X0)
% 21.66/22.73      | c_less(X2,X1,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_1028]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16300,plain,
% 21.66/22.73      ( ~ c_less(c_0,X0,X1)
% 21.66/22.73      | ~ c_less(c_divide(X2,X0,X1),c_1,X1)
% 21.66/22.73      | c_less(X2,X0,X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16299]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_1023,plain,
% 21.66/22.73      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(X1,c_0,X0)
% 21.66/22.73      | ~ c_less(c_divide(X2,X1,X0),c_1,X0)
% 21.66/22.73      | c_less(X1,X2,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8602_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16289,plain,
% 21.66/22.73      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(X1,c_0,X0)
% 21.66/22.73      | ~ c_less(c_divide(X2,X1,X0),c_1,X0)
% 21.66/22.73      | c_less(X1,X2,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_1023]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16290,plain,
% 21.66/22.73      ( ~ c_less(c_divide(X0,X1,X2),c_1,X2)
% 21.66/22.73      | ~ c_less(X1,c_0,X2)
% 21.66/22.73      | c_less(X1,X0,X2)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16289]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_1018,plain,
% 21.66/22.73      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(c_0,X1,X0)
% 21.66/22.73      | ~ c_lessequals(c_divide(X2,X1,X0),c_1,X0)
% 21.66/22.73      | c_lessequals(X2,X1,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8601_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16279,plain,
% 21.66/22.73      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(c_0,X1,X0)
% 21.66/22.73      | ~ c_lessequals(c_divide(X2,X1,X0),c_1,X0)
% 21.66/22.73      | c_lessequals(X2,X1,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_1018]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16280,plain,
% 21.66/22.73      ( ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 21.66/22.73      | c_lessequals(X0,X1,X2)
% 21.66/22.73      | ~ c_less(c_0,X1,X2)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16279]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_1013,plain,
% 21.66/22.73      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(X1,c_0,X0)
% 21.66/22.73      | ~ c_lessequals(c_divide(X2,X1,X0),c_1,X0)
% 21.66/22.73      | c_lessequals(X1,X2,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8600_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16269,plain,
% 21.66/22.73      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(X1,c_0,X0)
% 21.66/22.73      | ~ c_lessequals(c_divide(X2,X1,X0),c_1,X0)
% 21.66/22.73      | c_lessequals(X1,X2,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_1013]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16270,plain,
% 21.66/22.73      ( ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 21.66/22.73      | c_lessequals(X1,X0,X2)
% 21.66/22.73      | ~ c_less(X1,c_0,X2)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16269]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_1007,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.73      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 21.66/22.73      | 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) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8598_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16257,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber__ring(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.73      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 21.66/22.73      | 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) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_1007]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16258,plain,
% 21.66/22.73      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 21.66/22.73      | 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)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.66/22.73      | ~ class_Numeral_Onumber__ring(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16257]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_1001,plain,
% 21.66/22.73      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.73      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.73      | c_minus(c_SetInterval_OatLeastLessThan(X1,X3,X0),c_SetInterval_OatLeastLessThan(X1,X2,X0),tc_set(X0)) = c_SetInterval_OatLeastLessThan(X2,X3,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8596_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16245,plain,
% 21.66/22.73      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.73      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.73      | c_minus(c_SetInterval_OatLeastLessThan(X1,X3,X0),c_SetInterval_OatLeastLessThan(X1,X2,X0),tc_set(X0)) = c_SetInterval_OatLeastLessThan(X2,X3,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_1001]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16246,plain,
% 21.66/22.73      ( ~ c_lessequals(X0,X1,X2)
% 21.66/22.73      | ~ class_Orderings_Olinorder(X2)
% 21.66/22.73      | c_minus(c_SetInterval_OatLeastLessThan(X0,X3,X2),c_SetInterval_OatLeastLessThan(X0,X1,X2),tc_set(X2)) = c_SetInterval_OatLeastLessThan(X1,X3,X2) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16245]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_988,plain,
% 21.66/22.73      ( ~ class_Power_Orecpower(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.73      | ~ c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),X0)
% 21.66/22.73      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 21.66/22.73      | c_lessequals(c_0,X1,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8592_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16219,plain,
% 21.66/22.73      ( ~ class_Power_Orecpower(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.73      | ~ c_lessequals(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),X0)
% 21.66/22.73      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 21.66/22.73      | c_lessequals(c_0,X1,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_988]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16220,plain,
% 21.66/22.73      ( ~ c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 21.66/22.73      | c_lessequals(c_0,X0,X2)
% 21.66/22.73      | ~ class_Power_Orecpower(X2)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 21.66/22.73      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16219]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_983,plain,
% 21.66/22.73      ( ~ class_Power_Orecpower(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.73      | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 21.66/22.73      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 21.66/22.73      | c_lessequals(X1,c_0,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8591_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16209,plain,
% 21.66/22.73      ( ~ class_Power_Orecpower(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.73      | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 21.66/22.73      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 21.66/22.73      | c_lessequals(X1,c_0,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_983]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16210,plain,
% 21.66/22.73      ( ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 21.66/22.73      | c_lessequals(X0,c_0,X2)
% 21.66/22.73      | ~ class_Power_Orecpower(X2)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 21.66/22.73      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16209]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_978,plain,
% 21.66/22.73      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.73      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.73      | ~ c_less(X2,c_Main_OMin__gr__iff__1(X1,X2,X0),X0)
% 21.66/22.73      | c_less(X2,c_Finite__Set_OMin(X1,X0),X0)
% 21.66/22.73      | X1 = c_emptyset ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8590_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16199,plain,
% 21.66/22.73      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.73      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.73      | ~ c_less(X2,c_Main_OMin__gr__iff__1(X1,X2,X0),X0)
% 21.66/22.73      | c_less(X2,c_Finite__Set_OMin(X1,X0),X0)
% 21.66/22.73      | X1 = c_emptyset ),
% 21.66/22.73      inference(copy,[status(esa)],[c_978]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16200,plain,
% 21.66/22.73      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.66/22.73      | c_less(X2,c_Finite__Set_OMin(X0,X1),X1)
% 21.66/22.73      | ~ c_less(X2,c_Main_OMin__gr__iff__1(X0,X2,X1),X1)
% 21.66/22.73      | ~ class_Orderings_Olinorder(X1)
% 21.66/22.73      | X0 = c_emptyset ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16199]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_973,plain,
% 21.66/22.73      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.73      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.73      | ~ c_lessequals(X2,c_Main_OMin__ge__iff__1(X1,X2,X0),X0)
% 21.66/22.73      | c_lessequals(X2,c_Finite__Set_OMin(X1,X0),X0)
% 21.66/22.73      | X1 = c_emptyset ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8589_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16189,plain,
% 21.66/22.73      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.73      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.73      | ~ c_lessequals(X2,c_Main_OMin__ge__iff__1(X1,X2,X0),X0)
% 21.66/22.73      | c_lessequals(X2,c_Finite__Set_OMin(X1,X0),X0)
% 21.66/22.73      | X1 = c_emptyset ),
% 21.66/22.73      inference(copy,[status(esa)],[c_973]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16190,plain,
% 21.66/22.73      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.66/22.73      | c_lessequals(X2,c_Finite__Set_OMin(X0,X1),X1)
% 21.66/22.73      | ~ c_lessequals(X2,c_Main_OMin__ge__iff__1(X0,X2,X1),X1)
% 21.66/22.73      | ~ class_Orderings_Olinorder(X1)
% 21.66/22.73      | X0 = c_emptyset ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16189]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_968,plain,
% 21.66/22.73      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.73      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.73      | ~ c_less(c_Main_OMax__less__iff__1(X1,X2,X0),X2,X0)
% 21.66/22.73      | c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 21.66/22.73      | X1 = c_emptyset ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8588_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16179,plain,
% 21.66/22.73      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.73      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.73      | ~ c_less(c_Main_OMax__less__iff__1(X1,X2,X0),X2,X0)
% 21.66/22.73      | c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 21.66/22.73      | X1 = c_emptyset ),
% 21.66/22.73      inference(copy,[status(esa)],[c_968]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16180,plain,
% 21.66/22.73      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.66/22.73      | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 21.66/22.73      | ~ c_less(c_Main_OMax__less__iff__1(X0,X2,X1),X2,X1)
% 21.66/22.73      | ~ class_Orderings_Olinorder(X1)
% 21.66/22.73      | X0 = c_emptyset ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16179]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_963,plain,
% 21.66/22.73      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.73      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.73      | ~ c_lessequals(c_Main_OMax__le__iff__1(X1,X2,X0),X2,X0)
% 21.66/22.73      | c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 21.66/22.73      | X1 = c_emptyset ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8587_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16169,plain,
% 21.66/22.73      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.73      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 21.66/22.73      | ~ c_lessequals(c_Main_OMax__le__iff__1(X1,X2,X0),X2,X0)
% 21.66/22.73      | c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 21.66/22.73      | X1 = c_emptyset ),
% 21.66/22.73      inference(copy,[status(esa)],[c_963]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16170,plain,
% 21.66/22.73      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.66/22.73      | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 21.66/22.73      | ~ c_lessequals(c_Main_OMax__le__iff__1(X0,X2,X1),X2,X1)
% 21.66/22.73      | ~ class_Orderings_Olinorder(X1)
% 21.66/22.73      | X0 = c_emptyset ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16169]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_957,plain,
% 21.66/22.73      ( ~ class_Power_Orecpower(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.73      | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),X0)
% 21.66/22.73      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 21.66/22.73      | c_less(c_0,X1,X0)
% 21.66/22.73      | c_Numeral_Onumber__of(X2,tc_nat) = c_0 ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8586_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16157,plain,
% 21.66/22.73      ( ~ class_Power_Orecpower(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.66/22.73      | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),X0)
% 21.66/22.73      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 21.66/22.73      | c_less(c_0,X1,X0)
% 21.66/22.73      | c_Numeral_Onumber__of(X2,tc_nat) = c_0 ),
% 21.66/22.73      inference(copy,[status(esa)],[c_957]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16158,plain,
% 21.66/22.73      ( ~ c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 21.66/22.73      | c_less(c_0,X0,X2)
% 21.66/22.73      | ~ class_Power_Orecpower(X2)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 21.66/22.73      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.66/22.73      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16157]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_951,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(X1,c_0,X0)
% 21.66/22.73      | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 21.66/22.73      | c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8585_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16145,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(X1,c_0,X0)
% 21.66/22.73      | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 21.66/22.73      | c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_951]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16146,plain,
% 21.66/22.73      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.73      | c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 21.66/22.73      | ~ c_less(X2,c_0,X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16145]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_945,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(c_0,X1,X0)
% 21.66/22.73      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.73      | c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8584_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16133,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(c_0,X1,X0)
% 21.66/22.73      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.73      | c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_945]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16134,plain,
% 21.66/22.73      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.73      | c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 21.66/22.73      | ~ c_less(c_0,X2,X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16133]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_939,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_lessequals(X1,c_0,X0)
% 21.66/22.73      | ~ c_lessequals(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 21.66/22.73      | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8583_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16121,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_lessequals(X1,c_0,X0)
% 21.66/22.73      | ~ c_lessequals(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 21.66/22.73      | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_939]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16122,plain,
% 21.66/22.73      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.73      | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 21.66/22.73      | ~ c_lessequals(X2,c_0,X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16121]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_933,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_lessequals(c_0,X1,X0)
% 21.66/22.73      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.73      | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8582_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16109,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_lessequals(c_0,X1,X0)
% 21.66/22.73      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.73      | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_933]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16110,plain,
% 21.66/22.73      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.73      | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 21.66/22.73      | ~ c_lessequals(c_0,X2,X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16109]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_927,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(c_0,X1,X0)
% 21.66/22.73      | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 21.66/22.73      | c_less(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8581_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16097,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(c_0,X1,X0)
% 21.66/22.73      | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 21.66/22.73      | c_less(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_927]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16098,plain,
% 21.66/22.73      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.73      | ~ c_less(c_0,X2,X1)
% 21.66/22.73      | c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16097]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_921,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(X1,c_0,X0)
% 21.66/22.73      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.73      | c_less(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8580_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16085,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(X1,c_0,X0)
% 21.66/22.73      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.73      | c_less(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_921]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16086,plain,
% 21.66/22.73      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.73      | c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 21.66/22.73      | ~ c_less(X2,c_0,X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16085]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_915,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_lessequals(c_0,X1,X0)
% 21.66/22.73      | ~ c_lessequals(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 21.66/22.73      | c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8579_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16073,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_lessequals(c_0,X1,X0)
% 21.66/22.73      | ~ c_lessequals(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 21.66/22.73      | c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_915]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16074,plain,
% 21.66/22.73      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.73      | ~ c_lessequals(c_0,X2,X1)
% 21.66/22.73      | c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16073]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_909,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_lessequals(X1,c_0,X0)
% 21.66/22.73      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.73      | c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8578_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16061,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_lessequals(X1,c_0,X0)
% 21.66/22.73      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.73      | c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_909]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16062,plain,
% 21.66/22.73      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.73      | c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 21.66/22.73      | ~ c_lessequals(X2,c_0,X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16061]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_896,plain,
% 21.66/22.73      ( ~ class_Power_Orecpower(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.66/22.73      | ~ c_less(X1,X2,tc_nat)
% 21.66/22.73      | ~ c_less(c_1,X3,X0)
% 21.66/22.73      | c_less(c_Nat_Opower(X3,X1,X0),c_Nat_Opower(X3,X2,X0),X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8574_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16035,plain,
% 21.66/22.73      ( ~ class_Power_Orecpower(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.66/22.73      | ~ c_less(X1,X2,tc_nat)
% 21.66/22.73      | ~ c_less(c_1,X3,X0)
% 21.66/22.73      | c_less(c_Nat_Opower(X3,X1,X0),c_Nat_Opower(X3,X2,X0),X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_896]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16036,plain,
% 21.66/22.73      ( ~ c_less(c_1,X0,X1)
% 21.66/22.73      | c_less(c_Nat_Opower(X0,X2,X1),c_Nat_Opower(X0,X3,X1),X1)
% 21.66/22.73      | ~ c_less(X2,X3,tc_nat)
% 21.66/22.73      | ~ class_Power_Orecpower(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16035]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_891,plain,
% 21.66/22.73      ( ~ class_Power_Orecpower(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.66/22.73      | ~ c_less(c_1,X1,X0)
% 21.66/22.73      | ~ c_lessequals(X2,X3,tc_nat)
% 21.66/22.73      | c_lessequals(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8573_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16025,plain,
% 21.66/22.73      ( ~ class_Power_Orecpower(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.66/22.73      | ~ c_less(c_1,X1,X0)
% 21.66/22.73      | ~ c_lessequals(X2,X3,tc_nat)
% 21.66/22.73      | c_lessequals(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_891]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16026,plain,
% 21.66/22.73      ( c_lessequals(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 21.66/22.73      | ~ c_lessequals(X1,X3,tc_nat)
% 21.66/22.73      | ~ c_less(c_1,X0,X2)
% 21.66/22.73      | ~ class_Power_Orecpower(X2)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16025]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_885,plain,
% 21.66/22.73      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.73      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.73      | ~ c_lessequals(X3,X4,X0)
% 21.66/22.73      | c_lessequals(c_SetInterval_OatLeastLessThan(X4,X1,X0),c_SetInterval_OatLeastLessThan(X3,X2,X0),tc_set(X0)) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8571_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16013,plain,
% 21.66/22.73      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.73      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.73      | ~ c_lessequals(X3,X4,X0)
% 21.66/22.73      | c_lessequals(c_SetInterval_OatLeastLessThan(X4,X1,X0),c_SetInterval_OatLeastLessThan(X3,X2,X0),tc_set(X0)) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_885]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_16014,plain,
% 21.66/22.73      ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 21.66/22.73      | ~ c_lessequals(X1,X4,X2)
% 21.66/22.73      | ~ c_lessequals(X3,X0,X2)
% 21.66/22.73      | ~ class_Orderings_Olinorder(X2) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_16013]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_876,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 21.66/22.73      | c_less(X2,c_0,X0)
% 21.66/22.73      | c_less(c_0,X2,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8569_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15995,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 21.66/22.73      | c_less(X2,c_0,X0)
% 21.66/22.73      | c_less(c_0,X2,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_876]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15996,plain,
% 21.66/22.73      ( ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 21.66/22.73      | c_less(c_0,X2,X1)
% 21.66/22.73      | c_less(X2,c_0,X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15995]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_870,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 21.66/22.73      | c_lessequals(X2,c_0,X0)
% 21.66/22.73      | c_lessequals(c_0,X2,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8568_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15983,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 21.66/22.73      | c_lessequals(X2,c_0,X0)
% 21.66/22.73      | c_lessequals(c_0,X2,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_870]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15984,plain,
% 21.66/22.73      ( ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 21.66/22.73      | c_lessequals(c_0,X2,X1)
% 21.66/22.73      | c_lessequals(X2,c_0,X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15983]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_864,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 21.66/22.73      | c_less(X2,c_0,X0)
% 21.66/22.73      | c_less(c_0,X2,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8567_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15971,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 21.66/22.73      | c_less(X2,c_0,X0)
% 21.66/22.73      | c_less(c_0,X2,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_864]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15972,plain,
% 21.66/22.73      ( c_less(c_0,X0,X1)
% 21.66/22.73      | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 21.66/22.73      | c_less(X0,c_0,X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15971]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_858,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 21.66/22.73      | c_lessequals(X2,c_0,X0)
% 21.66/22.73      | c_lessequals(c_0,X2,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8566_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15959,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 21.66/22.73      | c_lessequals(X2,c_0,X0)
% 21.66/22.73      | c_lessequals(c_0,X2,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_858]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15960,plain,
% 21.66/22.73      ( c_lessequals(c_0,X0,X1)
% 21.66/22.73      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 21.66/22.73      | c_lessequals(X0,c_0,X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15959]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_843,plain,
% 21.66/22.73      ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 21.66/22.73      | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 21.66/22.73      | c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8559_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15929,plain,
% 21.66/22.73      ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 21.66/22.73      | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 21.66/22.73      | c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_843]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15930,plain,
% 21.66/22.73      ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 21.66/22.73      | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 21.66/22.73      | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15929]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_836,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(X1,c_0,X0)
% 21.66/22.73      | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.73      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 21.66/22.73      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8558_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15915,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(X1,c_0,X0)
% 21.66/22.73      | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.73      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 21.66/22.73      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_836]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15916,plain,
% 21.66/22.73      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.73      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.73      | ~ c_less(X2,c_0,X1)
% 21.66/22.73      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15915]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_829,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_lessequals(X1,c_0,X0)
% 21.66/22.73      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.73      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 21.66/22.73      | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8557_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15901,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_lessequals(X1,c_0,X0)
% 21.66/22.73      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.73      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 21.66/22.73      | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_829]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15902,plain,
% 21.66/22.73      ( ~ c_lessequals(X0,c_0,X1)
% 21.66/22.73      | c_lessequals(X0,c_divide(X2,c_Numeral_Onumber__of(X3,X1),X1),X1)
% 21.66/22.73      | c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
% 21.66/22.73      | c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15901]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_822,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(c_0,X1,X0)
% 21.66/22.73      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.73      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 21.66/22.73      | c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8556_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15887,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(c_0,X1,X0)
% 21.66/22.73      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.73      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 21.66/22.73      | c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_822]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15888,plain,
% 21.66/22.73      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.73      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.73      | ~ c_less(c_0,X2,X1)
% 21.66/22.73      | c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15887]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_815,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_lessequals(c_0,X1,X0)
% 21.66/22.73      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.73      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 21.66/22.73      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8555_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15873,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_lessequals(c_0,X1,X0)
% 21.66/22.73      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.73      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 21.66/22.73      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_815]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15874,plain,
% 21.66/22.73      ( ~ c_lessequals(c_0,X0,X1)
% 21.66/22.73      | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X1),X1),X0,X1)
% 21.66/22.73      | c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
% 21.66/22.73      | c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15873]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_812,plain,
% 21.66/22.73      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.66/22.73      | ~ c_less(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 21.66/22.73      | c_less(X1,X3,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8554_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15867,plain,
% 21.66/22.73      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.66/22.73      | ~ c_less(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 21.66/22.73      | c_less(X1,X3,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_812]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15868,plain,
% 21.66/22.73      ( ~ c_less(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 21.66/22.73      | c_less(X0,X3,X2)
% 21.66/22.73      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15867]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_809,plain,
% 21.66/22.73      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.66/22.73      | ~ c_less(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 21.66/22.73      | c_less(X2,X3,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8553_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15861,plain,
% 21.66/22.73      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.66/22.73      | ~ c_less(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 21.66/22.73      | c_less(X2,X3,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_809]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15862,plain,
% 21.66/22.73      ( ~ c_less(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 21.66/22.73      | c_less(X1,X3,X2)
% 21.66/22.73      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15861]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_806,plain,
% 21.66/22.73      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.66/22.73      | ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 21.66/22.73      | c_lessequals(X1,X3,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8552_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15855,plain,
% 21.66/22.73      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.66/22.73      | ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 21.66/22.73      | c_lessequals(X1,X3,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_806]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15856,plain,
% 21.66/22.73      ( ~ c_lessequals(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 21.66/22.73      | c_lessequals(X0,X3,X2)
% 21.66/22.73      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15855]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_803,plain,
% 21.66/22.73      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.66/22.73      | ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 21.66/22.73      | c_lessequals(X2,X3,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8551_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15849,plain,
% 21.66/22.73      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.66/22.73      | ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 21.66/22.73      | c_lessequals(X2,X3,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_803]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15850,plain,
% 21.66/22.73      ( ~ c_lessequals(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 21.66/22.73      | c_lessequals(X1,X3,X2)
% 21.66/22.73      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15849]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_797,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 21.66/22.73      | c_less(c_0,X2,X0)
% 21.66/22.73      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8550_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15837,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 21.66/22.73      | c_less(c_0,X2,X0)
% 21.66/22.73      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_797]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15838,plain,
% 21.66/22.73      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.73      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 21.66/22.73      | c_less(c_0,X2,X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15837]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_791,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 21.66/22.73      | c_less(X2,c_0,X0)
% 21.66/22.73      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8549_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15825,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 21.66/22.73      | c_less(X2,c_0,X0)
% 21.66/22.73      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_791]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15826,plain,
% 21.66/22.73      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.73      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 21.66/22.73      | c_less(X2,c_0,X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15825]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_785,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 21.66/22.73      | c_lessequals(c_0,X2,X0)
% 21.66/22.73      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8548_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15813,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 21.66/22.73      | c_lessequals(c_0,X2,X0)
% 21.66/22.73      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_785]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15814,plain,
% 21.66/22.73      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.73      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 21.66/22.73      | c_lessequals(c_0,X2,X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15813]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_779,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 21.66/22.73      | c_lessequals(X2,c_0,X0)
% 21.66/22.73      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8547_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15801,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 21.66/22.73      | c_lessequals(X2,c_0,X0)
% 21.66/22.73      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_779]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15802,plain,
% 21.66/22.73      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.73      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 21.66/22.73      | c_lessequals(X2,c_0,X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15801]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_773,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 21.66/22.73      | c_less(X2,c_0,X0)
% 21.66/22.73      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8546_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15789,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 21.66/22.73      | c_less(X2,c_0,X0)
% 21.66/22.73      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_773]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15790,plain,
% 21.66/22.73      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.73      | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 21.66/22.73      | c_less(X2,c_0,X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15789]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_761,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 21.66/22.73      | c_lessequals(X2,c_0,X0)
% 21.66/22.73      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8544_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15765,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.73      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 21.66/22.73      | c_lessequals(X2,c_0,X0)
% 21.66/22.73      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_761]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15766,plain,
% 21.66/22.73      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.73      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 21.66/22.73      | c_lessequals(X2,c_0,X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15765]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_707,plain,
% 21.66/22.73      ( ~ c_less(c_0,X0,tc_nat)
% 21.66/22.73      | ~ c_lessequals(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat)
% 21.66/22.73      | c_lessequals(X1,X2,tc_nat) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8529_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15657,plain,
% 21.66/22.73      ( ~ c_less(c_0,X0,tc_nat)
% 21.66/22.73      | ~ c_lessequals(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat)
% 21.66/22.73      | c_lessequals(X1,X2,tc_nat) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_707]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15658,plain,
% 21.66/22.73      ( ~ c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 21.66/22.73      | c_lessequals(X0,X2,tc_nat)
% 21.66/22.73      | ~ c_less(c_0,X1,tc_nat) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15657]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_704,plain,
% 21.66/22.73      ( ~ c_less(c_0,X0,tc_nat)
% 21.66/22.73      | ~ c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 21.66/22.73      | c_lessequals(X1,X2,tc_nat) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8528_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15651,plain,
% 21.66/22.73      ( ~ c_less(c_0,X0,tc_nat)
% 21.66/22.73      | ~ c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 21.66/22.73      | c_lessequals(X1,X2,tc_nat) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_704]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15652,plain,
% 21.66/22.73      ( ~ c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 21.66/22.73      | c_lessequals(X1,X2,tc_nat)
% 21.66/22.73      | ~ c_less(c_0,X0,tc_nat) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15651]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_699,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.73      | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 21.66/22.73      | c_lessequals(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.73      | c_lessequals(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8527_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15641,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.73      | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 21.66/22.73      | c_lessequals(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.73      | c_lessequals(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_699]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15642,plain,
% 21.66/22.73      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.73      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.73      | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15641]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_694,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.73      | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 21.66/22.73      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.73      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8526_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15631,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.73      | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 21.66/22.73      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.73      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_694]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15632,plain,
% 21.66/22.73      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.73      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.73      | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15631]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_689,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.73      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.73      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.73      | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8525_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15621,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.73      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.73      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.73      | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_689]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15622,plain,
% 21.66/22.73      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.66/22.73      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 21.66/22.73      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 21.66/22.73      | ~ class_Numeral_Onumber(X2)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15621]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_684,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.73      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.73      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.73      | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8524_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15611,plain,
% 21.66/22.73      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.73      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.73      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.73      | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_684]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15612,plain,
% 21.66/22.73      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 21.66/22.73      | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.73      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.73      | ~ class_Numeral_Onumber(X1)
% 21.66/22.73      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15611]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_681,plain,
% 21.66/22.73      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.73      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 21.66/22.73      | c_lessequals(X2,X1,X0)
% 21.66/22.73      | c_lessequals(X2,X4,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8523_1) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15605,plain,
% 21.66/22.73      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.73      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 21.66/22.73      | c_lessequals(X2,X1,X0)
% 21.66/22.73      | c_lessequals(X2,X4,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_681]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15606,plain,
% 21.66/22.73      ( ~ c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 21.66/22.73      | c_lessequals(X1,X0,X2)
% 21.66/22.73      | c_lessequals(X1,X4,X2)
% 21.66/22.73      | ~ class_Orderings_Olinorder(X2) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15605]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_680,plain,
% 21.66/22.73      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.73      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 21.66/22.73      | c_lessequals(X2,X4,X0)
% 21.66/22.73      | c_lessequals(X2,X1,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8523_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15603,plain,
% 21.66/22.73      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.73      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 21.66/22.73      | c_lessequals(X2,X4,X0)
% 21.66/22.73      | c_lessequals(X2,X1,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_680]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15604,plain,
% 21.66/22.73      ( ~ c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 21.66/22.73      | c_lessequals(X1,X4,X2)
% 21.66/22.73      | c_lessequals(X1,X0,X2)
% 21.66/22.73      | ~ class_Orderings_Olinorder(X2) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15603]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_677,plain,
% 21.66/22.73      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.73      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 21.66/22.73      | c_lessequals(X2,X1,X0)
% 21.66/22.73      | c_lessequals(X3,X1,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8522_1) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15597,plain,
% 21.66/22.73      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.73      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 21.66/22.73      | c_lessequals(X2,X1,X0)
% 21.66/22.73      | c_lessequals(X3,X1,X0) ),
% 21.66/22.73      inference(copy,[status(esa)],[c_677]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15598,plain,
% 21.66/22.73      ( ~ c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 21.66/22.73      | c_lessequals(X1,X0,X2)
% 21.66/22.73      | c_lessequals(X3,X0,X2)
% 21.66/22.73      | ~ class_Orderings_Olinorder(X2) ),
% 21.66/22.73      inference(rewriting,[status(thm)],[c_15597]) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_676,plain,
% 21.66/22.73      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.73      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 21.66/22.73      | c_lessequals(X3,X1,X0)
% 21.66/22.73      | c_lessequals(X2,X1,X0) ),
% 21.66/22.73      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8522_0) ).
% 21.66/22.73  
% 21.66/22.73  cnf(c_15595,plain,
% 21.66/22.73      ( ~ class_Orderings_Olinorder(X0)
% 21.66/22.73      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 21.66/22.73      | c_lessequals(X3,X1,X0)
% 21.66/22.73      | c_lessequals(X2,X1,X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_676]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15596,plain,
% 21.66/22.74      ( ~ c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 21.66/22.74      | c_lessequals(X3,X0,X2)
% 21.66/22.74      | c_lessequals(X1,X0,X2)
% 21.66/22.74      | ~ class_Orderings_Olinorder(X2) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15595]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_671,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_less(X1,X2,X0)
% 21.66/22.74      | c_less(c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | c_lessequals(c_Numeral_Onumber__of(X3,X0),c_0,X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8521_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15585,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_less(X1,X2,X0)
% 21.66/22.74      | c_less(c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | c_lessequals(c_Numeral_Onumber__of(X3,X0),c_0,X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_671]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15586,plain,
% 21.66/22.74      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.74      | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.66/22.74      | ~ c_less(X2,X3,X1)
% 21.66/22.74      | ~ class_Numeral_Onumber(X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15585]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_666,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_less(X1,X2,X0)
% 21.66/22.74      | c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | c_lessequals(c_0,c_Numeral_Onumber__of(X3,X0),X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8520_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15575,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_less(X1,X2,X0)
% 21.66/22.74      | c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | c_lessequals(c_0,c_Numeral_Onumber__of(X3,X0),X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_666]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15576,plain,
% 21.66/22.74      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.74      | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.66/22.74      | ~ c_less(X3,X2,X1)
% 21.66/22.74      | ~ class_Numeral_Onumber(X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15575]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_661,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_less(X1,X2,X0)
% 21.66/22.74      | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),X0)
% 21.66/22.74      | c_lessequals(c_Numeral_Onumber__of(X3,X0),c_0,X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8519_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15565,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_less(X1,X2,X0)
% 21.66/22.74      | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),X0)
% 21.66/22.74      | c_lessequals(c_Numeral_Onumber__of(X3,X0),c_0,X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_661]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15566,plain,
% 21.66/22.74      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.74      | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 21.66/22.74      | ~ c_less(X2,X3,X1)
% 21.66/22.74      | ~ class_Numeral_Onumber(X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15565]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_656,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_less(X1,X2,X0)
% 21.66/22.74      | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 21.66/22.74      | c_lessequals(c_0,c_Numeral_Onumber__of(X3,X0),X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8518_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15555,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_less(X1,X2,X0)
% 21.66/22.74      | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 21.66/22.74      | c_lessequals(c_0,c_Numeral_Onumber__of(X3,X0),X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_656]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15556,plain,
% 21.66/22.74      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.74      | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 21.66/22.74      | ~ c_less(X3,X2,X1)
% 21.66/22.74      | ~ class_Numeral_Onumber(X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15555]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_651,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.74      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 21.66/22.74      | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8517_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15545,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.74      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 21.66/22.74      | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_651]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15546,plain,
% 21.66/22.74      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.66/22.74      | ~ c_lessequals(X0,X3,X2)
% 21.66/22.74      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 21.66/22.74      | ~ class_Numeral_Onumber(X2)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15545]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_646,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 21.66/22.74      | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8516_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15535,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 21.66/22.74      | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_646]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15536,plain,
% 21.66/22.74      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.66/22.74      | ~ c_lessequals(X3,X0,X2)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 21.66/22.74      | ~ class_Numeral_Onumber(X2)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15535]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_641,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.74      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 21.66/22.74      | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8515_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15525,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.74      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 21.66/22.74      | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_641]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15526,plain,
% 21.66/22.74      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 21.66/22.74      | ~ c_lessequals(X2,X3,X1)
% 21.66/22.74      | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.74      | ~ class_Numeral_Onumber(X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15525]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_636,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 21.66/22.74      | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8514_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15515,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 21.66/22.74      | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_636]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15516,plain,
% 21.66/22.74      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 21.66/22.74      | ~ c_lessequals(X3,X2,X1)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.74      | ~ class_Numeral_Onumber(X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15515]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_633,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 21.66/22.74      | ~ c_less(X1,X3,X0)
% 21.66/22.74      | ~ c_less(X3,X1,X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8513_2) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15509,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 21.66/22.74      | ~ c_less(X1,X3,X0)
% 21.66/22.74      | ~ c_less(X3,X1,X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_633]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15510,plain,
% 21.66/22.74      ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.66/22.74      | ~ c_less(X0,X3,X2)
% 21.66/22.74      | ~ c_less(X3,X0,X2)
% 21.66/22.74      | ~ class_Numeral_Onumber(X2)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15509]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_631,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_less(X1,X2,X0)
% 21.66/22.74      | ~ c_less(X2,X1,X0)
% 21.66/22.74      | c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8513_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15505,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_less(X1,X2,X0)
% 21.66/22.74      | ~ c_less(X2,X1,X0)
% 21.66/22.74      | c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_631]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15506,plain,
% 21.66/22.74      ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.66/22.74      | ~ c_less(X3,X0,X2)
% 21.66/22.74      | ~ c_less(X0,X3,X2)
% 21.66/22.74      | ~ class_Numeral_Onumber(X2)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15505]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_628,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 21.66/22.74      | ~ c_less(X2,X3,X0)
% 21.66/22.74      | ~ c_less(X3,X2,X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8512_2) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15499,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 21.66/22.74      | ~ c_less(X2,X3,X0)
% 21.66/22.74      | ~ c_less(X3,X2,X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_628]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15500,plain,
% 21.66/22.74      ( c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 21.66/22.74      | ~ c_less(X2,X3,X1)
% 21.66/22.74      | ~ c_less(X3,X2,X1)
% 21.66/22.74      | ~ class_Numeral_Onumber(X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15499]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_626,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_less(X1,X2,X0)
% 21.66/22.74      | ~ c_less(X2,X1,X0)
% 21.66/22.74      | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8512_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15495,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_less(X1,X2,X0)
% 21.66/22.74      | ~ c_less(X2,X1,X0)
% 21.66/22.74      | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_626]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15496,plain,
% 21.66/22.74      ( c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 21.66/22.74      | ~ c_less(X3,X2,X1)
% 21.66/22.74      | ~ c_less(X2,X3,X1)
% 21.66/22.74      | ~ class_Numeral_Onumber(X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15495]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_623,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 21.66/22.74      | ~ c_lessequals(X1,X3,X0)
% 21.66/22.74      | ~ c_lessequals(X3,X1,X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8511_2) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15489,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 21.66/22.74      | ~ c_lessequals(X1,X3,X0)
% 21.66/22.74      | ~ c_lessequals(X3,X1,X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_623]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15490,plain,
% 21.66/22.74      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.66/22.74      | ~ c_lessequals(X0,X3,X2)
% 21.66/22.74      | ~ c_lessequals(X3,X0,X2)
% 21.66/22.74      | ~ class_Numeral_Onumber(X2)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15489]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_621,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.74      | ~ c_lessequals(X2,X1,X0)
% 21.66/22.74      | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8511_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15485,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.74      | ~ c_lessequals(X2,X1,X0)
% 21.66/22.74      | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_621]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15486,plain,
% 21.66/22.74      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.66/22.74      | ~ c_lessequals(X3,X0,X2)
% 21.66/22.74      | ~ c_lessequals(X0,X3,X2)
% 21.66/22.74      | ~ class_Numeral_Onumber(X2)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15485]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_618,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 21.66/22.74      | ~ c_lessequals(X2,X3,X0)
% 21.66/22.74      | ~ c_lessequals(X3,X2,X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8510_2) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15479,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 21.66/22.74      | ~ c_lessequals(X2,X3,X0)
% 21.66/22.74      | ~ c_lessequals(X3,X2,X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_618]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15480,plain,
% 21.66/22.74      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 21.66/22.74      | ~ c_lessequals(X2,X3,X1)
% 21.66/22.74      | ~ c_lessequals(X3,X2,X1)
% 21.66/22.74      | ~ class_Numeral_Onumber(X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15479]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_616,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.74      | ~ c_lessequals(X2,X1,X0)
% 21.66/22.74      | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8510_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15475,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.74      | ~ c_lessequals(X1,X2,X0)
% 21.66/22.74      | ~ c_lessequals(X2,X1,X0)
% 21.66/22.74      | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_616]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15476,plain,
% 21.66/22.74      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 21.66/22.74      | ~ c_lessequals(X3,X2,X1)
% 21.66/22.74      | ~ c_lessequals(X2,X3,X1)
% 21.66/22.74      | ~ class_Numeral_Onumber(X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15475]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_597,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 21.66/22.74      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 21.66/22.74      | c_lessequals(X1,c_0,X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8507_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15437,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 21.66/22.74      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 21.66/22.74      | c_lessequals(X1,c_0,X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_597]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15438,plain,
% 21.66/22.74      ( c_lessequals(X0,c_0,X1)
% 21.66/22.74      | ~ c_lessequals(X0,c_divide(X2,c_Numeral_Onumber__of(X3,X1),X1),X1)
% 21.66/22.74      | c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.74      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15437]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_583,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.74      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 21.66/22.74      | c_lessequals(c_0,X3,X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8505_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15409,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.74      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 21.66/22.74      | c_lessequals(c_0,X3,X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_583]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15410,plain,
% 21.66/22.74      ( c_lessequals(c_0,X0,X1)
% 21.66/22.74      | ~ c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X1),X1),X0,X1)
% 21.66/22.74      | c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X3,X1),X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.74      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15409]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_562,plain,
% 21.66/22.74      ( ~ class_Power_Orecpower(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.66/22.74      | ~ c_less(c_1,X1,X0)
% 21.66/22.74      | ~ c_less(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 21.66/22.74      | c_less(X2,X3,tc_nat) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8499_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15367,plain,
% 21.66/22.74      ( ~ class_Power_Orecpower(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.66/22.74      | ~ c_less(c_1,X1,X0)
% 21.66/22.74      | ~ c_less(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 21.66/22.74      | c_less(X2,X3,tc_nat) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_562]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15368,plain,
% 21.66/22.74      ( ~ c_less(c_1,X0,X1)
% 21.66/22.74      | ~ c_less(c_Nat_Opower(X0,X2,X1),c_Nat_Opower(X0,X3,X1),X1)
% 21.66/22.74      | c_less(X2,X3,tc_nat)
% 21.66/22.74      | ~ class_Power_Orecpower(X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15367]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_557,plain,
% 21.66/22.74      ( ~ class_Power_Orecpower(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.66/22.74      | ~ c_less(c_1,X1,X0)
% 21.66/22.74      | ~ c_lessequals(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 21.66/22.74      | c_lessequals(X2,X3,tc_nat) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8498_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15357,plain,
% 21.66/22.74      ( ~ class_Power_Orecpower(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.66/22.74      | ~ c_less(c_1,X1,X0)
% 21.66/22.74      | ~ c_lessequals(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 21.66/22.74      | c_lessequals(X2,X3,tc_nat) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_557]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15358,plain,
% 21.66/22.74      ( ~ c_lessequals(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 21.66/22.74      | c_lessequals(X1,X3,tc_nat)
% 21.66/22.74      | ~ c_less(c_1,X0,X2)
% 21.66/22.74      | ~ class_Power_Orecpower(X2)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15357]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_554,plain,
% 21.66/22.74      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 21.66/22.74      | ~ c_Wellfounded__Recursion_Owf(X2,X3)
% 21.66/22.74      | c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1)) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8497_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15351,plain,
% 21.66/22.74      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 21.66/22.74      | ~ c_Wellfounded__Recursion_Owf(X2,X3)
% 21.66/22.74      | c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1)) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_554]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15352,plain,
% 21.66/22.74      ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 21.66/22.74      | ~ c_Wellfounded__Recursion_Owf(X1,X3)
% 21.66/22.74      | ~ c_Wellfounded__Recursion_Owf(X0,X2) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15351]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_551,plain,
% 21.66/22.74      ( ~ c_Relation_Otrans(X0,X1)
% 21.66/22.74      | ~ c_Relation_Otrans(X2,X3)
% 21.66/22.74      | c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1)) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8496_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15345,plain,
% 21.66/22.74      ( ~ c_Relation_Otrans(X0,X1)
% 21.66/22.74      | ~ c_Relation_Otrans(X2,X3)
% 21.66/22.74      | c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1)) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_551]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15346,plain,
% 21.66/22.74      ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 21.66/22.74      | ~ c_Relation_Otrans(X1,X3)
% 21.66/22.74      | ~ c_Relation_Otrans(X0,X2) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15345]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_523,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.74      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 21.66/22.74      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8484_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15289,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.74      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 21.66/22.74      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_523]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15290,plain,
% 21.66/22.74      ( ~ c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 21.66/22.74      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 21.66/22.74      | c_less(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 21.66/22.74      | ~ class_Numeral_Onumber(X2) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15289]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_511,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.74      | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 21.66/22.74      | c_lessequals(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8482_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15265,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.74      | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 21.66/22.74      | c_lessequals(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_511]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15266,plain,
% 21.66/22.74      ( ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 21.66/22.74      | c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.66/22.74      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 21.66/22.74      | ~ class_Numeral_Onumber(X2) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15265]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_499,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 21.66/22.74      | c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8480_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15241,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 21.66/22.74      | c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_499]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15242,plain,
% 21.66/22.74      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.74      | c_less(c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 21.66/22.74      | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.74      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15241]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_493,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.74      | ~ c_less(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 21.66/22.74      | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8479_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15229,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.74      | ~ c_less(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 21.66/22.74      | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_493]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15230,plain,
% 21.66/22.74      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.74      | ~ c_less(c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 21.66/22.74      | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.74      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15229]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_481,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.74      | ~ c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 21.66/22.74      | c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8477_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15205,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.74      | ~ c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 21.66/22.74      | c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_481]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15206,plain,
% 21.66/22.74      ( ~ c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 21.66/22.74      | c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.66/22.74      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 21.66/22.74      | ~ class_Numeral_Onumber(X2) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15205]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_474,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(X1,c_0,X0)
% 21.66/22.74      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 21.66/22.74      | c_less(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 21.66/22.74      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8476_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15191,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(X1,c_0,X0)
% 21.66/22.74      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 21.66/22.74      | c_less(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 21.66/22.74      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_474]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15192,plain,
% 21.66/22.74      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.74      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 21.66/22.74      | ~ c_less(X2,c_0,X1)
% 21.66/22.74      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.74      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15191]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_467,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(X1,c_0,X0)
% 21.66/22.74      | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8475_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15177,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(X1,c_0,X0)
% 21.66/22.74      | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_467]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15178,plain,
% 21.66/22.74      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.74      | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.66/22.74      | ~ c_less(X3,c_0,X1)
% 21.66/22.74      | c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.74      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15177]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_460,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_lessequals(X1,c_0,X0)
% 21.66/22.74      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 21.66/22.74      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 21.66/22.74      | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8474_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15163,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_lessequals(X1,c_0,X0)
% 21.66/22.74      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 21.66/22.74      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 21.66/22.74      | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_460]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15164,plain,
% 21.66/22.74      ( ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 21.66/22.74      | ~ c_lessequals(X0,c_0,X2)
% 21.66/22.74      | c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.66/22.74      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 21.66/22.74      | ~ class_Numeral_Onumber(X2) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15163]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_453,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_lessequals(X1,c_0,X0)
% 21.66/22.74      | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 21.66/22.74      | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8473_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15149,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_lessequals(X1,c_0,X0)
% 21.66/22.74      | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 21.66/22.74      | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_453]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15150,plain,
% 21.66/22.74      ( ~ c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 21.66/22.74      | ~ c_lessequals(X1,c_0,X3)
% 21.66/22.74      | c_lessequals(X1,c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X3)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 21.66/22.74      | ~ class_Numeral_Onumber(X3) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15149]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_446,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | ~ c_less(c_0,X2,X0)
% 21.66/22.74      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 21.66/22.74      | c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8472_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15135,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | ~ c_less(c_0,X2,X0)
% 21.66/22.74      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 21.66/22.74      | c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_446]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15136,plain,
% 21.66/22.74      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.74      | ~ c_less(c_0,X2,X1)
% 21.66/22.74      | c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 21.66/22.74      | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.74      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15135]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_439,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(c_0,X1,X0)
% 21.66/22.74      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.74      | c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8471_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15121,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(c_0,X1,X0)
% 21.66/22.74      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.74      | c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_439]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15122,plain,
% 21.66/22.74      ( ~ c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 21.66/22.74      | ~ c_less(c_0,X0,X2)
% 21.66/22.74      | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 21.66/22.74      | ~ class_Numeral_Onumber(X2) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15121]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_432,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | ~ c_lessequals(c_0,X2,X0)
% 21.66/22.74      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 21.66/22.74      | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8470_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15107,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | ~ c_lessequals(c_0,X2,X0)
% 21.66/22.74      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 21.66/22.74      | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_432]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15108,plain,
% 21.66/22.74      ( ~ c_lessequals(c_0,X0,X1)
% 21.66/22.74      | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X1),X1),X0,X1)
% 21.66/22.74      | ~ c_lessequals(X2,c_times(X0,c_Numeral_Onumber__of(X3,X1),X1),X1)
% 21.66/22.74      | c_less(c_Numeral_Onumber__of(X3,X1),c_0,X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.74      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15107]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_425,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_lessequals(c_0,X1,X0)
% 21.66/22.74      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.74      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8469_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15093,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_lessequals(c_0,X1,X0)
% 21.66/22.74      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.74      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_425]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15094,plain,
% 21.66/22.74      ( ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 21.66/22.74      | ~ c_lessequals(c_0,X0,X2)
% 21.66/22.74      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 21.66/22.74      | ~ class_Numeral_Onumber(X2) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15093]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_412,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 21.66/22.74      | c_less(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8465_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15067,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 21.66/22.74      | c_less(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_412]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15068,plain,
% 21.66/22.74      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.74      | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.66/22.74      | c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.74      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15067]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_405,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 21.66/22.74      | c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8464_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15053,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 21.66/22.74      | c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_405]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15054,plain,
% 21.66/22.74      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.74      | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.66/22.74      | ~ c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.74      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15053]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_398,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.74      | ~ c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.74      | c_lessequals(X3,c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8463_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15039,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.74      | ~ c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.74      | c_lessequals(X3,c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_398]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15040,plain,
% 21.66/22.74      ( ~ c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 21.66/22.74      | c_lessequals(X1,c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 21.66/22.74      | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X3)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 21.66/22.74      | ~ class_Numeral_Onumber(X3) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15039]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_391,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.74      | ~ c_lessequals(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.74      | c_lessequals(X3,c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8462_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15025,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.74      | ~ c_lessequals(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.74      | c_lessequals(X3,c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_391]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15026,plain,
% 21.66/22.74      ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 21.66/22.74      | ~ c_lessequals(X1,c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 21.66/22.74      | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X3)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 21.66/22.74      | ~ class_Numeral_Onumber(X3) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15025]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_384,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.74      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.74      | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8461_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15011,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.74      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.74      | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_384]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_15012,plain,
% 21.66/22.74      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.74      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.74      | c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.74      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_15011]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_377,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.74      | ~ c_less(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.74      | c_less(c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8460_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_14997,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.74      | ~ c_less(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.74      | c_less(c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_377]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_14998,plain,
% 21.66/22.74      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.74      | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.74      | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.74      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_14997]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_370,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.74      | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.74      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8459_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_14983,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.74      | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.74      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_370]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_14984,plain,
% 21.66/22.74      ( ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 21.66/22.74      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 21.66/22.74      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 21.66/22.74      | ~ class_Numeral_Onumber(X2) ),
% 21.66/22.74      inference(rewriting,[status(thm)],[c_14983]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_363,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.74      | ~ c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.74      | c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0) ),
% 21.66/22.74      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8458_0) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_14969,plain,
% 21.66/22.74      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.74      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.74      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.74      | ~ c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 21.66/22.74      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.74      | c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0) ),
% 21.66/22.74      inference(copy,[status(esa)],[c_363]) ).
% 21.66/22.74  
% 21.66/22.74  cnf(c_14970,plain,
% 21.66/22.75      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 21.66/22.75      | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 21.66/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 21.66/22.75      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.66/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 21.66/22.75      | ~ class_Numeral_Onumber(X2) ),
% 21.66/22.75      inference(rewriting,[status(thm)],[c_14969]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_358,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.75      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 21.66/22.75      | ~ c_lessequals(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 21.66/22.75      | c_less(X3,X1,X0) ),
% 21.66/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8457_0) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14959,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.75      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 21.66/22.75      | ~ c_lessequals(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 21.66/22.75      | c_less(X3,X1,X0) ),
% 21.66/22.75      inference(copy,[status(esa)],[c_358]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14960,plain,
% 21.66/22.75      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.75      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.66/22.75      | c_less(X3,X2,X1)
% 21.66/22.75      | ~ class_Numeral_Onumber(X1)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 21.66/22.75      inference(rewriting,[status(thm)],[c_14959]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_353,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.75      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 21.66/22.75      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.75      | c_less(X1,X3,X0) ),
% 21.66/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8456_0) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14949,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.75      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 21.66/22.75      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.66/22.75      | c_less(X1,X3,X0) ),
% 21.66/22.75      inference(copy,[status(esa)],[c_353]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14950,plain,
% 21.66/22.75      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.75      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.66/22.75      | c_less(X2,X3,X1)
% 21.66/22.75      | ~ class_Numeral_Onumber(X1)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 21.66/22.75      inference(rewriting,[status(thm)],[c_14949]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_348,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.75      | ~ c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 21.66/22.75      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.75      | c_less(X3,X2,X0) ),
% 21.66/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8455_0) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14939,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.75      | ~ c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 21.66/22.75      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.75      | c_less(X3,X2,X0) ),
% 21.66/22.75      inference(copy,[status(esa)],[c_348]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14940,plain,
% 21.66/22.75      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.75      | ~ c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 21.66/22.75      | c_less(X3,X2,X1)
% 21.66/22.75      | ~ class_Numeral_Onumber(X1)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 21.66/22.75      inference(rewriting,[status(thm)],[c_14939]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_343,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.75      | ~ c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 21.66/22.75      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.75      | c_less(X2,X3,X0) ),
% 21.66/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8454_0) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14929,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.75      | ~ c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 21.66/22.75      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.75      | c_less(X2,X3,X0) ),
% 21.66/22.75      inference(copy,[status(esa)],[c_343]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14930,plain,
% 21.66/22.75      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.75      | ~ c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 21.66/22.75      | c_less(X2,X3,X1)
% 21.66/22.75      | ~ class_Numeral_Onumber(X1)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 21.66/22.75      inference(rewriting,[status(thm)],[c_14929]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_338,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.75      | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 21.66/22.75      | c_lessequals(X3,X2,X0) ),
% 21.66/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8453_0) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14919,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.75      | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 21.66/22.75      | c_lessequals(X3,X2,X0) ),
% 21.66/22.75      inference(copy,[status(esa)],[c_338]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14920,plain,
% 21.66/22.75      ( ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.66/22.75      | c_lessequals(X3,X0,X2)
% 21.66/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 21.66/22.75      | ~ class_Numeral_Onumber(X2)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 21.66/22.75      inference(rewriting,[status(thm)],[c_14919]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_333,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.75      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.75      | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 21.66/22.75      | c_lessequals(X2,X3,X0) ),
% 21.66/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8452_0) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14909,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.75      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.75      | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 21.66/22.75      | c_lessequals(X2,X3,X0) ),
% 21.66/22.75      inference(copy,[status(esa)],[c_333]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14910,plain,
% 21.66/22.75      ( ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.66/22.75      | c_lessequals(X0,X3,X2)
% 21.66/22.75      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 21.66/22.75      | ~ class_Numeral_Onumber(X2)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 21.66/22.75      inference(rewriting,[status(thm)],[c_14909]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_328,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.75      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 21.66/22.75      | c_lessequals(X3,X2,X0) ),
% 21.66/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8451_0) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14899,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.75      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 21.66/22.75      | c_lessequals(X3,X2,X0) ),
% 21.66/22.75      inference(copy,[status(esa)],[c_328]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14900,plain,
% 21.66/22.75      ( ~ c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 21.66/22.75      | c_lessequals(X3,X2,X1)
% 21.66/22.75      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.75      | ~ class_Numeral_Onumber(X1)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 21.66/22.75      inference(rewriting,[status(thm)],[c_14899]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_323,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.75      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.75      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 21.66/22.75      | c_lessequals(X2,X3,X0) ),
% 21.66/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8450_0) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14889,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.66/22.75      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.66/22.75      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 21.66/22.75      | c_lessequals(X2,X3,X0) ),
% 21.66/22.75      inference(copy,[status(esa)],[c_323]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14890,plain,
% 21.66/22.75      ( ~ c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 21.66/22.75      | c_lessequals(X2,X3,X1)
% 21.66/22.75      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.66/22.75      | ~ class_Numeral_Onumber(X1)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 21.66/22.75      inference(rewriting,[status(thm)],[c_14889]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_310,plain,
% 21.66/22.75      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 21.66/22.75      | c_in(X4,c_List_Oset(X0,X1),X1)
% 21.66/22.75      | c_Map_Omap__of(c_List_Ozip(X0,X2,X1,X3),X4,X1,X3) = c_Datatype_Ooption_ONone ),
% 21.66/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8444_0) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14863,plain,
% 21.66/22.75      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 21.66/22.75      | c_in(X4,c_List_Oset(X0,X1),X1)
% 21.66/22.75      | c_Map_Omap__of(c_List_Ozip(X0,X2,X1,X3),X4,X1,X3) = c_Datatype_Ooption_ONone ),
% 21.66/22.75      inference(copy,[status(esa)],[c_310]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14864,plain,
% 21.66/22.75      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 21.66/22.75      | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4))
% 21.66/22.75      | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X0,X2,X4) = c_Datatype_Ooption_ONone ),
% 21.66/22.75      inference(rewriting,[status(thm)],[c_14863]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_295,plain,
% 21.66/22.75      ( ~ class_Power_Orecpower(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.66/22.75      | 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) ),
% 21.66/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8437_0) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14833,plain,
% 21.66/22.75      ( ~ class_Power_Orecpower(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.66/22.75      | 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) ),
% 21.66/22.75      inference(copy,[status(esa)],[c_295]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14834,plain,
% 21.66/22.75      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.66/22.75      | ~ class_Power_Orecpower(X0)
% 21.66/22.75      | 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) ),
% 21.66/22.75      inference(rewriting,[status(thm)],[c_14833]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_288,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.75      | ~ c_less(X1,c_0,X0)
% 21.66/22.75      | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.75      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0)
% 21.66/22.75      | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 21.66/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8436_0) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14819,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.75      | ~ c_less(X1,c_0,X0)
% 21.66/22.75      | ~ c_less(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.75      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0)
% 21.66/22.75      | c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 21.66/22.75      inference(copy,[status(esa)],[c_288]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14820,plain,
% 21.66/22.75      ( ~ c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 21.66/22.75      | ~ c_less(X3,c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.66/22.75      | ~ c_less(X0,c_0,X2)
% 21.66/22.75      | c_less(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.66/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 21.66/22.75      | ~ class_Numeral_Onumber(X2) ),
% 21.66/22.75      inference(rewriting,[status(thm)],[c_14819]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_281,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.75      | ~ c_lessequals(X1,c_0,X0)
% 21.66/22.75      | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.75      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0)
% 21.66/22.75      | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 21.66/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8435_0) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14805,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.75      | ~ c_lessequals(X1,c_0,X0)
% 21.66/22.75      | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.75      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0)
% 21.66/22.75      | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 21.66/22.75      inference(copy,[status(esa)],[c_281]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14806,plain,
% 21.66/22.75      ( ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 21.66/22.75      | ~ c_lessequals(X3,c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.66/22.75      | ~ c_lessequals(X0,c_0,X2)
% 21.66/22.75      | c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.66/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 21.66/22.75      | ~ class_Numeral_Onumber(X2) ),
% 21.66/22.75      inference(rewriting,[status(thm)],[c_14805]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_274,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.75      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.75      | ~ c_less(c_0,X2,X0)
% 21.66/22.75      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 21.66/22.75      | c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 21.66/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8434_0) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14791,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.75      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.75      | ~ c_less(c_0,X2,X0)
% 21.66/22.75      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 21.66/22.75      | c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 21.66/22.75      inference(copy,[status(esa)],[c_274]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14792,plain,
% 21.66/22.75      ( ~ c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 21.66/22.75      | ~ c_less(c_0,X0,X2)
% 21.66/22.75      | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 21.66/22.75      | ~ c_less(X3,c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.66/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 21.66/22.75      | ~ class_Numeral_Onumber(X2) ),
% 21.66/22.75      inference(rewriting,[status(thm)],[c_14791]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_267,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.75      | ~ c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.75      | ~ c_lessequals(c_0,X2,X0)
% 21.66/22.75      | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 21.66/22.75      | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 21.66/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8433_0) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14777,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.75      | ~ c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.75      | ~ c_lessequals(c_0,X2,X0)
% 21.66/22.75      | ~ c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 21.66/22.75      | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 21.66/22.75      inference(copy,[status(esa)],[c_267]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14778,plain,
% 21.66/22.75      ( ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 21.66/22.75      | ~ c_lessequals(c_0,X0,X2)
% 21.66/22.75      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 21.66/22.75      | ~ c_lessequals(X3,c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.66/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 21.66/22.75      | ~ class_Numeral_Onumber(X2) ),
% 21.66/22.75      inference(rewriting,[status(thm)],[c_14777]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_253,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.75      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.75      | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 21.66/22.75      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 21.66/22.75      | c_less(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 21.66/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8429_0) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14749,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.75      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.75      | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 21.66/22.75      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 21.66/22.75      | c_less(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X0) ),
% 21.66/22.75      inference(copy,[status(esa)],[c_253]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14750,plain,
% 21.66/22.75      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.66/22.75      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 21.66/22.75      | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.66/22.75      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.66/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.66/22.75      | ~ class_Numeral_Onumber(X1) ),
% 21.66/22.75      inference(rewriting,[status(thm)],[c_14749]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_246,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.75      | ~ c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 21.66/22.75      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 21.66/22.75      | c_lessequals(X3,c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 21.66/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8428_0) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14735,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.66/22.75      | ~ c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 21.66/22.75      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 21.66/22.75      | c_lessequals(X3,c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 21.66/22.75      inference(copy,[status(esa)],[c_246]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14736,plain,
% 21.66/22.75      ( ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 21.66/22.75      | ~ c_lessequals(X3,c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.66/22.75      | c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.66/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.66/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 21.66/22.75      | ~ class_Numeral_Onumber(X2) ),
% 21.66/22.75      inference(rewriting,[status(thm)],[c_14735]) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_239,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.66/22.75      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.66/22.75      | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 21.66/22.75      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 21.66/22.75      | c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 21.66/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8427_0) ).
% 21.66/22.75  
% 21.66/22.75  cnf(c_14721,plain,
% 21.66/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.66/22.75      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.81/22.75      | ~ c_less(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.81/22.75      | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 21.81/22.75      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 21.81/22.75      | c_less(c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 21.81/22.75      inference(copy,[status(esa)],[c_239]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14722,plain,
% 21.81/22.75      ( ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.81/22.75      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 21.81/22.75      | c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 21.81/22.75      | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.81/22.75      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.81/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.81/22.75      | ~ class_Numeral_Onumber(X1) ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14721]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_232,plain,
% 21.81/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.81/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.81/22.75      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.81/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.81/22.75      | ~ c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 21.81/22.75      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 21.81/22.75      | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0) ),
% 21.81/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8426_0) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14707,plain,
% 21.81/22.75      ( ~ class_Numeral_Onumber(X0)
% 21.81/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.81/22.75      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.81/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 21.81/22.75      | ~ c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 21.81/22.75      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 21.81/22.75      | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0) ),
% 21.81/22.75      inference(copy,[status(esa)],[c_232]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14708,plain,
% 21.81/22.75      ( ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 21.81/22.75      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 21.81/22.75      | ~ c_lessequals(X3,c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.81/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 21.81/22.75      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.81/22.75      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 21.81/22.75      | ~ class_Numeral_Onumber(X2) ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14707]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_225,plain,
% 21.81/22.75      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8423_0) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14693,plain,
% 21.81/22.75      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      inference(copy,[status(esa)],[c_225]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14694,plain,
% 21.81/22.75      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14693]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_218,plain,
% 21.81/22.75      ( ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 21.81/22.75      | ~ c_Divides_Oop_Advd(X0,X2,tc_nat)
% 21.81/22.75      | c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat) ),
% 21.81/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8420_0) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14679,plain,
% 21.81/22.75      ( ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 21.81/22.75      | ~ c_Divides_Oop_Advd(X0,X2,tc_nat)
% 21.81/22.75      | c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat) ),
% 21.81/22.75      inference(copy,[status(esa)],[c_218]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14680,plain,
% 21.81/22.75      ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 21.81/22.75      | ~ c_Divides_Oop_Advd(X0,X2,tc_nat)
% 21.81/22.75      | ~ c_Divides_Oop_Advd(X0,X1,tc_nat) ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14679]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_213,plain,
% 21.81/22.75      ( 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))
% 21.81/22.75      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat)
% 21.81/22.75      | ~ c_less(X1,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 21.81/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8417_2) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14669,plain,
% 21.81/22.75      ( 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))
% 21.81/22.75      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat)
% 21.81/22.75      | ~ c_less(X1,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 21.81/22.75      inference(copy,[status(esa)],[c_213]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14670,plain,
% 21.81/22.75      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 21.81/22.75      | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat)
% 21.81/22.75      | 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)) ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14669]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_205,plain,
% 21.81/22.75      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | 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)) ),
% 21.81/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8415_0) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14653,plain,
% 21.81/22.75      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | 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)) ),
% 21.81/22.75      inference(copy,[status(esa)],[c_205]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14654,plain,
% 21.81/22.75      ( ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | 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)) ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14653]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_202,plain,
% 21.81/22.75      ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 21.81/22.75      | ~ c_in(X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 21.81/22.75      | 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))) ),
% 21.81/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8414_0) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14647,plain,
% 21.81/22.75      ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 21.81/22.75      | ~ c_in(X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 21.81/22.75      | 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))) ),
% 21.81/22.75      inference(copy,[status(esa)],[c_202]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14648,plain,
% 21.81/22.75      ( 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)))
% 21.81/22.75      | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 21.81/22.75      | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14647]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_195,plain,
% 21.81/22.75      ( ~ c_in(X0,X1,X2)
% 21.81/22.75      | ~ c_in(c_Pair(X0,X3,X2,X4),X5,tc_prod(X2,X4))
% 21.81/22.75      | c_in(X3,c_Relation_OImage(X5,X1,X2,X4),X4) ),
% 21.81/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8411_0) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14633,plain,
% 21.81/22.75      ( ~ c_in(X0,X1,X2)
% 21.81/22.75      | ~ c_in(c_Pair(X0,X3,X2,X4),X5,tc_prod(X2,X4))
% 21.81/22.75      | c_in(X3,c_Relation_OImage(X5,X1,X2,X4),X4) ),
% 21.81/22.75      inference(copy,[status(esa)],[c_195]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14634,plain,
% 21.81/22.75      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 21.81/22.75      | c_in(X1,c_Relation_OImage(X4,X5,X2,X3),X3)
% 21.81/22.75      | ~ c_in(X0,X5,X2) ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14633]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_190,plain,
% 21.81/22.75      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8409_0) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14623,plain,
% 21.81/22.75      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      inference(copy,[status(esa)],[c_190]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14624,plain,
% 21.81/22.75      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14623]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_187,plain,
% 21.81/22.75      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8408_0) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14617,plain,
% 21.81/22.75      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      inference(copy,[status(esa)],[c_187]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14618,plain,
% 21.81/22.75      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14617]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_184,plain,
% 21.81/22.75      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8407_0) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14611,plain,
% 21.81/22.75      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      inference(copy,[status(esa)],[c_184]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14612,plain,
% 21.81/22.75      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14611]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_181,plain,
% 21.81/22.75      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8406_0) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14605,plain,
% 21.81/22.75      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      inference(copy,[status(esa)],[c_181]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14606,plain,
% 21.81/22.75      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14605]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_178,plain,
% 21.81/22.75      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | ~ 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)
% 21.81/22.75      | 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)) ),
% 21.81/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8405_0) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14599,plain,
% 21.81/22.75      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | ~ 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)
% 21.81/22.75      | 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)) ),
% 21.81/22.75      inference(copy,[status(esa)],[c_178]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14600,plain,
% 21.81/22.75      ( ~ 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)
% 21.81/22.75      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | 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)) ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14599]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_173,plain,
% 21.81/22.75      ( 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)
% 21.81/22.75      | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3))
% 21.81/22.75      | c_Nat_Osize(X4,tc_List_Olist(X2)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 21.81/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8402_2) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14589,plain,
% 21.81/22.75      ( 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)
% 21.81/22.75      | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3))
% 21.81/22.75      | c_Nat_Osize(X4,tc_List_Olist(X2)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 21.81/22.75      inference(copy,[status(esa)],[c_173]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14590,plain,
% 21.81/22.75      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 21.81/22.75      | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3))
% 21.81/22.75      | 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) ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14589]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_138,plain,
% 21.81/22.75      ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 21.81/22.75      | c_in(c_Main_OPlusE__1(X1,X0,X3,X4),X1,X3)
% 21.81/22.75      | c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X0,X4,X3),X4,X3) = X0 ),
% 21.81/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8388_0) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14519,plain,
% 21.81/22.75      ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 21.81/22.75      | c_in(c_Main_OPlusE__1(X1,X0,X3,X4),X1,X3)
% 21.81/22.75      | c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X0,X4,X3),X4,X3) = X0 ),
% 21.81/22.75      inference(copy,[status(esa)],[c_138]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14520,plain,
% 21.81/22.75      ( c_in(c_Main_OPlusE__1(X0,X1,X2,X3),X0,X2)
% 21.81/22.75      | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3))
% 21.81/22.75      | c_Sum__Type_OInr(c_Main_OPlusE__2(X4,X1,X3,X2),X3,X2) = X1 ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14519]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_135,plain,
% 21.81/22.75      ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 21.81/22.75      | c_in(c_Main_OPlusE__2(X2,X0,X4,X3),X2,X4)
% 21.81/22.75      | c_Sum__Type_OInl(c_Main_OPlusE__1(X1,X0,X3,X4),X3,X4) = X0 ),
% 21.81/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8387_0) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14513,plain,
% 21.81/22.75      ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 21.81/22.75      | c_in(c_Main_OPlusE__2(X2,X0,X4,X3),X2,X4)
% 21.81/22.75      | c_Sum__Type_OInl(c_Main_OPlusE__1(X1,X0,X3,X4),X3,X4) = X0 ),
% 21.81/22.75      inference(copy,[status(esa)],[c_135]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14514,plain,
% 21.81/22.75      ( c_in(c_Main_OPlusE__2(X0,X1,X2,X3),X0,X2)
% 21.81/22.75      | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2))
% 21.81/22.75      | c_Sum__Type_OInl(c_Main_OPlusE__1(X4,X1,X3,X2),X3,X2) = X1 ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14513]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_127,plain,
% 21.81/22.75      ( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 21.81/22.75      | c_Nat_Osize(X4,tc_List_Olist(X2)) != c_Nat_Osize(X5,tc_List_Olist(X2))
% 21.81/22.75      | 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))) ),
% 21.81/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8384_0) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14497,plain,
% 21.81/22.75      ( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 21.81/22.75      | c_Nat_Osize(X4,tc_List_Olist(X2)) != c_Nat_Osize(X5,tc_List_Olist(X2))
% 21.81/22.75      | 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))) ),
% 21.81/22.75      inference(copy,[status(esa)],[c_127]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14498,plain,
% 21.81/22.75      ( 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)))
% 21.81/22.75      | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 21.81/22.75      | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X4,tc_List_Olist(X2)) ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14497]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_115,plain,
% 21.81/22.75      ( ~ c_in(X0,c_Datatype__Universe_Ousum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 21.81/22.75      | c_in(c_Main_OusumE__1(X1,X0,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 21.81/22.75      | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X0,X3,X4),X3,X4) = X0 ),
% 21.81/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8379_0) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14473,plain,
% 21.81/22.75      ( ~ c_in(X0,c_Datatype__Universe_Ousum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 21.81/22.75      | c_in(c_Main_OusumE__1(X1,X0,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 21.81/22.75      | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X0,X3,X4),X3,X4) = X0 ),
% 21.81/22.75      inference(copy,[status(esa)],[c_115]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14474,plain,
% 21.81/22.75      ( c_in(c_Main_OusumE__1(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 21.81/22.75      | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 21.81/22.75      | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X4,X1,X2,X3),X2,X3) = X1 ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14473]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_112,plain,
% 21.81/22.75      ( ~ c_in(X0,c_Datatype__Universe_Ousum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 21.81/22.75      | c_in(c_Main_OusumE__2(X2,X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 21.81/22.75      | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X1,X0,X3,X4),X3,X4) = X0 ),
% 21.81/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8378_0) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14467,plain,
% 21.81/22.75      ( ~ c_in(X0,c_Datatype__Universe_Ousum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 21.81/22.75      | c_in(c_Main_OusumE__2(X2,X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 21.81/22.75      | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X1,X0,X3,X4),X3,X4) = X0 ),
% 21.81/22.75      inference(copy,[status(esa)],[c_112]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14468,plain,
% 21.81/22.75      ( c_in(c_Main_OusumE__2(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 21.81/22.75      | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 21.81/22.75      | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X4,X1,X2,X3),X2,X3) = X1 ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14467]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_77,plain,
% 21.81/22.75      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8364_0) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14397,plain,
% 21.81/22.75      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      inference(copy,[status(esa)],[c_77]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14398,plain,
% 21.81/22.75      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14397]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_74,plain,
% 21.81/22.75      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8363_0) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14391,plain,
% 21.81/22.75      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      inference(copy,[status(esa)],[c_74]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14392,plain,
% 21.81/22.75      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14391]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_71,plain,
% 21.81/22.75      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8362_0) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14385,plain,
% 21.81/22.75      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      inference(copy,[status(esa)],[c_71]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14386,plain,
% 21.81/22.75      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14385]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_68,plain,
% 21.81/22.75      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8361_0) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14379,plain,
% 21.81/22.75      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      inference(copy,[status(esa)],[c_68]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14380,plain,
% 21.81/22.75      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.81/22.75      | 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) ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14379]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_54,plain,
% 21.81/22.75      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | 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)) ),
% 21.81/22.75      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8355_0) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14351,plain,
% 21.81/22.75      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | 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)) ),
% 21.81/22.75      inference(copy,[status(esa)],[c_54]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_14352,plain,
% 21.81/22.75      ( c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | 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)) ),
% 21.81/22.75      inference(rewriting,[status(thm)],[c_14351]) ).
% 21.81/22.75  
% 21.81/22.75  cnf(c_51,plain,
% 21.81/22.75      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.75      | 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)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8354_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_14345,plain,
% 21.81/22.76      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.76      | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.76      | 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)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_51]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_14346,plain,
% 21.81/22.76      ( c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.76      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.76      | 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)) ),
% 21.81/22.76      inference(rewriting,[status(thm)],[c_14345]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_48,plain,
% 21.81/22.76      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.76      | 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)
% 21.81/22.76      | 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)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8353_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_14339,plain,
% 21.81/22.76      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.76      | 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)
% 21.81/22.76      | 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)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_48]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_14340,plain,
% 21.81/22.76      ( 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)
% 21.81/22.76      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.81/22.76      | 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)) ),
% 21.81/22.76      inference(rewriting,[status(thm)],[c_14339]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_43,plain,
% 21.81/22.76      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 21.81/22.76      | ~ c_in(c_Pair(X5,X0,X6,X2),X7,tc_prod(X6,X2))
% 21.81/22.76      | c_in(c_Pair(X5,X1,X6,X3),c_Relation_Orel__comp(X4,X7,X2,X3,X6),tc_prod(X6,X3)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8351_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_14329,plain,
% 21.81/22.76      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 21.81/22.76      | ~ c_in(c_Pair(X5,X0,X6,X2),X7,tc_prod(X6,X2))
% 21.81/22.76      | c_in(c_Pair(X5,X1,X6,X3),c_Relation_Orel__comp(X4,X7,X2,X3,X6),tc_prod(X6,X3)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_43]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_14330,plain,
% 21.81/22.76      ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 21.81/22.76      | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3))
% 21.81/22.76      | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6)) ),
% 21.81/22.76      inference(rewriting,[status(thm)],[c_14329]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25,plain,
% 21.81/22.76      ( ~ 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))))
% 21.81/22.76      | ~ 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))))
% 21.81/22.76      | 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)))) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8343_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_14293,plain,
% 21.81/22.76      ( ~ 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))))
% 21.81/22.76      | ~ 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))))
% 21.81/22.76      | 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)))) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_25]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_14294,plain,
% 21.81/22.76      ( 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))))
% 21.81/22.76      | ~ 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))))
% 21.81/22.76      | ~ 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)))) ),
% 21.81/22.76      inference(rewriting,[status(thm)],[c_14293]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_18,plain,
% 21.81/22.76      ( ~ 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))))
% 21.81/22.76      | 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))))
% 21.81/22.76      | 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 ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8340_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_14279,plain,
% 21.81/22.76      ( ~ 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))))
% 21.81/22.76      | 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))))
% 21.81/22.76      | 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 ),
% 21.81/22.76      inference(copy,[status(esa)],[c_18]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_14280,plain,
% 21.81/22.76      ( 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))))
% 21.81/22.76      | ~ 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))))
% 21.81/22.76      | 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 ),
% 21.81/22.76      inference(rewriting,[status(thm)],[c_14279]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_15,plain,
% 21.81/22.76      ( ~ 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))))
% 21.81/22.76      | 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))))
% 21.81/22.76      | 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 ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8339_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_14273,plain,
% 21.81/22.76      ( ~ 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))))
% 21.81/22.76      | 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))))
% 21.81/22.76      | 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 ),
% 21.81/22.76      inference(copy,[status(esa)],[c_15]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_14274,plain,
% 21.81/22.76      ( 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))))
% 21.81/22.76      | ~ 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))))
% 21.81/22.76      | 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 ),
% 21.81/22.76      inference(rewriting,[status(thm)],[c_14273]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5987,plain,
% 21.81/22.76      ( c_times(X0,c_0,tc_nat) = c_times(X1,c_0,tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2654_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25810,plain,
% 21.81/22.76      ( c_times(X0,c_0,tc_nat) = c_times(X1,c_0,tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5987]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5986,plain,
% 21.81/22.76      ( c_times(c_0,X0,tc_nat) = c_times(c_0,X1,tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2655_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25808,plain,
% 21.81/22.76      ( c_times(c_0,X0,tc_nat) = c_times(c_0,X1,tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5986]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5949,plain,
% 21.81/22.76      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2612_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25770,plain,
% 21.81/22.76      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5949]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5948,plain,
% 21.81/22.76      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2613_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25768,plain,
% 21.81/22.76      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5948]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5947,plain,
% 21.81/22.76      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OAtom(X4,X2,X3) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2614_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25766,plain,
% 21.81/22.76      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OAtom(X4,X2,X3) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5947]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5946,plain,
% 21.81/22.76      ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2615_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25764,plain,
% 21.81/22.76      ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5946]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5945,plain,
% 21.81/22.76      ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2616_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25762,plain,
% 21.81/22.76      ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5945]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5944,plain,
% 21.81/22.76      ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2617_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25760,plain,
% 21.81/22.76      ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5944]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5943,plain,
% 21.81/22.76      ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInl(X3,X2,X1) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2618_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25758,plain,
% 21.81/22.76      ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInl(X3,X2,X1) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5943]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5942,plain,
% 21.81/22.76      ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInr(X3,X2,X1) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2619_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25756,plain,
% 21.81/22.76      ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInr(X3,X2,X1) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5942]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5928,plain,
% 21.81/22.76      ( 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))) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2633_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25741,plain,
% 21.81/22.76      ( 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))) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5928]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5914,plain,
% 21.81/22.76      ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2647_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25726,plain,
% 21.81/22.76      ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5914]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5913,plain,
% 21.81/22.76      ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2648_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25724,plain,
% 21.81/22.76      ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5913]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5912,plain,
% 21.81/22.76      ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2649_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25722,plain,
% 21.81/22.76      ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5912]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5911,plain,
% 21.81/22.76      ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2650_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25720,plain,
% 21.81/22.76      ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5911]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5907,plain,
% 21.81/22.76      ( c_insert(X0,X1,X2) != c_emptyset ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2656_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25715,plain,
% 21.81/22.76      ( c_insert(X0,X1,X2) != c_emptyset ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5907]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5906,plain,
% 21.81/22.76      ( c_in(X0,c_insert(X0,X1,X2),X2) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2657_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25713,plain,
% 21.81/22.76      ( c_in(X0,c_insert(X0,X1,X2),X2) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5906]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5903,plain,
% 21.81/22.76      ( c_emptyset != c_insert(X0,X1,X2) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2660_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25709,plain,
% 21.81/22.76      ( c_emptyset != c_insert(X0,X1,X2) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5903]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5873,plain,
% 21.81/22.76      ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2690_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25678,plain,
% 21.81/22.76      ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5873]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5860,plain,
% 21.81/22.76      ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X0,X1,X2),X2) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2703_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25664,plain,
% 21.81/22.76      ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X0,X1,X2),X2) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5860]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5859,plain,
% 21.81/22.76      ( ~ c_List_Onull(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2704_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25662,plain,
% 21.81/22.76      ( ~ c_List_Onull(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5859]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5857,plain,
% 21.81/22.76      ( X0 != c_List_Olist_OCons(X1,X0,X2) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2706_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25659,plain,
% 21.81/22.76      ( X0 != c_List_Olist_OCons(X1,X0,X2) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5857]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5852,plain,
% 21.81/22.76      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2711_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25653,plain,
% 21.81/22.76      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5852]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5851,plain,
% 21.81/22.76      ( c_List_Olist_ONil != c_List_Olist_OCons(X0,X1,X2) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2712_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25651,plain,
% 21.81/22.76      ( c_List_Olist_ONil != c_List_Olist_OCons(X0,X1,X2) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5851]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5850,plain,
% 21.81/22.76      ( ~ 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))) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2713_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25649,plain,
% 21.81/22.76      ( ~ 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))) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5850]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5836,plain,
% 21.81/22.76      ( ~ 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))) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2727_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25634,plain,
% 21.81/22.76      ( ~ 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))) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5836]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5835,plain,
% 21.81/22.76      ( ~ 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))) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2728_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25632,plain,
% 21.81/22.76      ( ~ 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))) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5835]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5823,plain,
% 21.81/22.76      ( c_in(c_Pair(X0,X0,X1,X1),c_Transitive__Closure_Ortrancl(X2,X1),tc_prod(X1,X1)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2740_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25619,plain,
% 21.81/22.76      ( c_in(c_Pair(X0,X0,X1,X1),c_Transitive__Closure_Ortrancl(X2,X1),tc_prod(X1,X1)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5823]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5812,plain,
% 21.81/22.76      ( c_lessequals(X0,c_UNIV,tc_set(X1)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2751_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25607,plain,
% 21.81/22.76      ( c_lessequals(X0,c_UNIV,tc_set(X1)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5812]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5811,plain,
% 21.81/22.76      ( ~ c_less(X0,c_emptyset,tc_set(X1)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2752_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25605,plain,
% 21.81/22.76      ( ~ c_less(X0,c_emptyset,tc_set(X1)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5811]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5810,plain,
% 21.81/22.76      ( ~ c_in(X0,c_emptyset,X1) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2753_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25603,plain,
% 21.81/22.76      ( ~ c_in(X0,c_emptyset,X1) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5810]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5780,plain,
% 21.81/22.76      ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2783_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25572,plain,
% 21.81/22.76      ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5780]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5766,plain,
% 21.81/22.76      ( ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2797_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25557,plain,
% 21.81/22.76      ( ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5766]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5765,plain,
% 21.81/22.76      ( ~ c_less(c_plus(X0,X1,tc_nat),X0,tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2798_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25555,plain,
% 21.81/22.76      ( ~ c_less(c_plus(X0,X1,tc_nat),X0,tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5765]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5761,plain,
% 21.81/22.76      ( c_lessequals(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2802_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25550,plain,
% 21.81/22.76      ( c_lessequals(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5761]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5738,plain,
% 21.81/22.76      ( ~ c_List_Oop_Amem(X0,c_List_Olist_ONil,X1) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2825_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25526,plain,
% 21.81/22.76      ( ~ c_List_Oop_Amem(X0,c_List_Olist_ONil,X1) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5738]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5724,plain,
% 21.81/22.76      ( c_List_Odistinct(c_List_Oupt(X0,X1),tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2839_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25511,plain,
% 21.81/22.76      ( c_List_Odistinct(c_List_Oupt(X0,X1),tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5724]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5714,plain,
% 21.81/22.76      ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2849_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25500,plain,
% 21.81/22.76      ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5714]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5707,plain,
% 21.81/22.76      ( ~ c_less(c_IntDef_Oint(X0),c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2856_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25492,plain,
% 21.81/22.76      ( ~ c_less(c_IntDef_Oint(X0),c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5707]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5706,plain,
% 21.81/22.76      ( 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))) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2857_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25490,plain,
% 21.81/22.76      ( 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))) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5706]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5691,plain,
% 21.81/22.76      ( c_lessequals(c_div(X0,X1,tc_nat),X0,tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2872_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25474,plain,
% 21.81/22.76      ( c_lessequals(c_div(X0,X1,tc_nat),X0,tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5691]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5686,plain,
% 21.81/22.76      ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_ONone ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2877_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25468,plain,
% 21.81/22.76      ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_ONone ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5686]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5685,plain,
% 21.81/22.76      ( c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X0,X1) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2878_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25466,plain,
% 21.81/22.76      ( c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X0,X1) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5685]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5683,plain,
% 21.81/22.76      ( c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2880_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25463,plain,
% 21.81/22.76      ( c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5683]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5681,plain,
% 21.81/22.76      ( class_Nat_Opower(tc_fun(X0,X1)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2882_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25460,plain,
% 21.81/22.76      ( class_Nat_Opower(tc_fun(X0,X1)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5681]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5680,plain,
% 21.81/22.76      ( c_lessequals(X0,X0,tc_set(X1)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2883_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25458,plain,
% 21.81/22.76      ( c_lessequals(X0,X0,tc_set(X1)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5680]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5679,plain,
% 21.81/22.76      ( c_in(X0,c_insert(X0,c_emptyset,X1),X1) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2884_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25456,plain,
% 21.81/22.76      ( c_in(X0,c_insert(X0,c_emptyset,X1),X1) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5679]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5678,plain,
% 21.81/22.76      ( c_lessequals(c_emptyset,X0,tc_set(X1)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2885_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25454,plain,
% 21.81/22.76      ( c_lessequals(c_emptyset,X0,tc_set(X1)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5678]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5677,plain,
% 21.81/22.76      ( c_in(X0,c_UNIV,X1) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2886_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25452,plain,
% 21.81/22.76      ( c_in(X0,c_UNIV,X1) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5677]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5676,plain,
% 21.81/22.76      ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2887_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25450,plain,
% 21.81/22.76      ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5676]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5675,plain,
% 21.81/22.76      ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2888_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25448,plain,
% 21.81/22.76      ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5675]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5674,plain,
% 21.81/22.76      ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2889_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25446,plain,
% 21.81/22.76      ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5674]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5673,plain,
% 21.81/22.76      ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2890_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25444,plain,
% 21.81/22.76      ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5673]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5672,plain,
% 21.81/22.76      ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2891_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25442,plain,
% 21.81/22.76      ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5672]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5671,plain,
% 21.81/22.76      ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2892_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25440,plain,
% 21.81/22.76      ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5671]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5670,plain,
% 21.81/22.76      ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2893_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25438,plain,
% 21.81/22.76      ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5670]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5669,plain,
% 21.81/22.76      ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2894_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25436,plain,
% 21.81/22.76      ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5669]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5668,plain,
% 21.81/22.76      ( c_in(c_List_Olist_ONil,c_List_Olists(X0,X1),tc_List_Olist(X1)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2895_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25434,plain,
% 21.81/22.76      ( c_in(c_List_Olist_ONil,c_List_Olists(X0,X1),tc_List_Olist(X1)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5668]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5667,plain,
% 21.81/22.76      ( c_lessequals(c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)),c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2896_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25432,plain,
% 21.81/22.76      ( c_lessequals(c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)),c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5667]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5666,plain,
% 21.81/22.76      ( c_in(c_List_Oset(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2897_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25430,plain,
% 21.81/22.76      ( c_in(c_List_Oset(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5666]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5665,plain,
% 21.81/22.76      ( c_List_Odistinct(c_List_Oremdups(X0,X1),X1) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2898_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25428,plain,
% 21.81/22.76      ( c_List_Odistinct(c_List_Oremdups(X0,X1),X1) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5665]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5664,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2899_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25426,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5664]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5663,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2900_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25424,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5663]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5662,plain,
% 21.81/22.76      ( c_less(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2901_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25422,plain,
% 21.81/22.76      ( c_less(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5662]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5661,plain,
% 21.81/22.76      ( c_lessequals(c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2902_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25420,plain,
% 21.81/22.76      ( c_lessequals(c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5661]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5660,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X1,tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2903_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25418,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X1,tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5660]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5659,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X0,tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2904_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25416,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X0,tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5659]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5658,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_nat),tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2905_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25414,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_nat),tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5658]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5657,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_nat),tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2906_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25412,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_nat),tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5657]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5654,plain,
% 21.81/22.76      ( c_lessequals(c_emptyset,c_emptyset,tc_set(X0)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2909_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25408,plain,
% 21.81/22.76      ( c_lessequals(c_emptyset,c_emptyset,tc_set(X0)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5654]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5635,plain,
% 21.81/22.76      ( c_less(c_0,c_Nat_Opower(X0,c_0,tc_nat),tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2928_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25388,plain,
% 21.81/22.76      ( c_less(c_0,c_Nat_Opower(X0,c_0,tc_nat),tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5635]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5619,plain,
% 21.81/22.76      ( ~ c_less(X0,c_0,tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2944_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25371,plain,
% 21.81/22.76      ( ~ c_less(X0,c_0,tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5619]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5610,plain,
% 21.81/22.76      ( c_0 != c_Suc(X0) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2953_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25361,plain,
% 21.81/22.76      ( c_0 != c_Suc(X0) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5610]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5609,plain,
% 21.81/22.76      ( c_Suc(X0) != c_0 ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2954_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25359,plain,
% 21.81/22.76      ( c_Suc(X0) != c_0 ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5609]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5593,plain,
% 21.81/22.76      ( c_List_Onull(c_List_Olist_ONil,X0) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2970_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25342,plain,
% 21.81/22.76      ( c_List_Onull(c_List_Olist_ONil,X0) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5593]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5590,plain,
% 21.81/22.76      ( ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X0)),tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2973_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25338,plain,
% 21.81/22.76      ( ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X0)),tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5590]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5588,plain,
% 21.81/22.76      ( c_List_Odistinct(c_List_Olist_ONil,X0) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2975_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25335,plain,
% 21.81/22.76      ( c_List_Odistinct(c_List_Olist_ONil,X0) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5588]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5578,plain,
% 21.81/22.76      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2985_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25324,plain,
% 21.81/22.76      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5578]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5577,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(X0,X0,tc_IntDef_Oint) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2986_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25322,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(X0,X0,tc_IntDef_Oint) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5577]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5569,plain,
% 21.81/22.76      ( c_lessequals(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2994_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25313,plain,
% 21.81/22.76      ( c_lessequals(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5569]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5568,plain,
% 21.81/22.76      ( ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2995_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25311,plain,
% 21.81/22.76      ( ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5568]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5567,plain,
% 21.81/22.76      ( ~ c_IntDef_Oneg(c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2996_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25309,plain,
% 21.81/22.76      ( ~ c_IntDef_Oneg(c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5567]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5566,plain,
% 21.81/22.76      ( c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_2997_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25307,plain,
% 21.81/22.76      ( c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5566]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5563,plain,
% 21.81/22.76      ( ~ c_less(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3000_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25303,plain,
% 21.81/22.76      ( ~ c_less(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5563]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5550,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(X0,X0,tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3013_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25289,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(X0,X0,tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5550]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5538,plain,
% 21.81/22.76      ( class_Nat_Opower(tc_set(X0)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3025_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25276,plain,
% 21.81/22.76      ( class_Nat_Opower(tc_set(X0)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5538]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5537,plain,
% 21.81/22.76      ( class_Orderings_Oorder(tc_set(X0)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3026_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25274,plain,
% 21.81/22.76      ( class_Orderings_Oorder(tc_set(X0)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5537]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5536,plain,
% 21.81/22.76      ( class_Orderings_Oord(tc_set(X0)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3027_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25272,plain,
% 21.81/22.76      ( class_Orderings_Oord(tc_set(X0)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5536]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5535,plain,
% 21.81/22.76      ( class_HOL_Ominus(tc_set(X0)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3028_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25270,plain,
% 21.81/22.76      ( class_HOL_Ominus(tc_set(X0)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5535]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5534,plain,
% 21.81/22.76      ( c_Wellfounded__Recursion_Owf(c_emptyset,X0) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3029_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25268,plain,
% 21.81/22.76      ( c_Wellfounded__Recursion_Owf(c_emptyset,X0) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5534]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5533,plain,
% 21.81/22.76      ( c_in(c_SetInterval_OlessThan(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3030_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25266,plain,
% 21.81/22.76      ( c_in(c_SetInterval_OlessThan(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5533]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5532,plain,
% 21.81/22.76      ( c_in(c_SetInterval_OatMost(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3031_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25264,plain,
% 21.81/22.76      ( c_in(c_SetInterval_OatMost(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5532]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5531,plain,
% 21.81/22.76      ( c_less(c_0,c_Suc(X0),tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3032_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25262,plain,
% 21.81/22.76      ( c_less(c_0,c_Suc(X0),tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5531]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5530,plain,
% 21.81/22.76      ( ~ c_less(X0,X0,tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3033_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25260,plain,
% 21.81/22.76      ( ~ c_less(X0,X0,tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5530]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5529,plain,
% 21.81/22.76      ( c_less(X0,c_Suc(X0),tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3034_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25258,plain,
% 21.81/22.76      ( c_less(X0,c_Suc(X0),tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5529]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5528,plain,
% 21.81/22.76      ( c_lessequals(c_0,X0,tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3035_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25256,plain,
% 21.81/22.76      ( c_lessequals(c_0,X0,tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5528]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5527,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(c_1,X0,tc_IntDef_Oint) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3036_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25254,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(c_1,X0,tc_IntDef_Oint) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5527]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5526,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(X0,c_0,tc_IntDef_Oint) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3037_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25252,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(X0,c_0,tc_IntDef_Oint) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5526]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5525,plain,
% 21.81/22.76      ( c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3038_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25250,plain,
% 21.81/22.76      ( c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5525]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5524,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(c_Suc(c_0),X0,tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3039_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25248,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(c_Suc(c_0),X0,tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5524]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5523,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(X0,c_0,tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3040_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25246,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(X0,c_0,tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5523]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5522,plain,
% 21.81/22.76      ( c_UNIV != c_emptyset ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3041_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25244,plain,
% 21.81/22.76      ( c_UNIV != c_emptyset ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5522]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5518,plain,
% 21.81/22.76      ( ~ c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3045_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25239,plain,
% 21.81/22.76      ( ~ c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5518]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5517,plain,
% 21.81/22.76      ( c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3046_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25237,plain,
% 21.81/22.76      ( c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5517]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5516,plain,
% 21.81/22.76      ( c_Parity_Oeven(c_0,tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3047_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25235,plain,
% 21.81/22.76      ( c_Parity_Oeven(c_0,tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5516]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5513,plain,
% 21.81/22.76      ( c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0 ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3050_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25231,plain,
% 21.81/22.76      ( c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0 ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5513]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5512,plain,
% 21.81/22.76      ( c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1 ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3051_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25229,plain,
% 21.81/22.76      ( c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1 ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5512]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5502,plain,
% 21.81/22.76      ( ~ c_less(c_0,c_0,tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3061_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25218,plain,
% 21.81/22.76      ( ~ c_less(c_0,c_0,tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5502]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5500,plain,
% 21.81/22.76      ( c_less(c_0,c_1,tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3063_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25215,plain,
% 21.81/22.76      ( c_less(c_0,c_1,tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5500]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5499,plain,
% 21.81/22.76      ( c_less(c_0,c_Suc(c_0),tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3064_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25213,plain,
% 21.81/22.76      ( c_less(c_0,c_Suc(c_0),tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5499]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5498,plain,
% 21.81/22.76      ( c_lessequals(c_0,c_0,tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3065_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25211,plain,
% 21.81/22.76      ( c_lessequals(c_0,c_0,tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5498]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5477,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3086_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25189,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5477]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5474,plain,
% 21.81/22.76      ( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3089_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25185,plain,
% 21.81/22.76      ( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5474]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5471,plain,
% 21.81/22.76      ( c_0 != c_1 ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3092_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25181,plain,( c_0 != c_1 ),inference(copy,[status(esa)],[c_5471]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5470,plain,
% 21.81/22.76      ( c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3093_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25179,plain,
% 21.81/22.76      ( c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5470]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5468,plain,
% 21.81/22.76      ( ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3095_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25176,plain,
% 21.81/22.76      ( ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5468]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5465,plain,
% 21.81/22.76      ( c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3098_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25172,plain,
% 21.81/22.76      ( c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5465]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5464,plain,
% 21.81/22.76      ( c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3099_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25170,plain,
% 21.81/22.76      ( c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5464]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5463,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3100_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25168,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5463]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5462,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(c_0,c_0,tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3101_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25166,plain,
% 21.81/22.76      ( c_Divides_Oop_Advd(c_0,c_0,tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5462]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5460,plain,
% 21.81/22.76      ( class_HOL_Ominus(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3103_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25163,plain,
% 21.81/22.76      ( class_HOL_Ominus(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5460]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5459,plain,
% 21.81/22.76      ( class_Wellfounded__Recursion_Owellorder(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3104_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25161,plain,
% 21.81/22.76      ( class_Wellfounded__Recursion_Owellorder(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5459]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5458,plain,
% 21.81/22.76      ( class_Orderings_Olinorder(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3105_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25159,plain,
% 21.81/22.76      ( class_Orderings_Olinorder(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5458]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5457,plain,
% 21.81/22.76      ( class_LOrder_Olorder(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3106_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25157,plain,
% 21.81/22.76      ( class_LOrder_Olorder(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5457]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5456,plain,
% 21.81/22.76      ( class_LOrder_Ojoin__semilorder(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3107_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25155,plain,
% 21.81/22.76      ( class_LOrder_Ojoin__semilorder(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5456]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5455,plain,
% 21.81/22.76      ( class_Parity_Oeven__odd(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3108_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25153,plain,
% 21.81/22.76      ( class_Parity_Oeven__odd(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5455]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5454,plain,
% 21.81/22.76      ( class_Numeral_Onumber(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3109_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25151,plain,
% 21.81/22.76      ( class_Numeral_Onumber(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5454]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5453,plain,
% 21.81/22.76      ( class_Power_Orecpower(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3110_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25149,plain,
% 21.81/22.76      ( class_Power_Orecpower(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5453]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5452,plain,
% 21.81/22.76      ( class_Divides_Odiv(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3111_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25147,plain,
% 21.81/22.76      ( class_Divides_Odiv(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5452]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5451,plain,
% 21.81/22.76      ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3112_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25145,plain,
% 21.81/22.76      ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5451]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5450,plain,
% 21.81/22.76      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3113_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25143,plain,
% 21.81/22.76      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5450]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5449,plain,
% 21.81/22.76      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3114_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25141,plain,
% 21.81/22.76      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5449]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5448,plain,
% 21.81/22.76      ( class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3115_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25139,plain,
% 21.81/22.76      ( class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5448]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5447,plain,
% 21.81/22.76      ( class_LOrder_Omeet__semilorder(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3116_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25137,plain,
% 21.81/22.76      ( class_LOrder_Omeet__semilorder(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5447]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5446,plain,
% 21.81/22.76      ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3117_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25135,plain,
% 21.81/22.76      ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5446]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5445,plain,
% 21.81/22.76      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3118_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25133,plain,
% 21.81/22.76      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5445]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5444,plain,
% 21.81/22.76      ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3119_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25131,plain,
% 21.81/22.76      ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5444]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5443,plain,
% 21.81/22.76      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3120_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25129,plain,
% 21.81/22.76      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5443]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5442,plain,
% 21.81/22.76      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3121_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25127,plain,
% 21.81/22.76      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5442]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5441,plain,
% 21.81/22.76      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3122_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25125,plain,
% 21.81/22.76      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5441]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5440,plain,
% 21.81/22.76      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3123_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25123,plain,
% 21.81/22.76      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5440]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5439,plain,
% 21.81/22.76      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3124_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25121,plain,
% 21.81/22.76      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5439]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5438,plain,
% 21.81/22.76      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3125_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25119,plain,
% 21.81/22.76      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5438]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5437,plain,
% 21.81/22.76      ( class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3126_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25117,plain,
% 21.81/22.76      ( class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5437]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5436,plain,
% 21.81/22.76      ( class_Orderings_Oorder(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3127_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25115,plain,
% 21.81/22.76      ( class_Orderings_Oorder(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5436]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5435,plain,
% 21.81/22.76      ( class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3128_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25113,plain,
% 21.81/22.76      ( class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5435]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5434,plain,
% 21.81/22.76      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3129_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25111,plain,
% 21.81/22.76      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5434]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5433,plain,
% 21.81/22.76      ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3130_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25109,plain,
% 21.81/22.76      ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5433]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5432,plain,
% 21.81/22.76      ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3131_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25107,plain,
% 21.81/22.76      ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5432]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5431,plain,
% 21.81/22.76      ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3132_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25105,plain,
% 21.81/22.76      ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5431]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5430,plain,
% 21.81/22.76      ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3133_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25103,plain,
% 21.81/22.76      ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5430]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5429,plain,
% 21.81/22.76      ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3134_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25101,plain,
% 21.81/22.76      ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5429]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5428,plain,
% 21.81/22.76      ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3135_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25099,plain,
% 21.81/22.76      ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5428]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5427,plain,
% 21.81/22.76      ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3136_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25097,plain,
% 21.81/22.76      ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5427]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5426,plain,
% 21.81/22.76      ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3137_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25095,plain,
% 21.81/22.76      ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5426]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5425,plain,
% 21.81/22.76      ( class_Orderings_Oord(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3138_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25093,plain,
% 21.81/22.76      ( class_Orderings_Oord(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5425]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5424,plain,
% 21.81/22.76      ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3139_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25091,plain,
% 21.81/22.76      ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5424]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5423,plain,
% 21.81/22.76      ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3140_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25089,plain,
% 21.81/22.76      ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5423]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5422,plain,
% 21.81/22.76      ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3141_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25087,plain,
% 21.81/22.76      ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5422]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5421,plain,
% 21.81/22.76      ( class_OrderedGroup_Osemigroup__mult(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3142_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25085,plain,
% 21.81/22.76      ( class_OrderedGroup_Osemigroup__mult(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5421]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5420,plain,
% 21.81/22.76      ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3143_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25083,plain,
% 21.81/22.76      ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5420]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5419,plain,
% 21.81/22.76      ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3144_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25081,plain,
% 21.81/22.76      ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5419]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5418,plain,
% 21.81/22.76      ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3145_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25079,plain,
% 21.81/22.76      ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5418]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5417,plain,
% 21.81/22.76      ( class_Nat_Opower(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3146_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25077,plain,
% 21.81/22.76      ( class_Nat_Opower(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5417]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5416,plain,
% 21.81/22.76      ( class_HOL_Otimes(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3147_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25075,plain,
% 21.81/22.76      ( class_HOL_Otimes(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5416]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5415,plain,
% 21.81/22.76      ( class_HOL_Oplus(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3148_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25073,plain,
% 21.81/22.76      ( class_HOL_Oplus(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5415]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5414,plain,
% 21.81/22.76      ( class_HOL_Ozero(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3149_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25071,plain,
% 21.81/22.76      ( class_HOL_Ozero(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5414]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5413,plain,
% 21.81/22.76      ( class_HOL_Oone(tc_nat) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3150_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25069,plain,
% 21.81/22.76      ( class_HOL_Oone(tc_nat) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5413]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5412,plain,
% 21.81/22.76      ( class_Finite__Set_Ofinite(tc_bool) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3151_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25067,plain,
% 21.81/22.76      ( class_Finite__Set_Ofinite(tc_bool) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5412]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5411,plain,
% 21.81/22.76      ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3152_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25065,plain,
% 21.81/22.76      ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
% 21.81/22.76      inference(copy,[status(esa)],[c_5411]) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_5410,plain,
% 21.81/22.76      ( class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint) ),
% 21.81/22.76      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3153_0) ).
% 21.81/22.76  
% 21.81/22.76  cnf(c_25063,plain,
% 21.81/22.76      ( class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5410]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5409,plain,
% 21.81/22.77      ( class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3154_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25061,plain,
% 21.81/22.77      ( class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5409]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5408,plain,
% 21.81/22.77      ( class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3155_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25059,plain,
% 21.81/22.77      ( class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5408]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5407,plain,
% 21.81/22.77      ( class_Parity_Oeven__odd(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3156_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25057,plain,
% 21.81/22.77      ( class_Parity_Oeven__odd(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5407]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5406,plain,
% 21.81/22.77      ( class_Power_Orecpower(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3157_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25055,plain,
% 21.81/22.77      ( class_Power_Orecpower(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5406]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5405,plain,
% 21.81/22.77      ( class_Nat_Opower(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3158_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25053,plain,
% 21.81/22.77      ( class_Nat_Opower(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5405]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5404,plain,
% 21.81/22.77      ( class_Divides_Odiv(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3159_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25051,plain,
% 21.81/22.77      ( class_Divides_Odiv(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5404]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5403,plain,
% 21.81/22.77      ( class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3160_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25049,plain,
% 21.81/22.77      ( class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5403]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5402,plain,
% 21.81/22.77      ( class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3161_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25047,plain,
% 21.81/22.77      ( class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5402]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5401,plain,
% 21.81/22.77      ( class_Numeral_Onumber(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3162_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25045,plain,
% 21.81/22.77      ( class_Numeral_Onumber(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5401]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5400,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3163_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25043,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5400]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5399,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3164_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25041,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5399]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5398,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3165_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25039,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5398]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5397,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3166_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25037,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5397]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5396,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3167_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25035,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5396]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5395,plain,
% 21.81/22.77      ( class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3168_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25033,plain,
% 21.81/22.77      ( class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5395]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5394,plain,
% 21.81/22.77      ( class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3169_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25031,plain,
% 21.81/22.77      ( class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5394]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5393,plain,
% 21.81/22.77      ( class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3170_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25029,plain,
% 21.81/22.77      ( class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5393]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5392,plain,
% 21.81/22.77      ( class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3171_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25027,plain,
% 21.81/22.77      ( class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5392]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5391,plain,
% 21.81/22.77      ( class_Orderings_Oord(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3172_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25025,plain,
% 21.81/22.77      ( class_Orderings_Oord(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5391]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5390,plain,
% 21.81/22.77      ( class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3173_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25023,plain,
% 21.81/22.77      ( class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5390]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5389,plain,
% 21.81/22.77      ( class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3174_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25021,plain,
% 21.81/22.77      ( class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5389]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5388,plain,
% 21.81/22.77      ( class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3175_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25019,plain,
% 21.81/22.77      ( class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5388]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5387,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3176_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25017,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5387]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5386,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3177_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25015,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5386]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5385,plain,
% 21.81/22.77      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3178_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25013,plain,
% 21.81/22.77      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5385]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5384,plain,
% 21.81/22.77      ( class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3179_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25011,plain,
% 21.81/22.77      ( class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5384]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5383,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3180_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25009,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5383]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5382,plain,
% 21.81/22.77      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3181_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25007,plain,
% 21.81/22.77      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5382]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5381,plain,
% 21.81/22.77      ( class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3182_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25005,plain,
% 21.81/22.77      ( class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5381]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5380,plain,
% 21.81/22.77      ( class_HOL_Ozero(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3183_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25003,plain,
% 21.81/22.77      ( class_HOL_Ozero(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5380]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5379,plain,
% 21.81/22.77      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3184_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_25001,plain,
% 21.81/22.77      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5379]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5378,plain,
% 21.81/22.77      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3185_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24999,plain,
% 21.81/22.77      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5378]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5377,plain,
% 21.81/22.77      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3186_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24997,plain,
% 21.81/22.77      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5377]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5376,plain,
% 21.81/22.77      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3187_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24995,plain,
% 21.81/22.77      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5376]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5375,plain,
% 21.81/22.77      ( class_Orderings_Olinorder(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3188_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24993,plain,
% 21.81/22.77      ( class_Orderings_Olinorder(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5375]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5374,plain,
% 21.81/22.77      ( class_LOrder_Olorder(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3189_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24991,plain,
% 21.81/22.77      ( class_LOrder_Olorder(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5374]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5373,plain,
% 21.81/22.77      ( class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3190_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24989,plain,
% 21.81/22.77      ( class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5373]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5372,plain,
% 21.81/22.77      ( class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3191_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24987,plain,
% 21.81/22.77      ( class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5372]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5371,plain,
% 21.81/22.77      ( class_Orderings_Oorder(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3192_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24985,plain,
% 21.81/22.77      ( class_Orderings_Oorder(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5371]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5370,plain,
% 21.81/22.77      ( class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3193_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24983,plain,
% 21.81/22.77      ( class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5370]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5369,plain,
% 21.81/22.77      ( class_HOL_Otimes(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3194_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24981,plain,
% 21.81/22.77      ( class_HOL_Otimes(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5369]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5368,plain,
% 21.81/22.77      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3195_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24979,plain,
% 21.81/22.77      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5368]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5367,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3196_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24977,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5367]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5366,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3197_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24975,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5366]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5365,plain,
% 21.81/22.77      ( class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3198_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24973,plain,
% 21.81/22.77      ( class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5365]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5364,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3199_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24971,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5364]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5363,plain,
% 21.81/22.77      ( class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3200_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24969,plain,
% 21.81/22.77      ( class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5363]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5362,plain,
% 21.81/22.77      ( class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3201_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24967,plain,
% 21.81/22.77      ( class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5362]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5361,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3202_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24965,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5361]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5360,plain,
% 21.81/22.77      ( class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3203_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24963,plain,
% 21.81/22.77      ( class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5360]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5359,plain,
% 21.81/22.77      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3204_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24961,plain,
% 21.81/22.77      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5359]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5358,plain,
% 21.81/22.77      ( class_HOL_Oplus(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3205_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24959,plain,
% 21.81/22.77      ( class_HOL_Oplus(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5358]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5357,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3206_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24957,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5357]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5356,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3207_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24955,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5356]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5355,plain,
% 21.81/22.77      ( class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3208_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24953,plain,
% 21.81/22.77      ( class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5355]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5354,plain,
% 21.81/22.77      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3209_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24951,plain,
% 21.81/22.77      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5354]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5353,plain,
% 21.81/22.77      ( class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3210_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24949,plain,
% 21.81/22.77      ( class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5353]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5352,plain,
% 21.81/22.77      ( class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3211_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24947,plain,
% 21.81/22.77      ( class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5352]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5351,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3212_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24945,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5351]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5350,plain,
% 21.81/22.77      ( class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3213_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24943,plain,
% 21.81/22.77      ( class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5350]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5349,plain,
% 21.81/22.77      ( class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3214_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24941,plain,
% 21.81/22.77      ( class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5349]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5348,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3215_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24939,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5348]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5347,plain,
% 21.81/22.77      ( class_HOL_Oone(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3216_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24937,plain,
% 21.81/22.77      ( class_HOL_Oone(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5347]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5346,plain,
% 21.81/22.77      ( class_HOL_Ominus(tc_IntDef_Oint) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3217_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24935,plain,
% 21.81/22.77      ( class_HOL_Ominus(tc_IntDef_Oint) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5346]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5345,plain,
% 21.81/22.77      ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3218_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24933,plain,
% 21.81/22.77      ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5345]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5344,plain,
% 21.81/22.77      ( c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_3219_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24931,plain,
% 21.81/22.77      ( c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5344]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5340,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) | c_1 != c_0 ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10413_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24923,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) | c_1 != c_0 ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5340]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5338,plain,
% 21.81/22.77      ( c_IntDef_Oint(X0) != c_0 | X0 = c_0 ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10412_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24919,plain,
% 21.81/22.77      ( c_IntDef_Oint(X0) != c_0 | X0 = c_0 ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5338]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5336,plain,
% 21.81/22.77      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 21.81/22.77      | class_Orderings_Olinorder(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10411_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24915,plain,
% 21.81/22.77      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 21.81/22.77      | class_Orderings_Olinorder(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5336]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24916,plain,
% 21.81/22.77      ( class_Orderings_Olinorder(X0)
% 21.81/22.77      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24915]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5334,plain,
% 21.81/22.77      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 21.81/22.77      | class_LOrder_Olorder(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10410_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24911,plain,
% 21.81/22.77      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 21.81/22.77      | class_LOrder_Olorder(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5334]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24912,plain,
% 21.81/22.77      ( class_LOrder_Olorder(X0)
% 21.81/22.77      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24911]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5332,plain,
% 21.81/22.77      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 21.81/22.77      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10409_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24907,plain,
% 21.81/22.77      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 21.81/22.77      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5332]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24908,plain,
% 21.81/22.77      ( class_LOrder_Ojoin__semilorder(X0)
% 21.81/22.77      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24907]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5330,plain,
% 21.81/22.77      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 21.81/22.77      | class_LOrder_Omeet__semilorder(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10408_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24903,plain,
% 21.81/22.77      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 21.81/22.77      | class_LOrder_Omeet__semilorder(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5330]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24904,plain,
% 21.81/22.77      ( class_LOrder_Omeet__semilorder(X0)
% 21.81/22.77      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24903]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5328,plain,
% 21.81/22.77      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 21.81/22.77      | class_Orderings_Oorder(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10407_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24899,plain,
% 21.81/22.77      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 21.81/22.77      | class_Orderings_Oorder(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5328]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24900,plain,
% 21.81/22.77      ( class_Orderings_Oorder(X0)
% 21.81/22.77      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24899]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5326,plain,
% 21.81/22.77      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 21.81/22.77      | class_Orderings_Oord(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10406_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24895,plain,
% 21.81/22.77      ( ~ class_Wellfounded__Recursion_Owellorder(X0)
% 21.81/22.77      | class_Orderings_Oord(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5326]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24896,plain,
% 21.81/22.77      ( class_Orderings_Oord(X0)
% 21.81/22.77      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24895]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5324,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10405_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24891,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5324]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24892,plain,
% 21.81/22.77      ( class_OrderedGroup_Omonoid__mult(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24891]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5322,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_HOL_Oplus(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10404_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24887,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_HOL_Oplus(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5322]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24888,plain,
% 21.81/22.77      ( class_HOL_Oplus(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24887]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5320,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10403_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24883,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5320]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24884,plain,
% 21.81/22.77      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24883]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5318,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10402_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24879,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5318]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24880,plain,
% 21.81/22.77      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24879]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5316,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_HOL_Ozero(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10401_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24875,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_HOL_Ozero(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5316]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5314,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10400_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24871,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5314]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24872,plain,
% 21.81/22.77      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24871]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5312,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10399_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24867,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5312]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24868,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24867]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5310,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10398_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24863,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5310]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24864,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring__0(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24863]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5308,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10397_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24859,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5308]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24860,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24859]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5306,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10396_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24855,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5306]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24856,plain,
% 21.81/22.77      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24855]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5304,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10395_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24851,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5304]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24852,plain,
% 21.81/22.77      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24851]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5302,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_HOL_Otimes(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10394_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24847,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_HOL_Otimes(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5302]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5300,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10393_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24843,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5300]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5298,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_HOL_Oone(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10392_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24839,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_HOL_Oone(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5298]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24840,plain,
% 21.81/22.77      ( class_HOL_Oone(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24839]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5296,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10391_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24835,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5296]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24836,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24835]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5294,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10390_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24831,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5294]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24832,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring__1(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24831]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5292,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10389_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24827,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5292]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24828,plain,
% 21.81/22.77      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24827]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5290,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10388_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24823,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5290]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24824,plain,
% 21.81/22.77      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24823]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5288,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10387_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24819,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5288]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24820,plain,
% 21.81/22.77      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24819]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5286,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Otimes(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10386_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24815,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Otimes(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5286]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5284,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10385_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24811,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5284]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5282,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10384_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24807,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5282]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24808,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24807]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5280,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10383_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24803,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5280]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24804,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring__0(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24803]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5278,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Oone(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10382_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24799,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Oone(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5278]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24800,plain,
% 21.81/22.77      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24799]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5276,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10381_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24795,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5276]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24796,plain,
% 21.81/22.77      ( class_OrderedGroup_Omonoid__mult(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24795]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5274,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Oplus(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10380_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24791,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Oplus(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5274]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24792,plain,
% 21.81/22.77      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24791]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5272,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Ozero(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10379_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24787,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Ozero(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5272]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5270,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 21.81/22.77      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10378_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24783,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 21.81/22.77      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5270]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24784,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24783]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5268,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10377_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24779,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5268]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5266,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | class_HOL_Ozero(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10376_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24775,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | class_HOL_Ozero(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5266]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5264,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | class_HOL_Oplus(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10375_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24771,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | class_HOL_Oplus(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5264]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5262,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10374_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24767,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5262]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5260,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10373_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24763,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5260]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5258,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10372_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24759,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5258]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24760,plain,
% 21.81/22.77      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24759]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5256,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | class_HOL_Otimes(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10371_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24755,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | class_HOL_Otimes(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5256]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5254,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10370_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24751,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5254]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5252,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10369_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24747,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5252]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24748,plain,
% 21.81/22.77      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24747]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5250,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10368_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24743,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5250]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24744,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24743]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5248,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10367_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24739,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5248]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5246,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Ozero(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10366_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24735,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Ozero(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5246]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5244,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 21.81/22.77      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10365_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24731,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 21.81/22.77      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5244]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24732,plain,
% 21.81/22.77      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24731]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5242,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Otimes(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10364_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24727,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Otimes(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5242]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5240,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10363_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24723,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5240]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5238,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Oplus(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10362_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24719,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Oplus(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5238]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24720,plain,
% 21.81/22.77      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24719]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5236,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10361_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24715,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5236]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24716,plain,
% 21.81/22.77      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24715]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5234,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10360_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24711,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5234]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5232,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10359_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24707,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5232]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24708,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24707]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5230,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring(X0) | class_HOL_Otimes(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10358_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24703,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring(X0) | class_HOL_Otimes(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5230]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5228,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10357_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24699,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5228]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5226,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring(X0) | class_HOL_Oplus(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10356_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24695,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring(X0) | class_HOL_Oplus(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5226]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5224,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10355_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24691,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5224]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5222,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10354_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24687,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Osemiring(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5222]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5220,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Otimes(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10353_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24683,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Otimes(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5220]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5218,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10352_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24679,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5218]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5216,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10351_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24675,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5216]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24676,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24675]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5214,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10350_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24671,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5214]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24672,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring__0(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24671]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5212,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10349_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24667,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5212]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24668,plain,
% 21.81/22.77      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24667]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5210,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10348_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24663,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5210]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24664,plain,
% 21.81/22.77      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24663]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5208,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10347_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24659,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5208]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24660,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24659]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5206,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Ominus(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10346_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24655,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Ominus(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5206]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24656,plain,
% 21.81/22.77      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24655]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5204,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10345_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24651,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5204]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24652,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24651]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5202,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Oone(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10344_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24647,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Oone(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5202]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24648,plain,
% 21.81/22.77      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24647]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5200,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10343_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24643,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5200]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24644,plain,
% 21.81/22.77      ( class_OrderedGroup_Omonoid__mult(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24643]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5198,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10342_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24639,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5198]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24640,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24639]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5196,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10341_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24635,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5196]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24636,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring__1(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24635]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5194,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Ozero(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10340_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24631,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Ozero(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5194]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5192,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Oplus(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10339_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24627,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Oplus(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5192]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24628,plain,
% 21.81/22.77      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24627]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5190,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10338_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24623,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5190]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24624,plain,
% 21.81/22.77      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24623]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5188,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10337_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24619,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5188]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24620,plain,
% 21.81/22.77      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24619]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5186,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10336_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24615,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5186]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24616,plain,
% 21.81/22.77      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24615]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5184,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10335_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24611,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5184]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24612,plain,
% 21.81/22.77      ( class_OrderedGroup_Oab__group__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24611]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5182,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_Ring__and__Field_Oring(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10334_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24607,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring__1(X0)
% 21.81/22.77      | class_Ring__and__Field_Oring(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5182]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24608,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oring(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24607]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5180,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Ozero(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10333_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24603,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Ozero(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5180]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5178,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0)
% 21.81/22.77      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10332_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24599,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0)
% 21.81/22.77      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5178]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5176,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Ominus(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10331_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24595,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Ominus(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5176]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5174,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10330_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24591,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5174]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5172,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Otimes(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10329_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24587,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Otimes(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5172]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5170,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10328_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24583,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5170]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5168,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Oplus(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10327_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24579,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Oplus(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5168]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5166,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10326_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24575,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5166]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5164,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10325_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24571,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5164]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5162,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10324_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24567,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5162]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5160,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0)
% 21.81/22.77      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10323_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24563,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0)
% 21.81/22.77      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5160]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5158,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0)
% 21.81/22.77      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10322_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24559,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0)
% 21.81/22.77      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5158]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5156,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10321_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24555,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5156]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5154,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10320_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24551,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Oring(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5154]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5152,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10319_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24547,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5152]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24548,plain,
% 21.81/22.77      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24547]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5150,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_HOL_Ozero(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10318_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24543,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_HOL_Ozero(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5150]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24544,plain,
% 21.81/22.77      ( class_HOL_Ozero(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24543]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5148,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_HOL_Oplus(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10317_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24539,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_HOL_Oplus(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5148]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24540,plain,
% 21.81/22.77      ( class_HOL_Oplus(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24539]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5146,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10316_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24535,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5146]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24536,plain,
% 21.81/22.77      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24535]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5144,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10315_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24531,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5144]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24532,plain,
% 21.81/22.77      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24531]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5142,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10314_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24527,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5142]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24528,plain,
% 21.81/22.77      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24527]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5140,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_HOL_Otimes(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10313_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24523,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_HOL_Otimes(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5140]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24524,plain,
% 21.81/22.77      ( class_HOL_Otimes(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24523]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5138,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10312_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24519,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5138]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24520,plain,
% 21.81/22.77      ( class_OrderedGroup_Osemigroup__mult(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24519]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5136,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_Orderings_Oord(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10311_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24515,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_Orderings_Oord(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5136]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24516,plain,
% 21.81/22.77      ( class_Orderings_Oord(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24515]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5134,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_Orderings_Oorder(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10310_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24511,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_Orderings_Oorder(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5134]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24512,plain,
% 21.81/22.77      ( class_Orderings_Oorder(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24511]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5132,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10309_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24507,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5132]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24508,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24507]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5130,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10308_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24503,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5130]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24504,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring__0(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24503]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5128,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0) | class_HOL_Otimes(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10307_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24499,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0) | class_HOL_Otimes(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5128]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24500,plain,
% 21.81/22.77      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24499]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5126,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10306_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24495,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5126]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24496,plain,
% 21.81/22.77      ( class_OrderedGroup_Osemigroup__mult(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24495]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5124,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10305_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24491,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5124]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24492,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24491]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5122,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10304_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24487,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5122]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24488,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring__0(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24487]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5120,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10303_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24483,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5120]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24484,plain,
% 21.81/22.77      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24483]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5118,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10302_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24479,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5118]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24480,plain,
% 21.81/22.77      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24479]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5116,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10301_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24475,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5116]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24476,plain,
% 21.81/22.77      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24475]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5114,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10300_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24471,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5114]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5112,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10299_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24467,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5112]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24468,plain,
% 21.81/22.77      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24467]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5110,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10298_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24463,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5110]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24464,plain,
% 21.81/22.77      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24463]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5108,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0) | class_HOL_Ominus(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10297_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24459,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0) | class_HOL_Ominus(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5108]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24460,plain,
% 21.81/22.77      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24459]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5106,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10296_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24455,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5106]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24456,plain,
% 21.81/22.77      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24455]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5104,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_Orderings_Oord(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10295_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24451,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_Orderings_Oord(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5104]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24452,plain,
% 21.81/22.77      ( class_Orderings_Oord(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24451]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5102,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_Orderings_Oorder(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10294_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24447,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_Orderings_Oorder(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5102]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24448,plain,
% 21.81/22.77      ( class_Orderings_Oorder(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24447]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5100,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10293_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24443,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5100]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24444,plain,
% 21.81/22.77      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24443]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5098,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10292_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24439,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5098]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5096,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0) | class_HOL_Ozero(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10291_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24435,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0) | class_HOL_Ozero(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5096]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24436,plain,
% 21.81/22.77      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24435]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5094,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0) | class_HOL_Oplus(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10290_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24431,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0) | class_HOL_Oplus(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5094]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24432,plain,
% 21.81/22.77      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24431]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5092,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10289_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24427,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5092]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24428,plain,
% 21.81/22.77      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24427]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5090,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10288_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24423,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5090]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24424,plain,
% 21.81/22.77      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24423]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5088,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10287_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24419,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5088]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24420,plain,
% 21.81/22.77      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24419]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5086,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10286_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24415,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5086]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24416,plain,
% 21.81/22.77      ( class_OrderedGroup_Oab__group__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24415]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5084,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_Ring__and__Field_Oring(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10285_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24411,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 21.81/22.77      | class_Ring__and__Field_Oring(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5084]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24412,plain,
% 21.81/22.77      ( class_Ring__and__Field_Oring(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24411]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5082,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10284_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24407,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5082]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24408,plain,
% 21.81/22.77      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24407]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5080,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10283_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24403,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.77      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5080]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24404,plain,
% 21.81/22.77      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24403]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5078,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.77      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10282_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24399,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.77      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5078]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24400,plain,
% 21.81/22.77      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24399]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5076,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.77      | class_HOL_Otimes(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10281_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24395,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.77      | class_HOL_Otimes(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5076]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24396,plain,
% 21.81/22.77      ( class_HOL_Otimes(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24395]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5074,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.77      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10280_0) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24391,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.77      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.77      inference(copy,[status(esa)],[c_5074]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_24392,plain,
% 21.81/22.77      ( class_OrderedGroup_Osemigroup__mult(X0)
% 21.81/22.77      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.81/22.77      inference(rewriting,[status(thm)],[c_24391]) ).
% 21.81/22.77  
% 21.81/22.77  cnf(c_5072,plain,
% 21.81/22.77      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.77      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10279_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24387,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5072]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24388,plain,
% 21.81/22.78      ( class_Ring__and__Field_Osemiring(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24387]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5070,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10278_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24383,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5070]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24384,plain,
% 21.81/22.78      ( class_Ring__and__Field_Osemiring__0(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24383]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5068,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10277_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24379,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5068]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24380,plain,
% 21.81/22.78      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24379]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5066,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10276_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24375,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5066]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24376,plain,
% 21.81/22.78      ( class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24375]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5064,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.78      | class_Orderings_Oord(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10275_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24371,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.78      | class_Orderings_Oord(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5064]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24372,plain,
% 21.81/22.78      ( class_Orderings_Oord(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24371]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5062,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.78      | class_Orderings_Oorder(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10274_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24367,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.78      | class_Orderings_Oorder(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5062]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24368,plain,
% 21.81/22.78      ( class_Orderings_Oorder(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24367]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5060,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10273_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24363,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5060]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24364,plain,
% 21.81/22.78      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24363]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5058,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.78      | class_HOL_Ozero(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10272_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24359,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.78      | class_HOL_Ozero(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5058]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24360,plain,
% 21.81/22.78      ( class_HOL_Ozero(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24359]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5056,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.78      | class_HOL_Oplus(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10271_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24355,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.78      | class_HOL_Oplus(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5056]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24356,plain,
% 21.81/22.78      ( class_HOL_Oplus(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24355]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5054,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10270_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24351,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5054]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24352,plain,
% 21.81/22.78      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24351]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5052,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10269_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24347,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5052]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24348,plain,
% 21.81/22.78      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24347]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5050,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10268_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24343,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5050]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24344,plain,
% 21.81/22.78      ( class_Ring__and__Field_Osemiring__0(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24343]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5048,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10267_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24339,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5048]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24340,plain,
% 21.81/22.78      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24339]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5046,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10266_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24335,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5046]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24336,plain,
% 21.81/22.78      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24335]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5044,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10265_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24331,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5044]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24332,plain,
% 21.81/22.78      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24331]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5042,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10264_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24327,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5042]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24328,plain,
% 21.81/22.78      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24327]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5040,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10263_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24323,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5040]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24324,plain,
% 21.81/22.78      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24323]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5038,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_HOL_Ominus(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10262_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24319,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_HOL_Ominus(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5038]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24320,plain,
% 21.81/22.78      ( class_HOL_Ominus(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24319]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5036,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Orderings_Oord(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10261_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24315,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Orderings_Oord(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5036]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24316,plain,
% 21.81/22.78      ( class_Orderings_Oord(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24315]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5034,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Orderings_Oorder(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10260_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24311,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Orderings_Oorder(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5034]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24312,plain,
% 21.81/22.78      ( class_Orderings_Oorder(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24311]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5032,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10259_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24307,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5032]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24308,plain,
% 21.81/22.78      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24307]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5030,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10258_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24303,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5030]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24304,plain,
% 21.81/22.78      ( class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24303]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5028,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10257_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24299,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5028]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24300,plain,
% 21.81/22.78      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24299]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5026,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10256_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24295,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5026]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24296,plain,
% 21.81/22.78      ( class_OrderedGroup_Oab__group__add(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24295]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5024,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_HOL_Oplus(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10255_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24291,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_HOL_Oplus(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5024]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24292,plain,
% 21.81/22.78      ( class_HOL_Oplus(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24291]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5022,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10254_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24287,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5022]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24288,plain,
% 21.81/22.78      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24287]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5020,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10253_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24283,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5020]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24284,plain,
% 21.81/22.78      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24283]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5018,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10252_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24279,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5018]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24280,plain,
% 21.81/22.78      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24279]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5016,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10251_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24275,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5016]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24276,plain,
% 21.81/22.78      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24275]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5014,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_HOL_Ozero(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10250_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24271,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_HOL_Ozero(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5014]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24272,plain,
% 21.81/22.78      ( class_HOL_Ozero(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24271]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5012,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10249_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24267,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5012]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24268,plain,
% 21.81/22.78      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24267]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5010,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_HOL_Otimes(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10248_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24263,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_HOL_Otimes(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5010]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24264,plain,
% 21.81/22.78      ( class_HOL_Otimes(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24263]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5008,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10247_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24259,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5008]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24260,plain,
% 21.81/22.78      ( class_OrderedGroup_Osemigroup__mult(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24259]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5006,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10246_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24255,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5006]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24256,plain,
% 21.81/22.78      ( class_Ring__and__Field_Osemiring(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24255]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5004,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Ring__and__Field_Oring(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10245_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24251,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Ring__and__Field_Oring(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5004]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24252,plain,
% 21.81/22.78      ( class_Ring__and__Field_Oring(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24251]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5002,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10244_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24247,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__comm__ring(X0)
% 21.81/22.78      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5002]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24248,plain,
% 21.81/22.78      ( class_Ring__and__Field_Ocomm__ring(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24247]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_5000,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10243_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24243,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_5000]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24244,plain,
% 21.81/22.78      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24243]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4998,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10242_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24239,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4998]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24240,plain,
% 21.81/22.78      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24239]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4996,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10241_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24235,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4996]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24236,plain,
% 21.81/22.78      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24235]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4994,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_HOL_Ozero(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10240_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24231,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_HOL_Ozero(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4994]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24232,plain,
% 21.81/22.78      ( class_HOL_Ozero(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24231]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4992,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10239_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24227,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4992]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24228,plain,
% 21.81/22.78      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24227]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4990,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_HOL_Otimes(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10238_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24223,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_HOL_Otimes(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4990]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24224,plain,
% 21.81/22.78      ( class_HOL_Otimes(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24223]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4988,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10237_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24219,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4988]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24220,plain,
% 21.81/22.78      ( class_OrderedGroup_Osemigroup__mult(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24219]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4986,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10236_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24215,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4986]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24216,plain,
% 21.81/22.78      ( class_Ring__and__Field_Osemiring(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24215]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4984,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10235_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24211,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4984]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24212,plain,
% 21.81/22.78      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24211]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4982,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10234_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24207,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4982]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24208,plain,
% 21.81/22.78      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24207]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4980,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10233_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24203,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4980]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24204,plain,
% 21.81/22.78      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24203]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4978,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_Orderings_Oord(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10232_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24199,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_Orderings_Oord(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4978]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24200,plain,
% 21.81/22.78      ( class_Orderings_Oord(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24199]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4976,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_Orderings_Oorder(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10231_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24195,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_Orderings_Oorder(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4976]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24196,plain,
% 21.81/22.78      ( class_Orderings_Oorder(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24195]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4974,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_HOL_Oplus(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10230_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24191,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_HOL_Oplus(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4974]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24192,plain,
% 21.81/22.78      ( class_HOL_Oplus(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24191]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4972,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10229_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24187,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4972]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24188,plain,
% 21.81/22.78      ( class_Ring__and__Field_Osemiring__0(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24187]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4970,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10228_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24183,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4970]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4968,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_HOL_Ozero(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10227_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24179,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_HOL_Ozero(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4968]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24180,plain,
% 21.81/22.78      ( class_HOL_Ozero(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24179]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4966,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10226_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24175,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4966]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24176,plain,
% 21.81/22.78      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24175]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4964,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_HOL_Otimes(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10225_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24171,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_HOL_Otimes(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4964]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24172,plain,
% 21.81/22.78      ( class_HOL_Otimes(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24171]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4962,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10224_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24167,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4962]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24168,plain,
% 21.81/22.78      ( class_OrderedGroup_Osemigroup__mult(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24167]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4960,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10223_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24163,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Osemiring(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4960]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24164,plain,
% 21.81/22.78      ( class_Ring__and__Field_Osemiring(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24163]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4958,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10222_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24159,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4958]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24160,plain,
% 21.81/22.78      ( class_Ring__and__Field_Osemiring__0(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24159]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4956,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10221_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24155,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4956]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24156,plain,
% 21.81/22.78      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24155]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4954,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10220_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24151,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4954]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24152,plain,
% 21.81/22.78      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24151]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4952,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10219_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24147,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4952]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24148,plain,
% 21.81/22.78      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24147]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4950,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10218_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24143,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4950]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24144,plain,
% 21.81/22.78      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24143]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4948,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10217_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24139,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4948]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24140,plain,
% 21.81/22.78      ( class_Ring__and__Field_Opordered__semiring(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24139]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4946,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10216_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24135,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4946]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24136,plain,
% 21.81/22.78      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24135]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4944,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10215_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24131,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4944]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24132,plain,
% 21.81/22.78      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24131]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4942,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_Orderings_Oord(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10214_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24127,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_Orderings_Oord(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4942]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24128,plain,
% 21.81/22.78      ( class_Orderings_Oord(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24127]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4940,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_Orderings_Oorder(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10213_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24123,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_Orderings_Oorder(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4940]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24124,plain,
% 21.81/22.78      ( class_Orderings_Oorder(X0)
% 21.81/22.78      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.81/22.78      inference(rewriting,[status(thm)],[c_24123]) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_4938,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_HOL_Oplus(X0) ),
% 21.81/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10212_0) ).
% 21.81/22.78  
% 21.81/22.78  cnf(c_24119,plain,
% 21.81/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.81/22.78      | class_HOL_Oplus(X0) ),
% 21.81/22.78      inference(copy,[status(esa)],[c_4938]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24120,plain,
% 21.87/22.78      ( class_HOL_Oplus(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24119]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4936,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.87/22.78      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10211_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24115,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.87/22.78      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4936]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24116,plain,
% 21.87/22.78      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24115]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4934,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.87/22.78      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10210_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24111,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.87/22.78      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4934]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24112,plain,
% 21.87/22.78      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24111]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4932,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10209_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24107,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4932]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24108,plain,
% 21.87/22.78      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24107]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4930,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.87/22.78      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10208_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24103,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.87/22.78      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4930]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24104,plain,
% 21.87/22.78      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24103]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4928,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10207_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24099,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4928]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4926,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10206_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24095,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4926]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24096,plain,
% 21.87/22.78      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24095]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4924,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_HOL_Ozero(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10205_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24091,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_HOL_Ozero(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4924]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24092,plain,
% 21.87/22.78      ( class_HOL_Ozero(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24091]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4922,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_HOL_Oplus(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10204_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24087,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_HOL_Oplus(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4922]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24088,plain,
% 21.87/22.78      ( class_HOL_Oplus(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24087]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4920,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10203_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24083,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4920]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24084,plain,
% 21.87/22.78      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24083]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4918,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10202_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24079,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4918]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24080,plain,
% 21.87/22.78      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24079]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4916,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10201_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24075,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4916]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24076,plain,
% 21.87/22.78      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24075]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4914,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_HOL_Otimes(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10200_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24071,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_HOL_Otimes(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4914]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24072,plain,
% 21.87/22.78      ( class_HOL_Otimes(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24071]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4912,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10199_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24067,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4912]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24068,plain,
% 21.87/22.78      ( class_Ring__and__Field_Opordered__semiring(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24067]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4910,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10198_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24063,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4910]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24064,plain,
% 21.87/22.78      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24063]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4908,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10197_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24059,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4908]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24060,plain,
% 21.87/22.78      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24059]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4906,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10196_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24055,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4906]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24056,plain,
% 21.87/22.78      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24055]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4904,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10195_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24051,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4904]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24052,plain,
% 21.87/22.78      ( class_OrderedGroup_Osemigroup__mult(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24051]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4902,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10194_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24047,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4902]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24048,plain,
% 21.87/22.78      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24047]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4900,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_Orderings_Oord(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10193_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24043,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_Orderings_Oord(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4900]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24044,plain,
% 21.87/22.78      ( class_Orderings_Oord(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24043]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4898,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_Orderings_Oorder(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10192_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24039,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_Orderings_Oorder(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4898]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24040,plain,
% 21.87/22.78      ( class_Orderings_Oorder(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24039]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4896,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10191_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24035,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4896]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24036,plain,
% 21.87/22.78      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24035]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4894,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10190_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24031,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4894]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24032,plain,
% 21.87/22.78      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24031]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4892,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10189_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24027,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4892]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24028,plain,
% 21.87/22.78      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24027]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4890,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10188_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24023,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4890]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24024,plain,
% 21.87/22.78      ( class_LOrder_Omeet__semilorder(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24023]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4888,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10187_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24019,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4888]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24020,plain,
% 21.87/22.78      ( class_LOrder_Ojoin__semilorder(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24019]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4886,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_LOrder_Olorder(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10186_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24015,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_LOrder_Olorder(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4886]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24016,plain,
% 21.87/22.78      ( class_LOrder_Olorder(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24015]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4884,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_Orderings_Olinorder(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10185_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24011,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_Orderings_Olinorder(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4884]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24012,plain,
% 21.87/22.78      ( class_Orderings_Olinorder(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24011]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4882,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10184_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24007,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4882]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24008,plain,
% 21.87/22.78      ( class_Ring__and__Field_Osemiring(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24007]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4880,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10183_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24003,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4880]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_24004,plain,
% 21.87/22.78      ( class_Ring__and__Field_Osemiring__0(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_24003]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4878,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10182_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23999,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4878]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4876,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10181_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23995,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4876]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4874,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | class_HOL_Oone(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10180_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23991,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | class_HOL_Oone(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4874]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4872,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10179_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23987,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4872]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4870,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10178_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23983,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4870]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4868,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10177_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23979,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4868]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4866,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Orderings_Oord(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10176_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23975,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Orderings_Oord(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4866]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4864,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Orderings_Oorder(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10175_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23971,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Orderings_Oorder(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4864]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4862,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10174_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23967,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4862]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4860,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10173_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23963,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4860]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4858,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10172_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23959,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4858]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4856,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10171_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23955,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4856]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4854,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10170_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23951,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4854]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4852,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10169_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23947,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4852]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4850,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10168_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23943,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4850]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4848,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10167_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23939,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4848]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4846,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10166_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23935,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4846]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4844,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10165_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23931,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4844]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4842,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_LOrder_Olorder(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10164_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23927,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_LOrder_Olorder(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4842]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4840,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Orderings_Olinorder(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10163_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23923,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Orderings_Olinorder(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4840]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4838,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10162_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23919,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4838]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4836,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10161_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23915,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4836]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4834,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10160_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23911,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4834]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4832,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10159_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23907,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4832]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4830,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10158_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23903,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4830]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4828,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10157_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23899,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4828]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4826,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10156_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23895,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4826]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4824,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10155_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23891,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4824]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4822,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10154_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23887,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4822]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4820,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10153_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23883,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4820]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4818,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10152_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23879,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4818]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4816,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10151_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23875,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4816]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4814,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10150_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23871,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4814]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4812,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10149_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23867,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4812]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4810,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10148_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23863,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4810]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4808,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10147_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23859,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4808]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4806,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10146_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23855,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4806]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4804,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10145_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23851,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4804]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4802,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10144_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23847,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4802]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4800,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10143_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23843,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4800]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4798,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_HOL_Otimes(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10142_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23839,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_HOL_Otimes(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4798]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4796,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10141_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23835,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4796]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4794,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10140_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23831,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4794]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4792,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10139_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23827,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4792]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4790,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10138_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23823,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4790]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4788,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10137_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23819,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4788]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4786,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10136_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23815,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4786]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4784,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10135_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23811,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4784]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4782,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10134_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23807,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4782]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4780,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10133_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23803,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4780]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4778,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__ring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10132_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23799,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__ring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4778]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4776,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10131_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23795,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4776]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4774,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10130_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23791,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4774]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4772,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10129_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23787,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4772]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4770,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10128_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23783,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4770]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4768,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10127_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23779,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4768]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4766,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Orderings_Oord(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10126_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23775,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Orderings_Oord(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4766]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4764,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Orderings_Oorder(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10125_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23771,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Orderings_Oorder(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4764]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4762,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10124_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23767,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4762]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4760,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10123_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23763,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4760]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4758,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10122_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23759,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4758]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4756,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10121_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23755,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4756]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4754,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10120_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23751,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4754]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4752,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10119_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23747,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4752]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4750,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_HOL_Ominus(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10118_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23743,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_HOL_Ominus(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4750]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4748,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10117_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23739,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4748]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4746,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_LOrder_Olorder(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10116_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23735,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_LOrder_Olorder(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4746]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4744,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Orderings_Olinorder(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10115_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23731,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Orderings_Olinorder(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4744]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4742,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10114_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23727,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4742]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4740,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10113_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23723,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4740]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4738,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_HOL_Ozero(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10112_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23719,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_HOL_Ozero(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4738]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4736,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_HOL_Oplus(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10111_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23715,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_HOL_Oplus(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4736]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4734,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10110_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23711,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4734]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4732,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10109_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23707,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4732]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4730,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10108_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23703,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4730]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4728,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10107_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23699,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4728]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4726,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Oring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10106_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23695,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | class_Ring__and__Field_Oring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4726]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4724,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10105_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23691,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4724]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4722,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10104_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23687,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4722]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4720,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10103_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23683,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4720]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4718,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10102_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23679,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4718]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4716,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10101_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23675,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4716]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4714,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10100_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23671,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4714]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4712,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Oordered__semidom(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10099_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23667,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Oordered__semidom(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4712]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23668,plain,
% 21.87/22.78      ( class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_23667]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4710,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10098_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23663,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4710]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4708,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10097_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23659,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4708]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4706,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10096_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23655,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4706]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4704,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10095_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23651,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4704]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4702,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10094_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23647,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4702]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4700,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0) | class_HOL_Ominus(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10093_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23643,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0) | class_HOL_Ominus(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4700]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4698,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__ring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10092_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23639,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__ring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4698]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4696,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10091_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23635,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4696]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4694,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10090_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23631,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4694]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23632,plain,
% 21.87/22.78      ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_23631]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4692,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10089_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23627,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4692]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4690,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Orderings_Oord(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10088_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23623,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Orderings_Oord(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4690]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4688,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Orderings_Oorder(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10087_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23619,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Orderings_Oorder(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4688]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4686,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10086_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23615,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4686]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4684,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10085_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23611,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4684]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4682,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10084_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23607,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4682]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4680,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10083_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23603,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4680]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4678,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10082_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23599,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4678]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4676,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10081_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23595,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4676]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4674,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10080_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23591,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4674]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4672,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10079_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23587,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4672]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4670,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10078_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23583,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4670]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4668,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10077_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23579,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4668]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4666,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_LOrder_Olorder(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10076_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23575,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_LOrder_Olorder(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4666]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4664,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Orderings_Olinorder(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10075_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23571,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Orderings_Olinorder(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4664]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4662,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10074_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23567,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4662]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4660,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10073_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23563,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4660]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4658,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10072_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23559,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4658]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4656,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Oring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10071_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23555,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Oring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4656]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23556,plain,
% 21.87/22.78      ( class_Ring__and__Field_Oring(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_23555]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4654,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10070_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23551,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4654]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4652,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10069_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23547,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4652]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4650,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10068_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23543,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4650]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4648,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10067_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23539,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4648]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4646,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10066_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23535,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4646]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4644,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10065_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23531,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4644]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4642,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10064_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23527,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4642]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4640,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10063_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23523,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4640]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4638,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10062_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23519,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4638]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4636,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10061_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23515,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.78      inference(copy,[status(esa)],[c_4636]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23516,plain,
% 21.87/22.78      ( class_Ring__and__Field_Osemiring(X0)
% 21.87/22.78      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 21.87/22.78      inference(rewriting,[status(thm)],[c_23515]) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_4634,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.78      | class_Ring__and__Field_Oring__1(X0) ),
% 21.87/22.78      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10060_0) ).
% 21.87/22.78  
% 21.87/22.78  cnf(c_23511,plain,
% 21.87/22.78      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.79      | class_Ring__and__Field_Oring__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4634]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4632,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10059_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23507,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4632]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4630,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10058_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23503,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4630]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4628,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10057_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23499,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4628]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4626,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10056_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23495,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4626]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4624,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10055_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23491,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4624]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4622,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10054_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23487,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4622]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4620,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0) | class_HOL_Oone(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10053_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23483,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0) | class_HOL_Oone(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4620]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4618,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.79      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10052_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23479,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.79      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4618]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4616,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.79      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10051_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23475,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.79      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4616]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4614,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10050_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23471,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4614]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4612,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10049_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23467,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4612]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4610,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10048_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23463,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4610]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23464,plain,
% 21.87/22.79      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23463]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4608,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10047_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23459,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4608]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4606,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Ominus(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10046_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23455,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Ominus(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4606]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4604,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10045_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23451,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4604]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4602,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Oordered__semidom(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10044_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23447,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Oordered__semidom(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4602]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4600,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Oring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10043_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23443,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Oring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4600]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4598,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Orderings_Oord(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10042_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23439,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Orderings_Oord(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4598]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4596,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Orderings_Oorder(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10041_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23435,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Orderings_Oorder(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4596]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4594,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10040_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23431,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4594]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4592,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10039_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23427,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4592]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4590,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10038_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23423,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4590]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4588,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10037_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23419,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4588]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4586,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10036_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23415,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4586]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4584,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10035_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23411,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4584]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4582,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_LOrder_Olorder(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10034_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23407,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_LOrder_Olorder(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4582]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4580,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10033_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23403,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4580]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4578,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Oring__1(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10032_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23399,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Oring__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4578]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4576,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10031_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23395,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4576]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4574,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10030_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23391,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4574]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4572,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10029_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23387,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4572]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4570,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10028_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23383,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4570]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4568,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10027_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23379,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4568]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4566,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__ring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10026_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23375,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__ring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4566]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4564,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10025_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23371,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4564]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4562,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10024_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23367,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4562]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4560,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Orderings_Olinorder(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10023_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23363,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Orderings_Olinorder(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4560]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4558,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10022_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23359,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4558]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4556,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10021_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23355,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4556]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4554,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10020_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23351,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4554]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4552,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10019_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23347,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4552]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4550,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10018_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23343,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4550]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4548,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10017_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23339,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4548]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4546,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10016_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23335,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4546]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4544,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Oordered__idom(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10015_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23331,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Oordered__idom(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4544]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4542,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10014_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23327,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4542]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4540,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10013_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23323,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4540]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4538,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10012_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23319,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4538]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4536,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10011_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23315,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4536]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4534,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10010_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23311,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4534]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4532,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10009_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23307,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4532]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4530,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10008_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23303,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4530]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4528,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10007_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23299,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4528]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4526,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10006_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23295,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4526]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4524,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10005_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23291,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4524]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4522,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10004_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23287,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4522]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4520,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10003_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23283,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4520]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4518,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10002_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23279,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4518]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4516,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10001_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23275,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4516]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4514,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10000_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23271,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4514]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4512,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9999_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23267,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4512]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4510,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9998_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23263,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4510]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4508,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9997_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23259,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4508]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4506,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9996_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23255,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4506]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4504,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Oone(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9995_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23251,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Oone(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4504]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4502,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9994_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23247,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4502]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4500,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9993_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23243,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4500]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4498,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9992_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23239,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4498]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4496,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9991_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23235,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4496]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4494,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9990_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23231,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4494]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4492,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9989_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23227,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4492]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4490,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Oinverse(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9988_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23223,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0) | class_HOL_Oinverse(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4490]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4488,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Ofield(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9987_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23219,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.79      | class_Ring__and__Field_Ofield(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4488]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4486,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9986_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23215,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4486]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23216,plain,
% 21.87/22.79      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23215]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4484,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9985_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23211,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4484]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23212,plain,
% 21.87/22.79      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23211]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4482,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9984_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23207,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4482]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23208,plain,
% 21.87/22.79      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23207]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4480,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_HOL_Otimes(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9983_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23203,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_HOL_Otimes(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4480]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23204,plain,
% 21.87/22.79      ( class_HOL_Otimes(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23203]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4478,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9982_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23199,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4478]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23200,plain,
% 21.87/22.79      ( class_OrderedGroup_Osemigroup__mult(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23199]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4476,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9981_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23195,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4476]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23196,plain,
% 21.87/22.79      ( class_Ring__and__Field_Osemiring(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23195]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4474,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9980_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23191,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4474]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23192,plain,
% 21.87/22.79      ( class_Ring__and__Field_Osemiring__0(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23191]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4472,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9979_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23187,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4472]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4470,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9978_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23183,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4470]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4468,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9977_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23179,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4468]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23180,plain,
% 21.87/22.79      ( class_Ring__and__Field_Opordered__semiring(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23179]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4466,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9976_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23175,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4466]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23176,plain,
% 21.87/22.79      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23175]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4464,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9975_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23171,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4464]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23172,plain,
% 21.87/22.79      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23171]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4462,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9974_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23167,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4462]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4460,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9973_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23163,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4460]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23164,plain,
% 21.87/22.79      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23163]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4458,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9972_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23159,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4458]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23160,plain,
% 21.87/22.79      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23159]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4456,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Orderings_Oord(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9971_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23155,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Orderings_Oord(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4456]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23156,plain,
% 21.87/22.79      ( class_Orderings_Oord(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23155]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4454,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Orderings_Oorder(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9970_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23151,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Orderings_Oorder(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4454]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23152,plain,
% 21.87/22.79      ( class_Orderings_Oorder(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23151]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4452,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9969_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23147,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4452]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23148,plain,
% 21.87/22.79      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23147]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4450,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9968_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23143,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4450]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23144,plain,
% 21.87/22.79      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23143]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4448,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9967_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23139,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4448]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23140,plain,
% 21.87/22.79      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23139]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4446,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9966_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23135,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4446]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23136,plain,
% 21.87/22.79      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23135]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4444,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9965_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23131,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4444]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23132,plain,
% 21.87/22.79      ( class_LOrder_Omeet__semilorder(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23131]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4442,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9964_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23127,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4442]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23128,plain,
% 21.87/22.79      ( class_LOrder_Ojoin__semilorder(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23127]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4440,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_LOrder_Olorder(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9963_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23123,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_LOrder_Olorder(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4440]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23124,plain,
% 21.87/22.79      ( class_LOrder_Olorder(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23123]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4438,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Orderings_Olinorder(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9962_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23119,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Orderings_Olinorder(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4438]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23120,plain,
% 21.87/22.79      ( class_Orderings_Olinorder(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23119]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4436,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9961_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23115,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4436]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23116,plain,
% 21.87/22.79      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23115]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4434,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_HOL_Ozero(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9960_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23111,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_HOL_Ozero(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4434]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23112,plain,
% 21.87/22.79      ( class_HOL_Ozero(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23111]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4432,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_HOL_Oplus(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9959_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23107,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_HOL_Oplus(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4432]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23108,plain,
% 21.87/22.79      ( class_HOL_Oplus(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23107]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4430,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9958_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23103,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4430]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23104,plain,
% 21.87/22.79      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23103]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4428,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9957_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23099,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4428]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23100,plain,
% 21.87/22.79      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23099]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4426,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9956_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23095,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4426]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23096,plain,
% 21.87/22.79      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23095]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4424,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9955_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23091,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__semiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4424]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4422,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9954_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23087,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4422]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4420,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9953_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23083,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4420]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23084,plain,
% 21.87/22.79      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23083]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4418,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9952_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23079,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4418]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23080,plain,
% 21.87/22.79      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23079]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4416,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0) | class_HOL_Ominus(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9951_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23075,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0) | class_HOL_Ominus(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4416]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23076,plain,
% 21.87/22.79      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23075]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4414,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9950_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23071,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4414]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23072,plain,
% 21.87/22.79      ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23071]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4412,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9949_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23067,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4412]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23068,plain,
% 21.87/22.79      ( class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23067]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4410,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9948_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23063,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4410]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23064,plain,
% 21.87/22.79      ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23063]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4408,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9947_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23059,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4408]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23060,plain,
% 21.87/22.79      ( class_LOrder_Omeet__semilorder(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23059]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4406,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9946_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23055,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4406]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23056,plain,
% 21.87/22.79      ( class_LOrder_Ojoin__semilorder(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23055]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4404,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_LOrder_Olorder(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9945_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23051,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_LOrder_Olorder(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4404]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23052,plain,
% 21.87/22.79      ( class_LOrder_Olorder(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23051]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4402,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9944_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23047,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4402]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23048,plain,
% 21.87/22.79      ( class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23047]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4400,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9943_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23043,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4400]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23044,plain,
% 21.87/22.79      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23043]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4398,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9942_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23039,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4398]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23040,plain,
% 21.87/22.79      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23039]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4396,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9941_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23035,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4396]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23036,plain,
% 21.87/22.79      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23035]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4394,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9940_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23031,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4394]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23032,plain,
% 21.87/22.79      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23031]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4392,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9939_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23027,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4392]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23028,plain,
% 21.87/22.79      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23027]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4390,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9938_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23023,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4390]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23024,plain,
% 21.87/22.79      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23023]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4388,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9937_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23019,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4388]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23020,plain,
% 21.87/22.79      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23019]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4386,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9936_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23015,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4386]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23016,plain,
% 21.87/22.79      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23015]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4384,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9935_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23011,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4384]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23012,plain,
% 21.87/22.79      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23011]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4382,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9934_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23007,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4382]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23008,plain,
% 21.87/22.79      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23007]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4380,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9933_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23003,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4380]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23004,plain,
% 21.87/22.79      ( class_OrderedGroup_Osemigroup__mult(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_23003]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4378,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9932_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22999,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4378]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_23000,plain,
% 21.87/22.79      ( class_Ring__and__Field_Osemiring(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22999]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4376,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9931_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22995,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4376]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22996,plain,
% 21.87/22.79      ( class_Ring__and__Field_Osemiring__0(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22995]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4374,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9930_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22991,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4374]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22992,plain,
% 21.87/22.79      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22991]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4372,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_Orderings_Oord(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9929_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22987,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_Orderings_Oord(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4372]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22988,plain,
% 21.87/22.79      ( class_Orderings_Oord(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22987]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4370,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_Orderings_Oorder(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9928_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22983,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_Orderings_Oorder(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4370]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22984,plain,
% 21.87/22.79      ( class_Orderings_Oorder(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22983]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4368,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_Ring__and__Field_Oring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9927_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22979,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_Ring__and__Field_Oring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4368]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22980,plain,
% 21.87/22.79      ( class_Ring__and__Field_Oring(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22979]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4366,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__ring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9926_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22975,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 21.87/22.79      | class_Ring__and__Field_Opordered__ring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4366]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22976,plain,
% 21.87/22.79      ( class_Ring__and__Field_Opordered__ring(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22975]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4364,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9925_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22971,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4364]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22972,plain,
% 21.87/22.79      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22971]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4362,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9924_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22967,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4362]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22968,plain,
% 21.87/22.79      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22967]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4360,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9923_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22963,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4360]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22964,plain,
% 21.87/22.79      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22963]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4358,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9922_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22959,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4358]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22960,plain,
% 21.87/22.79      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22959]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4356,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0) | class_HOL_Ominus(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9921_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22955,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0) | class_HOL_Ominus(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4356]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22956,plain,
% 21.87/22.79      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22955]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4354,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9920_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22951,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4354]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22952,plain,
% 21.87/22.79      ( class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22951]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4352,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9919_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22947,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4352]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22948,plain,
% 21.87/22.79      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22947]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4350,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0) | class_Ring__and__Field_Oring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9918_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22943,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0) | class_Ring__and__Field_Oring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4350]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22944,plain,
% 21.87/22.79      ( class_Ring__and__Field_Oring(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22943]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4348,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9917_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22939,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4348]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22940,plain,
% 21.87/22.79      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22939]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4346,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9916_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22935,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4346]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22936,plain,
% 21.87/22.79      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22935]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4344,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9915_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22931,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4344]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22932,plain,
% 21.87/22.79      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22931]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4342,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9914_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22927,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4342]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22928,plain,
% 21.87/22.79      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22927]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4340,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9913_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22923,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4340]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22924,plain,
% 21.87/22.79      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22923]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4338,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9912_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22919,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4338]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22920,plain,
% 21.87/22.79      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22919]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4336,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9911_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22915,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4336]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22916,plain,
% 21.87/22.79      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22915]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4334,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9910_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22911,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4334]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22912,plain,
% 21.87/22.79      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22911]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4332,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9909_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22907,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4332]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22908,plain,
% 21.87/22.79      ( class_OrderedGroup_Osemigroup__mult(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22907]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4330,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9908_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22903,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4330]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22904,plain,
% 21.87/22.79      ( class_Ring__and__Field_Osemiring(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22903]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4328,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Oring__1(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9907_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22899,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Oring__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4328]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22900,plain,
% 21.87/22.79      ( class_Ring__and__Field_Oring__1(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22899]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4326,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9906_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22895,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4326]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22896,plain,
% 21.87/22.79      ( class_Ring__and__Field_Osemiring__0(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22895]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4324,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9905_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22891,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4324]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22892,plain,
% 21.87/22.79      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22891]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4322,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9904_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22887,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4322]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22888,plain,
% 21.87/22.79      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22887]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4320,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9903_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22883,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4320]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22884,plain,
% 21.87/22.79      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22883]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4318,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9902_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22879,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4318]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22880,plain,
% 21.87/22.79      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22879]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4316,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9901_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22875,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4316]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22876,plain,
% 21.87/22.79      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22875]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4314,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0) | class_HOL_Oone(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9900_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22871,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0) | class_HOL_Oone(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4314]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22872,plain,
% 21.87/22.79      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22871]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4312,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9899_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22867,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4312]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22868,plain,
% 21.87/22.79      ( class_OrderedGroup_Omonoid__mult(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22867]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4310,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9898_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22863,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4310]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22864,plain,
% 21.87/22.79      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22863]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4308,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9897_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22859,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4308]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22860,plain,
% 21.87/22.79      ( class_Ring__and__Field_Osemiring__1(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22859]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4306,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9896_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22855,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4306]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22856,plain,
% 21.87/22.79      ( class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22855]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4304,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9895_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22851,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Oidom(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4304]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22852,plain,
% 21.87/22.79      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22851]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4302,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9894_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22847,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4302]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4300,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9893_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22843,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4300]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4298,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9892_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22839,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4298]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4296,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9891_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22835,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4296]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4294,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Ominus(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9890_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22831,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Ominus(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4294]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4292,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9889_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22827,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4292]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4290,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9888_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22823,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4290]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4288,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9887_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22819,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Oidom(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4288]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4286,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Oinverse(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9886_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22815,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Oinverse(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4286]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4284,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Oring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9885_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22811,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Oring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4284]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22812,plain,
% 21.87/22.79      ( class_Ring__and__Field_Oring(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ofield(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22811]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4282,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9884_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22807,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4282]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4280,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9883_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22803,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4280]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4278,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9882_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22799,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4278]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4276,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9881_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22795,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4276]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4274,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9880_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22791,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4274]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4272,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9879_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22787,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4272]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4270,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9878_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22783,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4270]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4268,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9877_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22779,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4268]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4266,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9876_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22775,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4266]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4264,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9875_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22771,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4264]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22772,plain,
% 21.87/22.79      ( class_Ring__and__Field_Osemiring(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ofield(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22771]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4262,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Oring__1(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9874_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22767,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Oring__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4262]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4260,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9873_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22763,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4260]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4258,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9872_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22759,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4258]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4256,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9871_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22755,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4256]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4254,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9870_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22751,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4254]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4252,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9869_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22747,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4252]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4250,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9868_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22743,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4250]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4248,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Oone(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9867_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22739,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0) | class_HOL_Oone(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4248]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4246,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9866_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22735,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4246]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4244,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9865_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22731,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4244]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4242,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9864_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22727,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4242]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4240,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9863_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22723,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4240]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4238,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9862_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22719,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4238]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22720,plain,
% 21.87/22.79      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ofield(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22719]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4236,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.79      | class_HOL_Oinverse(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9861_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22715,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.79      | class_HOL_Oinverse(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4236]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4234,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.79      | class_HOL_Ozero(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9860_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22711,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.79      | class_HOL_Ozero(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4234]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4232,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9859_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22707,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4232]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4230,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9858_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22703,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4230]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22704,plain,
% 21.87/22.79      ( class_Ring__and__Field_Osemiring(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22703]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4228,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9857_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22699,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4228]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4226,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9856_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22695,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4226]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4224,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9855_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22691,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4224]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4222,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9854_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22687,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4222]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4220,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9853_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22683,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4220]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4218,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9852_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22679,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4218]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4216,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9851_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22675,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4216]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4214,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9850_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22671,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4214]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4212,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9849_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22667,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4212]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4210,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9848_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22663,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4210]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4208,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9847_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22659,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4208]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4206,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_HOL_Otimes(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9846_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22655,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_HOL_Otimes(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4206]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4204,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9845_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22651,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4204]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4202,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_HOL_Oone(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9844_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22647,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_HOL_Oone(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4202]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4200,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9843_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22643,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4200]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4198,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_HOL_Oplus(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9842_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22639,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_HOL_Oplus(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4198]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4196,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9841_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22635,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4196]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4194,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9840_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22631,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4194]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4192,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_HOL_Ozero(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9839_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22627,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_HOL_Ozero(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4192]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4190,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9838_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22623,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4190]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4188,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9837_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22619,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4188]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4186,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_HOL_Otimes(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9836_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22615,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_HOL_Otimes(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4186]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4184,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9835_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22611,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4184]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4182,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9834_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22607,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4182]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22608,plain,
% 21.87/22.79      ( class_Ring__and__Field_Osemiring(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22607]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4180,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9833_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22603,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4180]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22604,plain,
% 21.87/22.79      ( class_Ring__and__Field_Osemiring__0(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22603]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4178,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9832_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22599,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4178]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4176,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9831_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22595,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4176]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4174,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9830_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22591,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4174]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22592,plain,
% 21.87/22.79      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22591]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4172,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0) | class_HOL_Oone(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9829_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22587,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0) | class_HOL_Oone(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4172]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22588,plain,
% 21.87/22.79      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22587]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4170,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9828_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22583,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4170]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22584,plain,
% 21.87/22.79      ( class_Ring__and__Field_Osemiring__1(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22583]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4168,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9827_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22579,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4168]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22580,plain,
% 21.87/22.79      ( class_OrderedGroup_Omonoid__mult(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22579]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4166,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9826_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22575,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4166]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22576,plain,
% 21.87/22.79      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22575]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4164,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9825_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22571,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4164]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22572,plain,
% 21.87/22.79      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22571]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4162,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9824_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22567,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4162]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22568,plain,
% 21.87/22.79      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22567]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4160,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9823_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22563,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4160]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22564,plain,
% 21.87/22.79      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22563]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4158,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9822_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22559,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4158]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22560,plain,
% 21.87/22.79      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22559]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4156,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9821_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22555,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4156]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4154,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9820_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22551,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 21.87/22.79      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4154]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22552,plain,
% 21.87/22.79      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22551]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4152,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9819_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22547,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4152]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22548,plain,
% 21.87/22.79      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22547]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4150,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9818_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22543,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4150]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4148,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9817_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22539,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4148]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22540,plain,
% 21.87/22.79      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22539]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4146,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_HOL_Otimes(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9816_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22535,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_HOL_Otimes(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4146]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4144,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9815_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22531,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4144]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4142,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9814_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22527,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4142]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22528,plain,
% 21.87/22.79      ( class_Ring__and__Field_Osemiring(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22527]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4140,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9813_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22523,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4140]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22524,plain,
% 21.87/22.79      ( class_Ring__and__Field_Osemiring__0(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22523]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4138,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9812_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22519,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4138]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4136,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9811_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22515,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4136]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22516,plain,
% 21.87/22.79      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22515]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4134,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9810_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22511,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4134]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22512,plain,
% 21.87/22.79      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22511]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4132,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9809_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22507,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4132]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22508,plain,
% 21.87/22.79      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22507]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4130,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_HOL_Ozero(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9808_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22503,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_HOL_Ozero(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4130]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4128,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_HOL_Oplus(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9807_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22499,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_HOL_Oplus(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4128]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22500,plain,
% 21.87/22.79      ( class_HOL_Oplus(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22499]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4126,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9806_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22495,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4126]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4124,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9805_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22491,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.79      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4124]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22492,plain,
% 21.87/22.79      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22491]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4122,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9804_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22487,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4122]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4120,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9803_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22483,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.79      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4120]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22484,plain,
% 21.87/22.79      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.87/22.79      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22483]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4118,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.79      | class_HOL_Otimes(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9802_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22479,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.79      | class_HOL_Otimes(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4118]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4116,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9801_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22475,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4116]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4114,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.79      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9800_0) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22471,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.79      inference(copy,[status(esa)],[c_4114]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_22472,plain,
% 21.87/22.79      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.79      inference(rewriting,[status(thm)],[c_22471]) ).
% 21.87/22.79  
% 21.87/22.79  cnf(c_4112,plain,
% 21.87/22.79      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.79      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9799_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22467,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4112]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22468,plain,
% 21.87/22.80      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.87/22.80      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22467]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4110,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9798_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22463,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4110]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4108,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9797_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22459,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4108]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22460,plain,
% 21.87/22.80      ( class_Ring__and__Field_Osemiring(X0)
% 21.87/22.80      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22459]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4106,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9796_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22455,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4106]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22456,plain,
% 21.87/22.80      ( class_Ring__and__Field_Osemiring__0(X0)
% 21.87/22.80      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22455]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4104,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9795_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22451,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4104]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4102,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9794_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22447,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4102]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4100,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9793_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22443,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4100]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22444,plain,
% 21.87/22.80      ( class_Ring__and__Field_Osemiring(X0)
% 21.87/22.80      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22443]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4098,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9792_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22439,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4098]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22440,plain,
% 21.87/22.80      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22439]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4096,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9791_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22435,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4096]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22436,plain,
% 21.87/22.80      ( class_OrderedGroup_Osemigroup__mult(X0)
% 21.87/22.80      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22435]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4094,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9790_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22431,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4094]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22432,plain,
% 21.87/22.80      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 21.87/22.80      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22431]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4092,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9789_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22427,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4092]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22428,plain,
% 21.87/22.80      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22427]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4090,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9788_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22423,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4090]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22424,plain,
% 21.87/22.80      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.87/22.80      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22423]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4088,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9787_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22419,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4088]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22420,plain,
% 21.87/22.80      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 21.87/22.80      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22419]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4086,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9786_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22415,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4086]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4084,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9785_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22411,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4084]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4082,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9784_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22407,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4082]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4080,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9783_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22403,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4080]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4078,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9782_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22399,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4078]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4076,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9781_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22395,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4076]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4074,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Ominus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9780_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22391,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Ominus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4074]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4072,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9779_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22387,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4072]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4070,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9778_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22383,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4070]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4068,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Oring__1(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9777_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22379,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Oring__1(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4068]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4066,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Oone(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9776_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22375,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Oone(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4066]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4064,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9775_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22371,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4064]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4062,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9774_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22367,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4062]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4060,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9773_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22363,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4060]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4058,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9772_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22359,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4058]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4056,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9771_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22355,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4056]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4054,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9770_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22351,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4054]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4052,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9769_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22347,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4052]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4050,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9768_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22343,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4050]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4048,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9767_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22339,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4048]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4046,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9766_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22335,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4046]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4044,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9765_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22331,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4044]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4042,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9764_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22327,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4042]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4040,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9763_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22323,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4040]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4038,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9762_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22319,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4038]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4036,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9761_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22315,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4036]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4034,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9760_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22311,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4034]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4032,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Oring(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9759_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22307,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Oring(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4032]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4030,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9758_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22303,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4030]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4028,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9757_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22299,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4028]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22300,plain,
% 21.87/22.80      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.87/22.80      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22299]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4026,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9756_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22295,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4026]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4024,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9755_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22291,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4024]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22292,plain,
% 21.87/22.80      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.87/22.80      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22291]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4022,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9754_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22287,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4022]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4020,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9753_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22283,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4020]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4018,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9752_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22279,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4018]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22280,plain,
% 21.87/22.80      ( class_Ring__and__Field_Osemiring(X0)
% 21.87/22.80      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22279]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4016,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9751_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22275,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4016]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22276,plain,
% 21.87/22.80      ( class_Ring__and__Field_Osemiring__0(X0)
% 21.87/22.80      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22275]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4014,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9750_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22271,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4014]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4012,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9749_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22267,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4012]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22268,plain,
% 21.87/22.80      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 21.87/22.80      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22267]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4010,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9748_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22263,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4010]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22264,plain,
% 21.87/22.80      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.87/22.80      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22263]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4008,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_Ring__and__Field_Oring(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9747_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22259,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_Ring__and__Field_Oring(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4008]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22260,plain,
% 21.87/22.80      ( class_Ring__and__Field_Oring(X0)
% 21.87/22.80      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22259]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4006,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9746_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22255,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4006]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22256,plain,
% 21.87/22.80      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.87/22.80      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22255]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4004,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9745_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22251,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4004]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22252,plain,
% 21.87/22.80      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.87/22.80      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22251]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4002,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Ominus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9744_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22247,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Ominus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4002]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22248,plain,
% 21.87/22.80      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22247]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_4000,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9743_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22243,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_4000]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22244,plain,
% 21.87/22.80      ( class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.80      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22243]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3998,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9742_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22239,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3998]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3996,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9741_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22235,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3996]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22236,plain,
% 21.87/22.80      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22235]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3994,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9740_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22231,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3994]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3992,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9739_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22227,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3992]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22228,plain,
% 21.87/22.80      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 21.87/22.80      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22227]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3990,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 21.87/22.80      | class_HOL_Otimes(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9738_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22223,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 21.87/22.80      | class_HOL_Otimes(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3990]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22224,plain,
% 21.87/22.80      ( class_HOL_Otimes(X0)
% 21.87/22.80      | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22223]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3988,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 21.87/22.80      | class_HOL_Ozero(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9737_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22219,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 21.87/22.80      | class_HOL_Ozero(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3988]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22220,plain,
% 21.87/22.80      ( class_HOL_Ozero(X0)
% 21.87/22.80      | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22219]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3986,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Oaxclass__abs__if(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9736_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22215,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Oaxclass__abs__if(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3986]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22216,plain,
% 21.87/22.80      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22215]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3984,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Oaxclass__abs__if(X0)
% 21.87/22.80      | class_Orderings_Oord(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9735_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22211,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Oaxclass__abs__if(X0)
% 21.87/22.80      | class_Orderings_Oord(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3984]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22212,plain,
% 21.87/22.80      ( class_Orderings_Oord(X0)
% 21.87/22.80      | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22211]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3982,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Oaxclass__abs__if(X0) | class_HOL_Ominus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9734_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22207,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Oaxclass__abs__if(X0) | class_HOL_Ominus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3982]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22208,plain,
% 21.87/22.80      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22207]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3980,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) | class_HOL_Oone(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9733_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22203,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) | class_HOL_Oone(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3980]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22204,plain,
% 21.87/22.80      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22203]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3978,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 21.87/22.80      | class_HOL_Ozero(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9732_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22199,plain,
% 21.87/22.80      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 21.87/22.80      | class_HOL_Ozero(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3978]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3976,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9731_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22195,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3976]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3974,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0) | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9730_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22191,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0) | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3974]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3972,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9729_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22187,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3972]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3970,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9728_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22183,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3970]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3968,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0) | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9727_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22179,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0) | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3968]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3966,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9726_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22175,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3966]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3964,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9725_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22171,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3964]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3962,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9724_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22167,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3962]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3960,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9723_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22163,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3960]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3958,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9722_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22159,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3958]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3956,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9721_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22155,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3956]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3954,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9720_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22151,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3954]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3952,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0) | class_HOL_Oone(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9719_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22147,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0) | class_HOL_Oone(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3952]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3950,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9718_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22143,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3950]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3948,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9717_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22139,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3948]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3946,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0) | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9716_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22135,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0) | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3946]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3944,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9715_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22131,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3944]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3942,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0) | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9714_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22127,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0) | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3942]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3940,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9713_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22123,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3940]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3938,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0) | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9712_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22119,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0) | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3938]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3936,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9711_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22115,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3936]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3934,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9710_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22111,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3934]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3932,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0) | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9709_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22107,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0) | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3932]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3930,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9708_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22103,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3930]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3928,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0) | class_Nat_Opower(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9707_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22099,plain,
% 21.87/22.80      ( ~ class_Power_Orecpower(X0) | class_Nat_Opower(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3928]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3926,plain,
% 21.87/22.80      ( ~ class_Orderings_Oorder(X0) | class_Orderings_Oord(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9706_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22095,plain,
% 21.87/22.80      ( ~ class_Orderings_Oorder(X0) | class_Orderings_Oord(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3926]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22096,plain,
% 21.87/22.80      ( class_Orderings_Oord(X0) | ~ class_Orderings_Oorder(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22095]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3924,plain,
% 21.87/22.80      ( ~ class_Orderings_Olinorder(X0) | class_Orderings_Oorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9705_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22091,plain,
% 21.87/22.80      ( ~ class_Orderings_Olinorder(X0) | class_Orderings_Oorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3924]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3922,plain,
% 21.87/22.80      ( ~ class_Orderings_Olinorder(X0) | class_Orderings_Oord(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9704_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22087,plain,
% 21.87/22.80      ( ~ class_Orderings_Olinorder(X0) | class_Orderings_Oord(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3922]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3920,plain,
% 21.87/22.80      ( ~ class_Orderings_Olinorder(X0) | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9703_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22083,plain,
% 21.87/22.80      ( ~ class_Orderings_Olinorder(X0) | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3920]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3918,plain,
% 21.87/22.80      ( ~ class_Orderings_Olinorder(X0) | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9702_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22079,plain,
% 21.87/22.80      ( ~ class_Orderings_Olinorder(X0) | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3918]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3916,plain,
% 21.87/22.80      ( ~ class_Orderings_Olinorder(X0) | class_LOrder_Olorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9701_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22075,plain,
% 21.87/22.80      ( ~ class_Orderings_Olinorder(X0) | class_LOrder_Olorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3916]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3914,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Osemigroup__mult(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9700_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22071,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Osemigroup__mult(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3914]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22072,plain,
% 21.87/22.80      ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22071]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3912,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Osemigroup__add(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9699_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22067,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Osemigroup__add(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3912]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22068,plain,
% 21.87/22.80      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22067]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3910,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9698_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22063,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3910]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22064,plain,
% 21.87/22.80      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22063]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3908,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9697_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22059,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3908]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22060,plain,
% 21.87/22.80      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22059]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3906,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_HOL_Oplus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9696_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22055,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_HOL_Oplus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3906]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22056,plain,
% 21.87/22.80      ( class_HOL_Oplus(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22055]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3904,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9695_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22051,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3904]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22052,plain,
% 21.87/22.80      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22051]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3902,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9694_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22047,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3902]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22048,plain,
% 21.87/22.80      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22047]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3900,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_Orderings_Oord(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9693_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22043,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_Orderings_Oord(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3900]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22044,plain,
% 21.87/22.80      ( class_Orderings_Oord(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22043]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3898,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_Orderings_Oorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9692_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22039,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_Orderings_Oorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3898]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22040,plain,
% 21.87/22.80      ( class_Orderings_Oorder(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_22039]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3896,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9691_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22035,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3896]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3894,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | class_HOL_Oplus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9690_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22031,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | class_HOL_Oplus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3894]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3892,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9689_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22027,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3892]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3890,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9688_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22023,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3890]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3888,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9687_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22019,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3888]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3886,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9686_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22015,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3886]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3884,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | class_Orderings_Oord(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9685_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22011,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | class_Orderings_Oord(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3884]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3882,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | class_Orderings_Oorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9684_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22007,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | class_Orderings_Oorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3882]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3880,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9683_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_22003,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3880]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3878,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9682_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21999,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3878]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3876,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 21.87/22.80      | class_HOL_Oplus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9681_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21995,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 21.87/22.80      | class_HOL_Oplus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3876]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21996,plain,
% 21.87/22.80      ( class_HOL_Oplus(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21995]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3874,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9680_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21991,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3874]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21992,plain,
% 21.87/22.80      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21991]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3872,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9679_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21987,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3872]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21988,plain,
% 21.87/22.80      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21987]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3870,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 21.87/22.80      | class_Orderings_Oord(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9678_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21983,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 21.87/22.80      | class_Orderings_Oord(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3870]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21984,plain,
% 21.87/22.80      ( class_Orderings_Oord(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21983]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3868,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 21.87/22.80      | class_Orderings_Oorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9677_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21979,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 21.87/22.80      | class_Orderings_Oorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3868]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21980,plain,
% 21.87/22.80      ( class_Orderings_Oorder(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21979]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3866,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9676_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21975,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3866]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3864,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_HOL_Oplus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9675_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21971,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_HOL_Oplus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3864]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3862,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9674_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21967,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3862]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3860,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9673_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21963,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3860]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3858,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9672_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21959,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3858]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3856,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9671_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21955,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3856]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3854,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_HOL_Ozero(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9670_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21951,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_HOL_Ozero(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3854]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3852,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9669_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21947,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3852]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3850,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9668_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21943,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3850]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3848,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9667_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21939,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3848]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21940,plain,
% 21.87/22.80      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21939]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3846,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_Orderings_Oord(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9666_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21935,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_Orderings_Oord(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3846]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21936,plain,
% 21.87/22.80      ( class_Orderings_Oord(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21935]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3844,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_Orderings_Oorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9665_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21931,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_Orderings_Oorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3844]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3842,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_HOL_Ominus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9664_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21927,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_HOL_Ominus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3842]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3840,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9663_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21923,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3840]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3838,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_Orderings_Olinorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9662_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21919,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_Orderings_Olinorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3838]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21920,plain,
% 21.87/22.80      ( class_Orderings_Olinorder(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21919]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3836,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_HOL_Oplus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9661_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21915,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_HOL_Oplus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3836]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21916,plain,
% 21.87/22.80      ( class_HOL_Oplus(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21915]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3834,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9660_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21911,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3834]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21912,plain,
% 21.87/22.80      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21911]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3832,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9659_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21907,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3832]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21908,plain,
% 21.87/22.80      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21907]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3830,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9658_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21903,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3830]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21904,plain,
% 21.87/22.80      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21903]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3828,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9657_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21899,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3828]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21900,plain,
% 21.87/22.80      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21899]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3826,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_Orderings_Oord(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9656_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21895,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_Orderings_Oord(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3826]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21896,plain,
% 21.87/22.80      ( class_Orderings_Oord(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21895]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3824,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_Orderings_Oorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9655_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21891,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_Orderings_Oorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3824]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21892,plain,
% 21.87/22.80      ( class_Orderings_Oorder(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21891]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3822,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9654_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21887,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3822]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21888,plain,
% 21.87/22.80      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21887]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3820,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9653_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21883,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3820]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21884,plain,
% 21.87/22.80      ( class_LOrder_Omeet__semilorder(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21883]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3818,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9652_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21879,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3818]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21880,plain,
% 21.87/22.80      ( class_LOrder_Ojoin__semilorder(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21879]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3816,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_LOrder_Olorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9651_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21875,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_LOrder_Olorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3816]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21876,plain,
% 21.87/22.80      ( class_LOrder_Olorder(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21875]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3814,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9650_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21871,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3814]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21872,plain,
% 21.87/22.80      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21871]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3812,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9649_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21867,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3812]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21868,plain,
% 21.87/22.80      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21867]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3810,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Omonoid__mult(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9648_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21863,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Omonoid__mult(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3810]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3808,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9647_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21859,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3808]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3806,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Omonoid__mult(X0) | class_HOL_Oone(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9646_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21855,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Omonoid__mult(X0) | class_HOL_Oone(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3806]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21856,plain,
% 21.87/22.80      ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21855]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3804,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_Orderings_Oord(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9645_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21851,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_Orderings_Oord(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3804]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21852,plain,
% 21.87/22.80      ( class_Orderings_Oord(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21851]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3802,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_Orderings_Oorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9644_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21847,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_Orderings_Oorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3802]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21848,plain,
% 21.87/22.80      ( class_Orderings_Oorder(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21847]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3800,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9643_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21843,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3800]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21844,plain,
% 21.87/22.80      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21843]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3798,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9642_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21839,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3798]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21840,plain,
% 21.87/22.80      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21839]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3796,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9641_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21835,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3796]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21836,plain,
% 21.87/22.80      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21835]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3794,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_HOL_Ozero(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9640_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21831,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_HOL_Ozero(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3794]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21832,plain,
% 21.87/22.80      ( class_HOL_Ozero(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21831]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3792,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9639_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21827,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3792]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21828,plain,
% 21.87/22.80      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21827]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3790,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_HOL_Ominus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9638_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21823,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_HOL_Ominus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3790]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21824,plain,
% 21.87/22.80      ( class_HOL_Ominus(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21823]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3788,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9637_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21819,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3788]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21820,plain,
% 21.87/22.80      ( class_LOrder_Ojoin__semilorder(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21819]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3786,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_LOrder_Olorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9636_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21815,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_LOrder_Olorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3786]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21816,plain,
% 21.87/22.80      ( class_LOrder_Olorder(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21815]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3784,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9635_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21811,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3784]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21812,plain,
% 21.87/22.80      ( class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21811]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3782,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9634_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21807,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3782]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21808,plain,
% 21.87/22.80      ( class_LOrder_Omeet__semilorder(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21807]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3780,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_HOL_Oplus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9633_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21803,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_HOL_Oplus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3780]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21804,plain,
% 21.87/22.80      ( class_HOL_Oplus(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21803]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3778,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9632_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21799,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3778]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21800,plain,
% 21.87/22.80      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21799]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3776,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9631_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21795,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3776]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21796,plain,
% 21.87/22.80      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21795]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3774,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9630_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21791,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3774]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21792,plain,
% 21.87/22.80      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21791]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3772,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9629_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21787,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3772]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21788,plain,
% 21.87/22.80      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21787]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3770,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9628_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21783,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3770]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21784,plain,
% 21.87/22.80      ( class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21783]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3768,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9627_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21779,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3768]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21780,plain,
% 21.87/22.80      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21779]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3766,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_Orderings_Oord(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9626_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21775,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_Orderings_Oord(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3766]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21776,plain,
% 21.87/22.80      ( class_Orderings_Oord(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21775]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3764,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_Orderings_Oorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9625_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21771,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_Orderings_Oorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3764]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21772,plain,
% 21.87/22.80      ( class_Orderings_Oorder(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21771]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3762,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9624_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21767,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3762]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21768,plain,
% 21.87/22.80      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21767]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3760,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9623_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21763,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3760]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21764,plain,
% 21.87/22.80      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21763]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3758,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9622_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21759,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3758]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21760,plain,
% 21.87/22.80      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21759]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3756,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_HOL_Ozero(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9621_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21755,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_HOL_Ozero(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3756]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21756,plain,
% 21.87/22.80      ( class_HOL_Ozero(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21755]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3754,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9620_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21751,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3754]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21752,plain,
% 21.87/22.80      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21751]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3752,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_HOL_Ominus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9619_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21747,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_HOL_Ominus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3752]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21748,plain,
% 21.87/22.80      ( class_HOL_Ominus(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21747]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3750,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9618_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21743,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3750]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21744,plain,
% 21.87/22.80      ( class_LOrder_Omeet__semilorder(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21743]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3748,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_LOrder_Olorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9617_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21739,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_LOrder_Olorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3748]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21740,plain,
% 21.87/22.80      ( class_LOrder_Olorder(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21739]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3746,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9616_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21735,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3746]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21736,plain,
% 21.87/22.80      ( class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21735]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3744,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9615_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21731,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3744]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21732,plain,
% 21.87/22.80      ( class_LOrder_Ojoin__semilorder(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21731]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3742,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_HOL_Oplus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9614_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21727,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_HOL_Oplus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3742]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21728,plain,
% 21.87/22.80      ( class_HOL_Oplus(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21727]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3740,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9613_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21723,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3740]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21724,plain,
% 21.87/22.80      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21723]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3738,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9612_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21719,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3738]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21720,plain,
% 21.87/22.80      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21719]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3736,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9611_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21715,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3736]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21716,plain,
% 21.87/22.80      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21715]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3734,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9610_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21711,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3734]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21712,plain,
% 21.87/22.80      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21711]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3732,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9609_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21707,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3732]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21708,plain,
% 21.87/22.80      ( class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21707]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3730,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9608_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21703,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3730]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21704,plain,
% 21.87/22.80      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21703]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3728,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9607_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21699,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3728]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3726,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9606_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21695,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3726]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3724,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9605_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21691,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3724]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3722,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9604_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21687,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3722]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21688,plain,
% 21.87/22.80      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21687]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3720,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_HOL_Ozero(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9603_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21683,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_HOL_Ozero(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3720]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3718,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9602_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21679,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3718]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3716,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_HOL_Ominus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9601_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21675,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_HOL_Ominus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3716]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3714,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9600_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21671,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3714]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3712,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_Orderings_Oord(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9599_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21667,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_Orderings_Oord(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3712]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21668,plain,
% 21.87/22.80      ( class_Orderings_Oord(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21667]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3710,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_Orderings_Oorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9598_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21663,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_Orderings_Oorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3710]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3708,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9597_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21659,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3708]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3706,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9596_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21655,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3706]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3704,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_LOrder_Olorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9595_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21651,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_LOrder_Olorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3704]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3702,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_HOL_Oplus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9594_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21647,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_HOL_Oplus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3702]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3700,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9593_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21643,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3700]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3698,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9592_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21639,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3698]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3696,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9591_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21635,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3696]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3694,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9590_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21631,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3694]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3692,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9589_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21627,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.80      | class_OrderedGroup_Olordered__ab__group(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3692]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3690,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_Orderings_Oord(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9588_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21623,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_Orderings_Oord(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3690]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21624,plain,
% 21.87/22.80      ( class_Orderings_Oord(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21623]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3688,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_Orderings_Oorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9587_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21619,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_Orderings_Oorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3688]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3686,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9586_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21615,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3686]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3684,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9585_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21611,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3684]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3682,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9584_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21607,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3682]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21608,plain,
% 21.87/22.80      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21607]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3680,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9583_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21603,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3680]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3678,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9582_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21599,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3678]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3676,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0) | class_HOL_Ominus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9581_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21595,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0) | class_HOL_Ominus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3676]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3674,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9580_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21591,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3674]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3672,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9579_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21587,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3672]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3670,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_LOrder_Olorder(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9578_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21583,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_LOrder_Olorder(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3670]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3668,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9577_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21579,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3668]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3666,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9576_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21575,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3666]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3664,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9575_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21571,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3664]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3662,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9574_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21567,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3662]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3660,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9573_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21563,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3660]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3658,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9572_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21559,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3658]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3656,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9571_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21555,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.80      | class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3656]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21556,plain,
% 21.87/22.80      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21555]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3654,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 21.87/22.80      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9570_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21551,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 21.87/22.80      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3654]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21552,plain,
% 21.87/22.80      ( class_OrderedGroup_Omonoid__mult(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21551]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3652,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9569_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21547,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3652]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3650,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9568_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21543,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3650]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3648,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9567_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21539,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3648]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3646,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0) | class_HOL_Oone(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9566_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21535,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0) | class_HOL_Oone(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3646]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21536,plain,
% 21.87/22.80      ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21535]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3644,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9565_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21531,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3644]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3642,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9564_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21527,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3642]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3640,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9563_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21523,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3640]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3638,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9562_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21519,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3638]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3636,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.87/22.80      | class_HOL_Oplus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9561_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21515,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.87/22.80      | class_HOL_Oplus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3636]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3634,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9560_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21511,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3634]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3632,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9559_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21507,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3632]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21508,plain,
% 21.87/22.80      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21507]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3630,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_HOL_Oplus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9558_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21503,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_HOL_Oplus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3630]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21504,plain,
% 21.87/22.80      ( class_HOL_Oplus(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21503]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3628,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9557_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21499,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3628]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21500,plain,
% 21.87/22.80      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21499]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3626,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9556_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21495,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3626]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3624,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__semigroup__mult(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9555_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21491,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__semigroup__mult(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3624]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21492,plain,
% 21.87/22.80      ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21491]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3622,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9554_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21487,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3622]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21488,plain,
% 21.87/22.80      ( class_OrderedGroup_Osemigroup__mult(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21487]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3620,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__semigroup__add(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9553_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21483,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__semigroup__add(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3620]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21484,plain,
% 21.87/22.80      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21483]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3618,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9552_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21479,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3618]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21480,plain,
% 21.87/22.80      ( class_OrderedGroup_Osemigroup__add(X0)
% 21.87/22.80      | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21479]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3616,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9551_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21475,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3616]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3614,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9550_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21471,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3614]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3612,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9549_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21467,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3612]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3610,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9548_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21463,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3610]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3608,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9547_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21459,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3608]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3606,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9546_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21455,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3606]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3604,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9545_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21451,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3604]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3602,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Ominus(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9544_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21447,plain,
% 21.87/22.80      ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Ominus(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3602]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3600,plain,
% 21.87/22.80      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9543_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21443,plain,
% 21.87/22.80      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.80      | class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3600]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3598,plain,
% 21.87/22.80      ( ~ class_Numeral_Onumber__ring(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9542_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21439,plain,
% 21.87/22.80      ( ~ class_Numeral_Onumber__ring(X0) | class_HOL_Ozero(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3598]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3596,plain,
% 21.87/22.80      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9541_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21435,plain,
% 21.87/22.80      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__semiring(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3596]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3594,plain,
% 21.87/22.80      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9540_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21431,plain,
% 21.87/22.80      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.80      | class_Ring__and__Field_Osemiring(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3594]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21432,plain,
% 21.87/22.80      ( class_Ring__and__Field_Osemiring(X0)
% 21.87/22.80      | ~ class_Numeral_Onumber__ring(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21431]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3592,plain,
% 21.87/22.80      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9539_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21427,plain,
% 21.87/22.80      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.80      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3592]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3590,plain,
% 21.87/22.80      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9538_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21423,plain,
% 21.87/22.80      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.80      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3590]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3588,plain,
% 21.87/22.80      ( ~ class_Numeral_Onumber__ring(X0) | class_Numeral_Onumber(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9537_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21419,plain,
% 21.87/22.80      ( ~ class_Numeral_Onumber__ring(X0) | class_Numeral_Onumber(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3588]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21420,plain,
% 21.87/22.80      ( class_Numeral_Onumber(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21419]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3586,plain,
% 21.87/22.80      ( ~ class_Numeral_Onumber__ring(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9536_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21415,plain,
% 21.87/22.80      ( ~ class_Numeral_Onumber__ring(X0) | class_HOL_Otimes(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3586]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3584,plain,
% 21.87/22.80      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 21.87/22.80      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9535_0) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21411,plain,
% 21.87/22.80      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.80      | class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 21.87/22.80      inference(copy,[status(esa)],[c_3584]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_21412,plain,
% 21.87/22.80      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.80      | ~ class_Numeral_Onumber__ring(X0) ),
% 21.87/22.80      inference(rewriting,[status(thm)],[c_21411]) ).
% 21.87/22.80  
% 21.87/22.80  cnf(c_3582,plain,
% 21.87/22.80      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9534_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21407,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3582]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3580,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_Ring__and__Field_Oring__1(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9533_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21403,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_Ring__and__Field_Oring__1(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3580]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3578,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9532_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21399,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3578]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3576,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9531_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21395,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3576]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3574,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9530_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21391,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_Ring__and__Field_Osemiring__1(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3574]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3572,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9529_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21387,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3572]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3570,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9528_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21383,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_OrderedGroup_Omonoid__mult(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3570]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3568,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9527_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21379,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3568]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3566,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0) | class_HOL_Oone(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9526_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21375,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0) | class_HOL_Oone(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3566]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3564,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9525_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21371,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3564]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3562,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9524_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21367,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_Ring__and__Field_Ocomm__ring(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3562]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3560,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9523_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21363,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3560]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3558,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0) | class_Ring__and__Field_Oring(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9522_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21359,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0) | class_Ring__and__Field_Oring(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3558]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21360,plain,
% 21.87/22.81      ( class_Ring__and__Field_Oring(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21359]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3556,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9521_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21355,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3556]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3554,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9520_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21351,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_OrderedGroup_Oab__group__add(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3554]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3552,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9519_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21347,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3552]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3550,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9518_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21343,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3550]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3548,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0) | class_HOL_Ominus(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9517_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21339,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0) | class_HOL_Ominus(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3548]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3546,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9516_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21335,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3546]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3544,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9515_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21331,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_Ring__and__Field_Osemiring__0(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3544]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3542,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9514_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21327,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | class_OrderedGroup_Osemigroup__add(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3542]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3540,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9513_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21323,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0) | class_HOL_Oplus(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3540]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3538,plain,
% 21.87/22.81      ( ~ class_LOrder_Omeet__semilorder(X0) | class_Orderings_Oorder(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9512_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21319,plain,
% 21.87/22.81      ( ~ class_LOrder_Omeet__semilorder(X0) | class_Orderings_Oorder(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3538]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21320,plain,
% 21.87/22.81      ( class_Orderings_Oorder(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21319]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3536,plain,
% 21.87/22.81      ( ~ class_LOrder_Omeet__semilorder(X0) | class_Orderings_Oord(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9511_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21315,plain,
% 21.87/22.81      ( ~ class_LOrder_Omeet__semilorder(X0) | class_Orderings_Oord(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3536]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21316,plain,
% 21.87/22.81      ( class_Orderings_Oord(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21315]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3534,plain,
% 21.87/22.81      ( ~ class_LOrder_Olorder(X0) | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9510_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21311,plain,
% 21.87/22.81      ( ~ class_LOrder_Olorder(X0) | class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3534]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21312,plain,
% 21.87/22.81      ( class_LOrder_Ojoin__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21311]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3532,plain,
% 21.87/22.81      ( ~ class_LOrder_Olorder(X0) | class_Orderings_Oorder(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9509_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21307,plain,
% 21.87/22.81      ( ~ class_LOrder_Olorder(X0) | class_Orderings_Oorder(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3532]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21308,plain,
% 21.87/22.81      ( class_Orderings_Oorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21307]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3530,plain,
% 21.87/22.81      ( ~ class_LOrder_Olorder(X0) | class_Orderings_Oord(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9508_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21303,plain,
% 21.87/22.81      ( ~ class_LOrder_Olorder(X0) | class_Orderings_Oord(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3530]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21304,plain,
% 21.87/22.81      ( class_Orderings_Oord(X0) | ~ class_LOrder_Olorder(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21303]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3528,plain,
% 21.87/22.81      ( ~ class_LOrder_Olorder(X0) | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9507_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21299,plain,
% 21.87/22.81      ( ~ class_LOrder_Olorder(X0) | class_LOrder_Omeet__semilorder(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3528]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21300,plain,
% 21.87/22.81      ( class_LOrder_Omeet__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21299]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3526,plain,
% 21.87/22.81      ( ~ class_LOrder_Ojoin__semilorder(X0) | class_Orderings_Oorder(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9506_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21295,plain,
% 21.87/22.81      ( ~ class_LOrder_Ojoin__semilorder(X0) | class_Orderings_Oorder(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3526]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21296,plain,
% 21.87/22.81      ( class_Orderings_Oorder(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21295]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3524,plain,
% 21.87/22.81      ( ~ class_LOrder_Ojoin__semilorder(X0) | class_Orderings_Oord(X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9505_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21291,plain,
% 21.87/22.81      ( ~ class_LOrder_Ojoin__semilorder(X0) | class_Orderings_Oord(X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3524]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21292,plain,
% 21.87/22.81      ( class_Orderings_Oord(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21291]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3522,plain,
% 21.87/22.81      ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9504_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21287,plain,
% 21.87/22.81      ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3522]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3520,plain,
% 21.87/22.81      ( c_IntDef_Oint(X0) != c_IntDef_Oint(X1) | X0 = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9503_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21283,plain,
% 21.87/22.81      ( c_IntDef_Oint(X0) != c_IntDef_Oint(X1) | X0 = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3520]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3518,plain,
% 21.87/22.81      ( ~ class_Finite__Set_Ofinite(X0)
% 21.87/22.81      | class_Finite__Set_Ofinite(tc_set(X0)) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9502_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21279,plain,
% 21.87/22.81      ( ~ class_Finite__Set_Ofinite(X0)
% 21.87/22.81      | class_Finite__Set_Ofinite(tc_set(X0)) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3518]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21280,plain,
% 21.87/22.81      ( class_Finite__Set_Ofinite(tc_set(X0))
% 21.87/22.81      | ~ class_Finite__Set_Ofinite(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21279]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3516,plain,
% 21.87/22.81      ( ~ class_Finite__Set_Ofinite(X0)
% 21.87/22.81      | class_Finite__Set_Ofinite(tc_Datatype_Ooption(X0)) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9501_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21275,plain,
% 21.87/22.81      ( ~ class_Finite__Set_Ofinite(X0)
% 21.87/22.81      | class_Finite__Set_Ofinite(tc_Datatype_Ooption(X0)) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3516]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21276,plain,
% 21.87/22.81      ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X0))
% 21.87/22.81      | ~ class_Finite__Set_Ofinite(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21275]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3514,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_HOL_Oabs(c_1,X0) = c_1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9500_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21271,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_HOL_Oabs(c_1,X0) = c_1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3514]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3512,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.81      | c_OrderedGroup_Opprt(c_0,X0) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9499_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21267,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.81      | c_OrderedGroup_Opprt(c_0,X0) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3512]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3510,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.81      | c_OrderedGroup_Onprt(c_0,X0) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9498_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21263,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.81      | c_OrderedGroup_Onprt(c_0,X0) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3510]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3506,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Oab__group__add(X0) | c_uminus(c_0,X0) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9496_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21255,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Oab__group__add(X0) | c_uminus(c_0,X0) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3506]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3502,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.81      | c_HOL_Oabs(c_0,X0) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9494_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21247,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.81      | c_HOL_Oabs(c_0,X0) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3502]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3500,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | c_Numeral_Onumber__of(c_Numeral_OPls,X0) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9493_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21243,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | c_Numeral_Onumber__of(c_Numeral_OPls,X0) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3500]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3496,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.81      | c_NatArith_Oof__nat(c_1,X0) = c_1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9491_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21235,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.81      | c_NatArith_Oof__nat(c_1,X0) = c_1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3496]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3494,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.81      | c_NatArith_Oof__nat(c_0,X0) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9490_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21231,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.81      | c_NatArith_Oof__nat(c_0,X0) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3494]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3490,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.81      | c_IntDef_Oof__int(c_1,X0) = c_1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9488_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21223,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.81      | c_IntDef_Oof__int(c_1,X0) = c_1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3490]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3488,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_IntDef_Oof__int(c_0,X0) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9487_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21219,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_IntDef_Oof__int(c_0,X0) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3488]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3484,plain,
% 21.87/22.81      ( c_List_Oset(X0,X1) != c_emptyset | X0 = c_List_Olist_ONil ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9485_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21211,plain,
% 21.87/22.81      ( c_List_Oset(X0,X1) != c_emptyset | X0 = c_List_Olist_ONil ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3484]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3482,plain,
% 21.87/22.81      ( c_List_Orotate1(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9484_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21207,plain,
% 21.87/22.81      ( c_List_Orotate1(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3482]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3476,plain,
% 21.87/22.81      ( c_List_Oremdups(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9481_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21195,plain,
% 21.87/22.81      ( c_List_Oremdups(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3476]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3474,plain,
% 21.87/22.81      ( c_List_Orev(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9480_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21191,plain,
% 21.87/22.81      ( c_List_Orev(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3474]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3472,plain,
% 21.87/22.81      ( c_Datatype_Oo2s(X0,X1) != c_emptyset | X0 = c_Datatype_Ooption_ONone ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9479_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21187,plain,
% 21.87/22.81      ( c_Datatype_Oo2s(X0,X1) != c_emptyset | X0 = c_Datatype_Ooption_ONone ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3472]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3469,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_HOL_Oinverse(c_0,X0) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9478_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21181,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_HOL_Oinverse(c_0,X0) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3469]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3466,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_HOL_Oinverse(c_1,X0) = c_1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9477_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21175,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_HOL_Oinverse(c_1,X0) = c_1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3466]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3464,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0) | ~ c_IntDef_Oneg(c_1,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9476_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21171,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0) | ~ c_IntDef_Oneg(c_1,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3464]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21172,plain,
% 21.87/22.81      ( ~ c_IntDef_Oneg(c_1,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21171]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3462,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0) | ~ c_IntDef_Oneg(c_0,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9475_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21167,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0) | ~ c_IntDef_Oneg(c_0,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3462]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21168,plain,
% 21.87/22.81      ( ~ c_IntDef_Oneg(c_0,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21167]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3460,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.81      | ~ c_IntDef_Oiszero(c_1,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9474_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21163,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.81      | ~ c_IntDef_Oiszero(c_1,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3460]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21164,plain,
% 21.87/22.81      ( ~ c_IntDef_Oiszero(c_1,X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21163]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3457,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_uminus(X1,X0) != c_0
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9473_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21157,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_uminus(X1,X0) != c_0
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3457]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3454,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_uminus(X1,X0) != c_0
% 21.87/22.81      | c_0 = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9472_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21151,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_uminus(X1,X0) != c_0
% 21.87/22.81      | c_0 = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3454]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21152,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_0 = X1
% 21.87/22.81      | c_uminus(X1,X0) != c_0 ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21151]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3448,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.81      | c_HOL_Oabs(X1,X0) != c_0
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9470_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21139,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.81      | c_HOL_Oabs(X1,X0) != c_0
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3448]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3445,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.81      | c_NatArith_Oof__nat(X1,X0) != c_0
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9469_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21133,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.81      | c_NatArith_Oof__nat(X1,X0) != c_0
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3445]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3442,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.81      | c_NatArith_Oof__nat(X1,X0) != c_0
% 21.87/22.81      | c_0 = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9468_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21127,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.81      | c_NatArith_Oof__nat(X1,X0) != c_0
% 21.87/22.81      | c_0 = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3442]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21128,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.81      | c_0 = X1
% 21.87/22.81      | c_NatArith_Oof__nat(X1,X0) != c_0 ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21127]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3439,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_IntDef_Oof__int(X1,X0) != c_0
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9467_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21121,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_IntDef_Oof__int(X1,X0) != c_0
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3439]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3436,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_IntDef_Oof__int(X1,X0) != c_0
% 21.87/22.81      | c_0 = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9466_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21115,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_IntDef_Oof__int(X1,X0) != c_0
% 21.87/22.81      | c_0 = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3436]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21116,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_0 = X1
% 21.87/22.81      | c_IntDef_Oof__int(X1,X0) != c_0 ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21115]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3434,plain,
% 21.87/22.81      ( c_Parity_Oeven(X0,tc_nat) | c_Parity_Oeven(c_Suc(X0),tc_nat) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9465_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21111,plain,
% 21.87/22.81      ( c_Parity_Oeven(X0,tc_nat) | c_Parity_Oeven(c_Suc(X0),tc_nat) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3434]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21112,plain,
% 21.87/22.81      ( c_Parity_Oeven(c_Suc(X0),tc_nat) | c_Parity_Oeven(X0,tc_nat) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21111]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3432,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | c_Numeral_Onumber__of(c_Numeral_OMin,X0) = c_uminus(c_1,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9464_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21107,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | c_Numeral_Onumber__of(c_Numeral_OMin,X0) = c_uminus(c_1,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3432]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3430,plain,
% 21.87/22.81      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_0 | X0 = c_List_Olist_ONil ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9463_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21103,plain,
% 21.87/22.81      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_0 | X0 = c_List_Olist_ONil ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3430]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3428,plain,
% 21.87/22.81      ( c_Main_Oempty__Union__conv__1(X0,X1) != c_emptyset
% 21.87/22.81      | c_Union(X0,X1) = c_emptyset ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9462_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21099,plain,
% 21.87/22.81      ( c_Main_Oempty__Union__conv__1(X0,X1) != c_emptyset
% 21.87/22.81      | c_Union(X0,X1) = c_emptyset ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3428]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21100,plain,
% 21.87/22.81      ( c_Union(X0,X1) = c_emptyset
% 21.87/22.81      | c_Main_Oempty__Union__conv__1(X0,X1) != c_emptyset ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21099]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3426,plain,
% 21.87/22.81      ( c_Main_OUnion__empty__conv__1(X0,X1) != c_emptyset
% 21.87/22.81      | c_Union(X0,X1) = c_emptyset ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9461_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21095,plain,
% 21.87/22.81      ( c_Main_OUnion__empty__conv__1(X0,X1) != c_emptyset
% 21.87/22.81      | c_Union(X0,X1) = c_emptyset ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3426]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21096,plain,
% 21.87/22.81      ( c_Union(X0,X1) = c_emptyset
% 21.87/22.81      | c_Main_OUnion__empty__conv__1(X0,X1) != c_emptyset ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21095]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3424,plain,
% 21.87/22.81      ( c_Main_OInter__UNIV__conv__2__1(X0,X1) != c_UNIV
% 21.87/22.81      | c_Inter(X0,X1) = c_UNIV ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9460_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21091,plain,
% 21.87/22.81      ( c_Main_OInter__UNIV__conv__2__1(X0,X1) != c_UNIV
% 21.87/22.81      | c_Inter(X0,X1) = c_UNIV ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3424]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21092,plain,
% 21.87/22.81      ( c_Inter(X0,X1) = c_UNIV
% 21.87/22.81      | c_Main_OInter__UNIV__conv__2__1(X0,X1) != c_UNIV ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21091]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3422,plain,
% 21.87/22.81      ( c_Main_OInter__UNIV__conv__1__1(X0,X1) != c_UNIV
% 21.87/22.81      | c_Inter(X0,X1) = c_UNIV ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9459_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21087,plain,
% 21.87/22.81      ( c_Main_OInter__UNIV__conv__1__1(X0,X1) != c_UNIV
% 21.87/22.81      | c_Inter(X0,X1) = c_UNIV ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3422]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21088,plain,
% 21.87/22.81      ( c_Inter(X0,X1) = c_UNIV
% 21.87/22.81      | c_Main_OInter__UNIV__conv__1__1(X0,X1) != c_UNIV ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21087]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3420,plain,
% 21.87/22.81      ( c_Main_Oconcat__eq__Nil__conv__1(X0,X1) != c_List_Olist_ONil
% 21.87/22.81      | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9458_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21083,plain,
% 21.87/22.81      ( c_Main_Oconcat__eq__Nil__conv__1(X0,X1) != c_List_Olist_ONil
% 21.87/22.81      | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3420]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21084,plain,
% 21.87/22.81      ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 21.87/22.81      | c_Main_Oconcat__eq__Nil__conv__1(X0,X1) != c_List_Olist_ONil ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21083]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3418,plain,
% 21.87/22.81      ( c_Main_ONil__eq__concat__conv__1(X0,X1) != c_List_Olist_ONil
% 21.87/22.81      | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9457_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21079,plain,
% 21.87/22.81      ( c_Main_ONil__eq__concat__conv__1(X0,X1) != c_List_Olist_ONil
% 21.87/22.81      | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3418]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21080,plain,
% 21.87/22.81      ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 21.87/22.81      | c_Main_ONil__eq__concat__conv__1(X0,X1) != c_List_Olist_ONil ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21079]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3416,plain,
% 21.87/22.81      ( c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1)
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9456_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21075,plain,
% 21.87/22.81      ( c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1)
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3416]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3414,plain,
% 21.87/22.81      ( c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1)
% 21.87/22.81      | X0 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9455_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21071,plain,
% 21.87/22.81      ( c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1)
% 21.87/22.81      | X0 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3414]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3410,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_HOL_Oinverse(X1,X0) != c_0
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9454_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21063,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_HOL_Oinverse(X1,X0) != c_0
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3410]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3406,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_HOL_Oinverse(X1,X0) != c_1
% 21.87/22.81      | X1 = c_1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9453_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21055,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_HOL_Oinverse(X1,X0) != c_1
% 21.87/22.81      | X1 = c_1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3406]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3404,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0) = c_1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9452_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21051,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0) = c_1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3404]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3402,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.81      | c_IntDef_Oof__int(c_IntDef_Oint(X1),X0) = c_NatArith_Oof__nat(X1,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9451_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21047,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.81      | c_IntDef_Oof__int(c_IntDef_Oint(X1),X0) = c_NatArith_Oof__nat(X1,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3402]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3400,plain,
% 21.87/22.81      ( X0 = c_Datatype_Ooption_ONone
% 21.87/22.81      | c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X0,X1),X1) = X0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9450_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21043,plain,
% 21.87/22.81      ( X0 = c_Datatype_Ooption_ONone
% 21.87/22.81      | c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X0,X1),X1) = X0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3400]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21044,plain,
% 21.87/22.81      ( c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X0,X1),X1) = X0
% 21.87/22.81      | X0 = c_Datatype_Ooption_ONone ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21043]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3398,plain,
% 21.87/22.81      ( X0 = c_Datatype_Ooption_ONone
% 21.87/22.81      | c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X0,X1),X1) = X0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9449_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21039,plain,
% 21.87/22.81      ( X0 = c_Datatype_Ooption_ONone
% 21.87/22.81      | c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X0,X1),X1) = X0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3398]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21040,plain,
% 21.87/22.81      ( c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X0,X1),X1) = X0
% 21.87/22.81      | X0 = c_Datatype_Ooption_ONone ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_21039]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3396,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9448_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21035,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3396]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3395,plain,
% 21.87/22.81      ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 21.87/22.81      | ~ class_Finite__Set_Ofinite(X0)
% 21.87/22.81      | ~ class_Finite__Set_Ofinite(X1) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9447_2) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21033,plain,
% 21.87/22.81      ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 21.87/22.81      | ~ class_Finite__Set_Ofinite(X0)
% 21.87/22.81      | ~ class_Finite__Set_Ofinite(X1) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3395]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3392,plain,
% 21.87/22.81      ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 21.87/22.81      | ~ class_Finite__Set_Ofinite(X0)
% 21.87/22.81      | ~ class_Finite__Set_Ofinite(X1) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9446_2) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21027,plain,
% 21.87/22.81      ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 21.87/22.81      | ~ class_Finite__Set_Ofinite(X0)
% 21.87/22.81      | ~ class_Finite__Set_Ofinite(X1) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3392]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3389,plain,
% 21.87/22.81      ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 21.87/22.81      | ~ class_Finite__Set_Ofinite(X0)
% 21.87/22.81      | ~ class_Finite__Set_Ofinite(X1) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9445_2) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21021,plain,
% 21.87/22.81      ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 21.87/22.81      | ~ class_Finite__Set_Ofinite(X0)
% 21.87/22.81      | ~ class_Finite__Set_Ofinite(X1) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3389]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3385,plain,
% 21.87/22.81      ( c_List_Orev(X0,X1) != c_List_Orev(X2,X1) | X0 = X2 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9444_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21013,plain,
% 21.87/22.81      ( c_List_Orev(X0,X1) != c_List_Orev(X2,X1) | X0 = X2 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3385]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3383,plain,
% 21.87/22.81      ( c_List_Ochar_OChar(X0,X1) != c_List_Ochar_OChar(X2,X3) | X1 = X3 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9443_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21009,plain,
% 21.87/22.81      ( c_List_Ochar_OChar(X0,X1) != c_List_Ochar_OChar(X2,X3) | X1 = X3 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3383]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3381,plain,
% 21.87/22.81      ( c_List_Ochar_OChar(X0,X1) != c_List_Ochar_OChar(X2,X3) | X0 = X2 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9442_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21005,plain,
% 21.87/22.81      ( c_List_Ochar_OChar(X0,X1) != c_List_Ochar_OChar(X2,X3) | X0 = X2 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3381]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3379,plain,
% 21.87/22.81      ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_OSome(X2,X1)
% 21.87/22.81      | X0 = X2 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9441_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_21001,plain,
% 21.87/22.81      ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_OSome(X2,X1)
% 21.87/22.81      | X0 = X2 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3379]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3377,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_uminus(c_uminus(X1,X0),X0) = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9440_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20997,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_uminus(c_uminus(X1,X0),X0) = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3377]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3375,plain,
% 21.87/22.81      ( ~ c_Parity_Oeven(X0,tc_nat) | ~ c_Parity_Oeven(c_Suc(X0),tc_nat) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9439_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20993,plain,
% 21.87/22.81      ( ~ c_Parity_Oeven(X0,tc_nat) | ~ c_Parity_Oeven(c_Suc(X0),tc_nat) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3375]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20994,plain,
% 21.87/22.81      ( ~ c_Parity_Oeven(c_Suc(X0),tc_nat) | ~ c_Parity_Oeven(X0,tc_nat) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20993]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3368,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9437_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20979,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3368]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20980,plain,
% 21.87/22.81      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | ~ class_Numeral_Onumber__ring(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20979]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3360,plain,
% 21.87/22.81      ( c_less(c_0,X0,tc_nat) | X0 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9434_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20963,plain,
% 21.87/22.81      ( c_less(c_0,X0,tc_nat) | X0 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3360]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3358,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9433_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20959,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3358]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3355,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.81      | c_SetInterval_OlessThan(X1,X0) != c_SetInterval_OlessThan(X2,X0)
% 21.87/22.81      | X1 = X2 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9432_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20953,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.81      | c_SetInterval_OlessThan(X1,X0) != c_SetInterval_OlessThan(X2,X0)
% 21.87/22.81      | X1 = X2 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3355]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3352,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.81      | c_SetInterval_OgreaterThan(X1,X0) != c_SetInterval_OgreaterThan(X2,X0)
% 21.87/22.81      | X1 = X2 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9431_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20947,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.81      | c_SetInterval_OgreaterThan(X1,X0) != c_SetInterval_OgreaterThan(X2,X0)
% 21.87/22.81      | X1 = X2 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3352]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3349,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.81      | c_SetInterval_OatMost(X1,X0) != c_SetInterval_OatMost(X2,X0)
% 21.87/22.81      | X1 = X2 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9430_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20941,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.81      | c_SetInterval_OatMost(X1,X0) != c_SetInterval_OatMost(X2,X0)
% 21.87/22.81      | X1 = X2 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3349]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3346,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.81      | c_SetInterval_OatLeast(X1,X0) != c_SetInterval_OatLeast(X2,X0)
% 21.87/22.81      | X1 = X2 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9429_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20935,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.81      | c_SetInterval_OatLeast(X1,X0) != c_SetInterval_OatLeast(X2,X0)
% 21.87/22.81      | X1 = X2 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3346]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3343,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_uminus(X1,X0) != c_uminus(X2,X0)
% 21.87/22.81      | X1 = X2 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9428_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20929,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_uminus(X1,X0) != c_uminus(X2,X0)
% 21.87/22.81      | X1 = X2 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3343]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3340,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.81      | c_NatArith_Oof__nat(X1,X0) != c_NatArith_Oof__nat(X2,X0)
% 21.87/22.81      | X1 = X2 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9427_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20923,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.81      | c_NatArith_Oof__nat(X1,X0) != c_NatArith_Oof__nat(X2,X0)
% 21.87/22.81      | X1 = X2 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3340]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3337,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_IntDef_Oof__int(X1,X0) != c_IntDef_Oof__int(X2,X0)
% 21.87/22.81      | X1 = X2 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9426_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20917,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_IntDef_Oof__int(X1,X0) != c_IntDef_Oof__int(X2,X0)
% 21.87/22.81      | X1 = X2 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3337]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3335,plain,
% 21.87/22.81      ( c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint)
% 21.87/22.81      | X0 = c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint)) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9425_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20913,plain,
% 21.87/22.81      ( c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint)
% 21.87/22.81      | X0 = c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint)) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3335]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3333,plain,
% 21.87/22.81      ( X0 = c_0 | c_div(X0,X0,tc_IntDef_Oint) = c_1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9424_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20909,plain,
% 21.87/22.81      ( X0 = c_0 | c_div(X0,X0,tc_IntDef_Oint) = c_1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3333]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20910,plain,
% 21.87/22.81      ( c_div(X0,X0,tc_IntDef_Oint) = c_1 | X0 = c_0 ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20909]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3330,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_HOL_Oinverse(c_HOL_Oinverse(X1,X0),X0) = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9423_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20903,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_HOL_Oinverse(c_HOL_Oinverse(X1,X0),X0) = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3330]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3328,plain,
% 21.87/22.81      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.87/22.81      | c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9422_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20899,plain,
% 21.87/22.81      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.87/22.81      | c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3328]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20900,plain,
% 21.87/22.81      ( c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20899]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3326,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.81      | c_IntDef_Oof__int(c_NatArith_Oof__nat(X1,tc_IntDef_Oint),X0) = c_NatArith_Oof__nat(X1,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9421_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20895,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.81      | c_IntDef_Oof__int(c_NatArith_Oof__nat(X1,tc_IntDef_Oint),X0) = c_NatArith_Oof__nat(X1,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3326]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3324,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.81      | c_lessequals(c_0,c_1,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9420_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20891,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.81      | c_lessequals(c_0,c_1,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3324]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20892,plain,
% 21.87/22.81      ( c_lessequals(c_0,c_1,X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20891]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3322,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | c_less(c_0,c_1,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9419_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20887,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | c_less(c_0,c_1,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3322]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20888,plain,
% 21.87/22.81      ( c_less(c_0,c_1,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20887]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3320,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.81      | c_in(c_1,c_IntDef_ONats,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9418_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20883,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.81      | c_in(c_1,c_IntDef_ONats,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3320]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20884,plain,
% 21.87/22.81      ( c_in(c_1,c_IntDef_ONats,X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20883]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3318,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.81      | c_in(c_0,c_IntDef_ONats,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9417_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20879,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.81      | c_in(c_0,c_IntDef_ONats,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3318]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20880,plain,
% 21.87/22.81      ( c_in(c_0,c_IntDef_ONats,X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20879]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3316,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.81      | c_in(c_1,c_IntDef_OInts,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9416_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20875,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.81      | c_in(c_1,c_IntDef_OInts,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3316]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20876,plain,
% 21.87/22.81      ( c_in(c_1,c_IntDef_OInts,X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20875]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3314,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.81      | c_in(c_0,c_IntDef_OInts,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9415_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20871,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.81      | c_in(c_0,c_IntDef_OInts,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3314]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20872,plain,
% 21.87/22.81      ( c_in(c_0,c_IntDef_OInts,X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20871]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3312,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.87/22.81      | c_times(X1,c_0,X0) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9414_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20867,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.87/22.81      | c_times(X1,c_0,X0) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3312]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3310,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.87/22.81      | c_times(c_0,X1,X0) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9413_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20863,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 21.87/22.81      | c_times(c_0,X1,X0) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3310]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3308,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_times(X1,c_0,X0) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9412_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20859,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_times(X1,c_0,X0) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3308]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3306,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_times(c_0,X1,X0) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9411_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20855,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_times(c_0,X1,X0) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3306]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3304,plain,
% 21.87/22.81      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(X1,c_0,X0) = c_1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9410_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20851,plain,
% 21.87/22.81      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(X1,c_0,X0) = c_1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3304]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3302,plain,
% 21.87/22.81      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(c_1,X1,X0) = c_1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9409_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20847,plain,
% 21.87/22.81      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(c_1,X1,X0) = c_1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3302]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3298,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_HOL_Oinverse(X1,X0) != c_HOL_Oinverse(X2,X0)
% 21.87/22.81      | X1 = X2 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9408_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20839,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_HOL_Oinverse(X1,X0) != c_HOL_Oinverse(X2,X0)
% 21.87/22.81      | X1 = X2 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3298]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3296,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0) | c_times(c_1,X1,X0) = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9407_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20835,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0) | c_times(c_1,X1,X0) = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3296]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3294,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0) | c_times(X1,c_1,X0) = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9406_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20831,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0) | c_times(X1,c_1,X0) = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3294]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3292,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ofield(X0) | c_divide(X1,c_1,X0) = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9405_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20827,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ofield(X0) | c_divide(X1,c_1,X0) = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3292]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3290,plain,
% 21.87/22.81      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(X1,c_1,X0) = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9404_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20823,plain,
% 21.87/22.81      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(X1,c_1,X0) = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3290]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3288,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Omonoid__mult(X0) | c_times(X1,c_1,X0) = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9403_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20819,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Omonoid__mult(X0) | c_times(X1,c_1,X0) = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3288]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3286,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Omonoid__mult(X0) | c_times(c_1,X1,X0) = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9402_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20815,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Omonoid__mult(X0) | c_times(c_1,X1,X0) = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3286]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3284,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Oab__group__add(X0) | c_minus(X1,c_0,X0) = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9401_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20811,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Oab__group__add(X0) | c_minus(X1,c_0,X0) = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3284]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3282,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | c_plus(c_0,X1,X0) = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9400_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20807,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | c_plus(c_0,X1,X0) = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3282]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3280,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | c_plus(X1,c_0,X0) = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9399_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20803,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | c_plus(X1,c_0,X0) = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3280]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3278,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.81      | c_HOL_Oabs(c_uminus(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9398_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20799,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.81      | c_HOL_Oabs(c_uminus(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3278]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3276,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.81      | c_HOL_Oabs(c_HOL_Oabs(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9397_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20795,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.81      | c_HOL_Oabs(c_HOL_Oabs(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3276]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3274,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Oab__group__add(X0) | c_minus(X1,X1,X0) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9396_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20791,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Oab__group__add(X0) | c_minus(X1,X1,X0) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3274]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3272,plain,
% 21.87/22.81      ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9395_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20787,plain,
% 21.87/22.81      ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3272]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20788,plain,
% 21.87/22.81      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20787]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3270,plain,
% 21.87/22.81      ( c_lessequals(c_0,X0,tc_IntDef_Oint)
% 21.87/22.81      | c_IntDef_Oint(c_IntDef_Onat(X0)) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9394_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20783,plain,
% 21.87/22.81      ( c_lessequals(c_0,X0,tc_IntDef_Oint)
% 21.87/22.81      | c_IntDef_Oint(c_IntDef_Onat(X0)) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3270]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3268,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0) | c_Orderings_Omax(X1,X1,X0) = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9393_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20779,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0) | c_Orderings_Omax(X1,X1,X0) = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3268]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3266,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0) | c_Orderings_Omin(X1,X1,X0) = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9392_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20775,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0) | c_Orderings_Omin(X1,X1,X0) = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3266]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3264,plain,
% 21.87/22.81      ( ~ class_LOrder_Omeet__semilorder(X0) | c_LOrder_Omeet(X1,X1,X0) = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9391_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20771,plain,
% 21.87/22.81      ( ~ class_LOrder_Omeet__semilorder(X0) | c_LOrder_Omeet(X1,X1,X0) = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3264]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3262,plain,
% 21.87/22.81      ( ~ class_LOrder_Ojoin__semilorder(X0) | c_LOrder_Ojoin(X1,X1,X0) = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9390_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20767,plain,
% 21.87/22.81      ( ~ class_LOrder_Ojoin__semilorder(X0) | c_LOrder_Ojoin(X1,X1,X0) = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3262]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3260,plain,
% 21.87/22.81      ( ~ c_List_Odistinct(X0,X1) | c_List_Odistinct(c_List_Orev(X0,X1),X1) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9389_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20763,plain,
% 21.87/22.81      ( ~ c_List_Odistinct(X0,X1) | c_List_Odistinct(c_List_Orev(X0,X1),X1) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3260]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20764,plain,
% 21.87/22.81      ( c_List_Odistinct(c_List_Orev(X0,X1),X1) | ~ c_List_Odistinct(X0,X1) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20763]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3258,plain,
% 21.87/22.81      ( ~ c_List_Odistinct(X0,X1)
% 21.87/22.81      | c_List_Odistinct(c_List_Orotate1(X0,X1),X1) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9388_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20759,plain,
% 21.87/22.81      ( ~ c_List_Odistinct(X0,X1)
% 21.87/22.81      | c_List_Odistinct(c_List_Orotate1(X0,X1),X1) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3258]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20760,plain,
% 21.87/22.81      ( c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 21.87/22.81      | ~ c_List_Odistinct(X0,X1) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20759]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3256,plain,
% 21.87/22.81      ( c_uminus(X0,tc_set(X1)) != c_uminus(X2,tc_set(X1)) | X0 = X2 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9387_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20755,plain,
% 21.87/22.81      ( c_uminus(X0,tc_set(X1)) != c_uminus(X2,tc_set(X1)) | X0 = X2 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3256]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3254,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9386_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20751,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3254]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3245,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_divide(c_0,c_0,X0) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9383_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20733,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_divide(c_0,c_0,X0) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3245]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3243,plain,
% 21.87/22.81      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(c_0,c_Suc(X1),X0) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9382_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20729,plain,
% 21.87/22.81      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(c_0,c_Suc(X1),X0) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3243]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3241,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.81      | c_uminus(c_SetInterval_OlessThan(X1,X0),tc_set(X0)) = c_SetInterval_OatLeast(X1,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9381_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20725,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.81      | c_uminus(c_SetInterval_OlessThan(X1,X0),tc_set(X0)) = c_SetInterval_OatLeast(X1,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3241]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3239,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.81      | c_uminus(c_SetInterval_OgreaterThan(X1,X0),tc_set(X0)) = c_SetInterval_OatMost(X1,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9380_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20721,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.81      | c_uminus(c_SetInterval_OgreaterThan(X1,X0),tc_set(X0)) = c_SetInterval_OatMost(X1,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3239]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3237,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.81      | c_uminus(c_SetInterval_OatMost(X1,X0),tc_set(X0)) = c_SetInterval_OgreaterThan(X1,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9379_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20717,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.81      | c_uminus(c_SetInterval_OatMost(X1,X0),tc_set(X0)) = c_SetInterval_OgreaterThan(X1,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3237]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3235,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.81      | c_uminus(c_SetInterval_OatLeast(X1,X0),tc_set(X0)) = c_SetInterval_OlessThan(X1,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9378_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20713,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.81      | c_uminus(c_SetInterval_OatLeast(X1,X0),tc_set(X0)) = c_SetInterval_OlessThan(X1,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3235]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3233,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | c_uminus(c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9377_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20709,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | c_uminus(c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3233]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3230,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_divide(X1,c_0,X0) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9376_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20703,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_divide(X1,c_0,X0) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3230]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3227,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_divide(c_0,X1,X0) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9375_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20697,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_divide(c_0,X1,X0) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3227]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3225,plain,
% 21.87/22.81      ( ~ c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9374_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20693,plain,
% 21.87/22.81      ( ~ c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3225]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3219,plain,
% 21.87/22.81      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9371_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20681,plain,
% 21.87/22.81      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3219]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3217,plain,
% 21.87/22.81      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9370_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20677,plain,
% 21.87/22.81      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3217]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3215,plain,
% 21.87/22.81      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 21.87/22.81      | c_Wellfounded__Recursion_Owf(c_List_Olex(X0,X1),tc_List_Olist(X1)) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9369_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20673,plain,
% 21.87/22.81      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 21.87/22.81      | c_Wellfounded__Recursion_Owf(c_List_Olex(X0,X1),tc_List_Olist(X1)) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3215]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20674,plain,
% 21.87/22.81      ( c_Wellfounded__Recursion_Owf(c_List_Olex(X0,X1),tc_List_Olist(X1))
% 21.87/22.81      | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20673]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3213,plain,
% 21.87/22.81      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 21.87/22.81      | c_Wellfounded__Recursion_Owf(c_List_Olenlex(X0,X1),tc_List_Olist(X1)) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9368_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20669,plain,
% 21.87/22.81      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 21.87/22.81      | c_Wellfounded__Recursion_Owf(c_List_Olenlex(X0,X1),tc_List_Olist(X1)) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3213]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20670,plain,
% 21.87/22.81      ( c_Wellfounded__Recursion_Owf(c_List_Olenlex(X0,X1),tc_List_Olist(X1))
% 21.87/22.81      | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20669]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3202,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9365_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20647,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3202]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20648,plain,
% 21.87/22.81      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | ~ class_Numeral_Onumber__ring(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20647]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3200,plain,
% 21.87/22.81      ( c_lessequals(X0,X1,tc_nat)
% 21.87/22.81      | c_List_Oupt(X0,c_Suc(X1)) = c_List_Olist_ONil ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9364_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20643,plain,
% 21.87/22.81      ( c_lessequals(X0,X1,tc_nat)
% 21.87/22.81      | c_List_Oupt(X0,c_Suc(X1)) = c_List_Olist_ONil ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3200]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3198,plain,
% 21.87/22.81      ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.87/22.81      | c_Finite__Set_Ocard(X0,X1) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9363_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20639,plain,
% 21.87/22.81      ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.87/22.81      | c_Finite__Set_Ocard(X0,X1) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3198]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3196,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_minus(c_0,X1,X0) = c_uminus(X1,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9362_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20635,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_minus(c_0,X1,X0) = c_uminus(X1,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3196]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3194,plain,
% 21.87/22.81      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9361_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20631,plain,
% 21.87/22.81      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3194]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3189,plain,
% 21.87/22.81      ( ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) | c_List_Odistinct(X0,X1) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9359_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20621,plain,
% 21.87/22.81      ( ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) | c_List_Odistinct(X0,X1) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3189]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3187,plain,
% 21.87/22.81      ( ~ c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 21.87/22.81      | c_List_Odistinct(X0,X1) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9358_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20617,plain,
% 21.87/22.81      ( ~ c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 21.87/22.81      | c_List_Odistinct(X0,X1) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3187]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3185,plain,
% 21.87/22.81      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X0),tc_nat) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9357_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20613,plain,
% 21.87/22.81      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X0),tc_nat) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3185]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3183,plain,
% 21.87/22.81      ( c_in(c_Main_Oall__not__in__conv__1(X0,X1),X0,X1) | X0 = c_emptyset ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9356_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20609,plain,
% 21.87/22.81      ( c_in(c_Main_Oall__not__in__conv__1(X0,X1),X0,X1) | X0 = c_emptyset ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3183]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3181,plain,
% 21.87/22.81      ( ~ c_less(X0,c_1,tc_nat) | X0 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9355_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20605,plain,
% 21.87/22.81      ( ~ c_less(X0,c_1,tc_nat) | X0 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3181]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3179,plain,
% 21.87/22.81      ( ~ c_lessequals(X0,c_0,tc_nat) | X0 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9354_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20601,plain,
% 21.87/22.81      ( ~ c_lessequals(X0,c_0,tc_nat) | X0 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3179]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3177,plain,
% 21.87/22.81      ( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint) | X0 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9353_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20597,plain,
% 21.87/22.81      ( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint) | X0 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3177]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3175,plain,
% 21.87/22.81      ( ~ c_Divides_Oop_Advd(c_0,X0,tc_nat) | X0 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9352_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20593,plain,
% 21.87/22.81      ( ~ c_Divides_Oop_Advd(c_0,X0,tc_nat) | X0 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3175]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3173,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.81      | c_LOrder_Omeet(c_0,c_uminus(c_0,X0),X0) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9351_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20589,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.81      | c_LOrder_Omeet(c_0,c_uminus(c_0,X0),X0) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3173]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3171,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.81      | c_LOrder_Ojoin(c_0,c_uminus(c_0,X0),X0) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9350_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20585,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.81      | c_LOrder_Ojoin(c_0,c_uminus(c_0,X0),X0) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3171]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3169,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.81      | c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9349_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20581,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.81      | c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3169]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20582,plain,
% 21.87/22.81      ( c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0)
% 21.87/22.81      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20581]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3167,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.81      | c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9348_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20577,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.81      | c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3167]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20578,plain,
% 21.87/22.81      ( c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20577]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3165,plain,
% 21.87/22.81      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9347_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20573,plain,
% 21.87/22.81      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3165]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3163,plain,
% 21.87/22.81      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9346_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20569,plain,
% 21.87/22.81      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3163]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3161,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.81      | c_IntDef_Oof__int(c_uminus(X1,tc_IntDef_Oint),X0) = c_uminus(c_IntDef_Oof__int(X1,X0),X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9345_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20565,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.81      | c_IntDef_Oof__int(c_uminus(X1,tc_IntDef_Oint),X0) = c_uminus(c_IntDef_Oof__int(X1,X0),X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3161]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3159,plain,
% 21.87/22.81      ( c_plus(X0,X1,tc_nat) != c_0 | X1 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9344_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20561,plain,
% 21.87/22.81      ( c_plus(X0,X1,tc_nat) != c_0 | X1 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3159]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3157,plain,
% 21.87/22.81      ( c_plus(X0,X1,tc_nat) != c_0 | X0 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9343_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20557,plain,
% 21.87/22.81      ( c_plus(X0,X1,tc_nat) != c_0 | X0 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3157]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3155,plain,
% 21.87/22.81      ( ~ c_lessequals(X0,c_0,tc_IntDef_Oint) | c_IntDef_Onat(X0) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9342_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20553,plain,
% 21.87/22.81      ( ~ c_lessequals(X0,c_0,tc_IntDef_Oint) | c_IntDef_Onat(X0) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3155]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3153,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.81      | c_lessequals(c_0,c_OrderedGroup_Opprt(X1,X0),X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9341_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20549,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.81      | c_lessequals(c_0,c_OrderedGroup_Opprt(X1,X0),X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3153]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20550,plain,
% 21.87/22.81      ( c_lessequals(c_0,c_OrderedGroup_Opprt(X0,X1),X1)
% 21.87/22.81      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20549]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3151,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.81      | c_lessequals(c_OrderedGroup_Onprt(X1,X0),c_0,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9340_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20545,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.81      | c_lessequals(c_OrderedGroup_Onprt(X1,X0),c_0,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3151]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20546,plain,
% 21.87/22.81      ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_0,X1)
% 21.87/22.81      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20545]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3149,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.81      | c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9339_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20541,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.81      | c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3149]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20542,plain,
% 21.87/22.81      ( c_lessequals(c_0,c_HOL_Oabs(X0,X1),X1)
% 21.87/22.81      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20541]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3147,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.81      | c_lessequals(c_0,c_NatArith_Oof__nat(X1,X0),X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9338_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20537,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.81      | c_lessequals(c_0,c_NatArith_Oof__nat(X1,X0),X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3147]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20538,plain,
% 21.87/22.81      ( c_lessequals(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 21.87/22.81      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20537]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3145,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.81      | c_in(c_NatArith_Oof__nat(X1,X0),c_IntDef_ONats,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9337_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20533,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.81      | c_in(c_NatArith_Oof__nat(X1,X0),c_IntDef_ONats,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3145]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20534,plain,
% 21.87/22.81      ( c_in(c_NatArith_Oof__nat(X0,X1),c_IntDef_ONats,X1)
% 21.87/22.81      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20533]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3143,plain,
% 21.87/22.81      ( c_times(X0,X1,tc_nat) != c_0 | X0 = c_0 | X1 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9336_1) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20529,plain,
% 21.87/22.81      ( c_times(X0,X1,tc_nat) != c_0 | X0 = c_0 | X1 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3143]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3142,plain,
% 21.87/22.81      ( c_times(X0,X1,tc_nat) != c_0 | X1 = c_0 | X0 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9336_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20527,plain,
% 21.87/22.81      ( c_times(X0,X1,tc_nat) != c_0 | X1 = c_0 | X0 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3142]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3140,plain,
% 21.87/22.81      ( c_union(X0,X1,X2) != c_emptyset | X1 = c_emptyset ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9335_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20523,plain,
% 21.87/22.81      ( c_union(X0,X1,X2) != c_emptyset | X1 = c_emptyset ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3140]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3138,plain,
% 21.87/22.81      ( c_union(X0,X1,X2) != c_emptyset | X0 = c_emptyset ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9334_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20519,plain,
% 21.87/22.81      ( c_union(X0,X1,X2) != c_emptyset | X0 = c_emptyset ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3138]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3136,plain,
% 21.87/22.81      ( c_inter(X0,X1,X2) != c_UNIV | X1 = c_UNIV ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9333_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20515,plain,
% 21.87/22.81      ( c_inter(X0,X1,X2) != c_UNIV | X1 = c_UNIV ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3136]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3134,plain,
% 21.87/22.81      ( c_inter(X0,X1,X2) != c_UNIV | X0 = c_UNIV ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9332_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20511,plain,
% 21.87/22.81      ( c_inter(X0,X1,X2) != c_UNIV | X0 = c_UNIV ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3134]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3132,plain,
% 21.87/22.81      ( c_List_Orotate(X0,X1,X2) != c_List_Olist_ONil
% 21.87/22.81      | X1 = c_List_Olist_ONil ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9331_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20507,plain,
% 21.87/22.81      ( c_List_Orotate(X0,X1,X2) != c_List_Olist_ONil
% 21.87/22.81      | X1 = c_List_Olist_ONil ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3132]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3126,plain,
% 21.87/22.81      ( c_append(X0,X1,X2) != c_List_Olist_ONil | X1 = c_List_Olist_ONil ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9328_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20495,plain,
% 21.87/22.81      ( c_append(X0,X1,X2) != c_List_Olist_ONil | X1 = c_List_Olist_ONil ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3126]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3124,plain,
% 21.87/22.81      ( c_append(X0,X1,X2) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9327_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20491,plain,
% 21.87/22.81      ( c_append(X0,X1,X2) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3124]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3120,plain,
% 21.87/22.81      ( c_Equiv__Relations_Oquotient(X0,X1,X2) != c_emptyset
% 21.87/22.81      | X0 = c_emptyset ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9325_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20483,plain,
% 21.87/22.81      ( c_Equiv__Relations_Oquotient(X0,X1,X2) != c_emptyset
% 21.87/22.81      | X0 = c_emptyset ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3120]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3115,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_plus(X1,c_uminus(X1,X0),X0) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9323_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20473,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_plus(X1,c_uminus(X1,X0),X0) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3115]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3113,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_plus(c_uminus(X1,X0),X1,X0) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9322_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20469,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_plus(c_uminus(X1,X0),X1,X0) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3113]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3111,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | ~ c_less(c_1,c_0,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9321_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20465,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | ~ c_less(c_1,c_0,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3111]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20466,plain,
% 21.87/22.81      ( ~ c_less(c_1,c_0,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20465]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3109,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.81      | ~ c_lessequals(c_1,c_0,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9320_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20461,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.81      | ~ c_lessequals(c_1,c_0,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3109]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20462,plain,
% 21.87/22.81      ( ~ c_lessequals(c_1,c_0,X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20461]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3103,plain,
% 21.87/22.81      ( c_times(X0,X1,tc_nat) != c_Suc(c_0) | X1 = c_1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9317_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20449,plain,
% 21.87/22.81      ( c_times(X0,X1,tc_nat) != c_Suc(c_0) | X1 = c_1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3103]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3101,plain,
% 21.87/22.81      ( c_times(X0,X1,tc_nat) != c_Suc(c_0) | X0 = c_1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9316_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20445,plain,
% 21.87/22.81      ( c_times(X0,X1,tc_nat) != c_Suc(c_0) | X0 = c_1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3101]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3095,plain,
% 21.87/22.81      ( c_append(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9313_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20433,plain,
% 21.87/22.81      ( c_append(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3095]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3093,plain,
% 21.87/22.81      ( c_append(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9312_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20429,plain,
% 21.87/22.81      ( c_append(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3093]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3090,plain,
% 21.87/22.81      ( c_List_Otake(X0,X1,X2) != c_List_Olist_ONil
% 21.87/22.81      | X0 = c_0
% 21.87/22.81      | X1 = c_List_Olist_ONil ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9311_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20423,plain,
% 21.87/22.81      ( c_List_Otake(X0,X1,X2) != c_List_Olist_ONil
% 21.87/22.81      | X0 = c_0
% 21.87/22.81      | X1 = c_List_Olist_ONil ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3090]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3087,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | X1 = c_0
% 21.87/22.81      | c_times(X1,c_HOL_Oinverse(X1,X0),X0) = c_1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9310_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20417,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | X1 = c_0
% 21.87/22.81      | c_times(X1,c_HOL_Oinverse(X1,X0),X0) = c_1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3087]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20418,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_times(X1,c_HOL_Oinverse(X1,X0),X0) = c_1
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20417]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3084,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | X1 = c_0
% 21.87/22.81      | c_times(c_HOL_Oinverse(X1,X0),X1,X0) = c_1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9309_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20411,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | X1 = c_0
% 21.87/22.81      | c_times(c_HOL_Oinverse(X1,X0),X1,X0) = c_1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3084]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20412,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_times(c_HOL_Oinverse(X1,X0),X1,X0) = c_1
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20411]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3082,plain,
% 21.87/22.81      ( ~ c_less(X0,c_Suc(c_0),tc_nat) | X0 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9308_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20407,plain,
% 21.87/22.81      ( ~ c_less(X0,c_Suc(c_0),tc_nat) | X0 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3082]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3080,plain,
% 21.87/22.81      ( c_List_Oremdups(X0,X1) != X0
% 21.87/22.81      | c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) = c_Nat_Osize(X0,tc_List_Olist(X1)) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9307_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20403,plain,
% 21.87/22.81      ( c_List_Oremdups(X0,X1) != X0
% 21.87/22.81      | c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) = c_Nat_Osize(X0,tc_List_Olist(X1)) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3080]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20404,plain,
% 21.87/22.81      ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) = c_Nat_Osize(X0,tc_List_Olist(X1))
% 21.87/22.81      | c_List_Oremdups(X0,X1) != X0 ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20403]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3078,plain,
% 21.87/22.81      ( c_less(c_0,c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat)
% 21.87/22.81      | X0 = c_List_Olist_ONil ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9306_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20399,plain,
% 21.87/22.81      ( c_less(c_0,c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat)
% 21.87/22.81      | X0 = c_List_Olist_ONil ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3078]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3072,plain,
% 21.87/22.81      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 21.87/22.81      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9304_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20387,plain,
% 21.87/22.81      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 21.87/22.81      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3072]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20388,plain,
% 21.87/22.81      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20387]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3070,plain,
% 21.87/22.81      ( ~ c_Divides_Oop_Advd(X0,c_Suc(c_0),tc_nat) | X0 = c_Suc(c_0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9303_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20383,plain,
% 21.87/22.81      ( ~ c_Divides_Oop_Advd(X0,c_Suc(c_0),tc_nat) | X0 = c_Suc(c_0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3070]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3068,plain,
% 21.87/22.81      ( ~ c_lessequals(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) | X0 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9302_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20379,plain,
% 21.87/22.81      ( ~ c_lessequals(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) | X0 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3068]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3066,plain,
% 21.87/22.81      ( ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 21.87/22.81      | c_IntDef_Oint(c_IntDef_Onat(X0)) = X0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9301_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20375,plain,
% 21.87/22.81      ( ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 21.87/22.81      | c_IntDef_Oint(c_IntDef_Onat(X0)) = X0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3066]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3064,plain,
% 21.87/22.81      ( ~ class_Orderings_Oorder(X0) | ~ c_less(X1,X1,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9300_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20371,plain,
% 21.87/22.81      ( ~ class_Orderings_Oorder(X0) | ~ c_less(X1,X1,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3064]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20372,plain,
% 21.87/22.81      ( ~ c_less(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20371]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3058,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_HOL_Oinverse(c_uminus(X1,X0),X0) = c_uminus(c_HOL_Oinverse(X1,X0),X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9298_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20359,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_HOL_Oinverse(c_uminus(X1,X0),X0) = c_uminus(c_HOL_Oinverse(X1,X0),X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3058]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3053,plain,
% 21.87/22.81      ( ~ c_lessequals(X0,c_emptyset,tc_set(X1)) | X0 = c_emptyset ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9296_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20349,plain,
% 21.87/22.81      ( ~ c_lessequals(X0,c_emptyset,tc_set(X1)) | X0 = c_emptyset ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3053]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3050,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_minus(X1,X2,X0) != c_0
% 21.87/22.81      | X1 = X2 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9295_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20343,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_minus(X1,X2,X0) != c_0
% 21.87/22.81      | X1 = X2 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3050]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3047,plain,
% 21.87/22.81      ( ~ class_Power_Orecpower(X0)
% 21.87/22.81      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0
% 21.87/22.81      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9294_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20337,plain,
% 21.87/22.81      ( ~ class_Power_Orecpower(X0)
% 21.87/22.81      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0
% 21.87/22.81      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3047]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20338,plain,
% 21.87/22.81      ( ~ class_Power_Orecpower(X0)
% 21.87/22.81      | c_Numeral_Onumber__of(X1,tc_nat) = c_0
% 21.87/22.81      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20337]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3044,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.81      | c_times(X1,X2,X0) != c_0
% 21.87/22.81      | X1 = c_0
% 21.87/22.81      | X2 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9293_1) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20331,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.81      | c_times(X1,X2,X0) != c_0
% 21.87/22.81      | X1 = c_0
% 21.87/22.81      | X2 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3044]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3043,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.81      | c_times(X1,X2,X0) != c_0
% 21.87/22.81      | X2 = c_0
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9293_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20329,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 21.87/22.81      | c_times(X1,X2,X0) != c_0
% 21.87/22.81      | X2 = c_0
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3043]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3035,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_times(X1,X2,X0) != X2
% 21.87/22.81      | X2 = c_0
% 21.87/22.81      | X1 = c_1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9291_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20313,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_times(X1,X2,X0) != X2
% 21.87/22.81      | X2 = c_0
% 21.87/22.81      | X1 = c_1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3035]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3027,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_times(X1,X2,X0) != X1
% 21.87/22.81      | X1 = c_0
% 21.87/22.81      | X2 = c_1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9289_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20297,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_times(X1,X2,X0) != X1
% 21.87/22.81      | X1 = c_0
% 21.87/22.81      | X2 = c_1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3027]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3019,plain,
% 21.87/22.81      ( ~ c_lessequals(X0,X1,tc_nat) | c_List_Oupt(X1,X0) = c_List_Olist_ONil ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9286_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20281,plain,
% 21.87/22.81      ( ~ c_lessequals(X0,X1,tc_nat) | c_List_Oupt(X1,X0) = c_List_Olist_ONil ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3019]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3017,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | c_times(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_uminus(X1,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9285_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20277,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | c_times(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_uminus(X1,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3017]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3015,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(X1,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9284_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20273,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(X1,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3015]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_3003,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber(X0)
% 21.87/22.81      | ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_uminus(X1,X0) != c_Numeral_Onumber__of(X2,X0)
% 21.87/22.81      | c_uminus(c_Numeral_Onumber__of(X2,X0),X0) = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9281_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20249,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber(X0)
% 21.87/22.81      | ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_uminus(X1,X0) != c_Numeral_Onumber__of(X2,X0)
% 21.87/22.81      | c_uminus(c_Numeral_Onumber__of(X2,X0),X0) = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_3003]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20250,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber(X0)
% 21.87/22.81      | ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_uminus(c_Numeral_Onumber__of(X1,X0),X0) = X2
% 21.87/22.81      | c_uminus(X2,X0) != c_Numeral_Onumber__of(X1,X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20249]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2999,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber(X0)
% 21.87/22.81      | ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_Numeral_Onumber__of(X1,X0) != c_uminus(X2,X0)
% 21.87/22.81      | X2 = c_uminus(c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9280_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20241,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber(X0)
% 21.87/22.81      | ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_Numeral_Onumber__of(X1,X0) != c_uminus(X2,X0)
% 21.87/22.81      | X2 = c_uminus(c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2999]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2994,plain,
% 21.87/22.81      ( c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint)
% 21.87/22.81      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9278_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20231,plain,
% 21.87/22.81      ( c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint)
% 21.87/22.81      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2994]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20232,plain,
% 21.87/22.81      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | c_IntDef_Oint(X1) != c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20231]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2992,plain,
% 21.87/22.81      ( c_in(c_Main_Oempty__Union__conv__1(X0,X1),X0,tc_set(X1))
% 21.87/22.81      | c_Union(X0,X1) = c_emptyset ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9277_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20227,plain,
% 21.87/22.81      ( c_in(c_Main_Oempty__Union__conv__1(X0,X1),X0,tc_set(X1))
% 21.87/22.81      | c_Union(X0,X1) = c_emptyset ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2992]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2990,plain,
% 21.87/22.81      ( c_in(c_Main_OUnion__empty__conv__1(X0,X1),X0,tc_set(X1))
% 21.87/22.81      | c_Union(X0,X1) = c_emptyset ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9276_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20223,plain,
% 21.87/22.81      ( c_in(c_Main_OUnion__empty__conv__1(X0,X1),X0,tc_set(X1))
% 21.87/22.81      | c_Union(X0,X1) = c_emptyset ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2990]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2988,plain,
% 21.87/22.81      ( c_in(c_Main_OInter__UNIV__conv__2__1(X0,X1),X0,tc_set(X1))
% 21.87/22.81      | c_Inter(X0,X1) = c_UNIV ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9275_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20219,plain,
% 21.87/22.81      ( c_in(c_Main_OInter__UNIV__conv__2__1(X0,X1),X0,tc_set(X1))
% 21.87/22.81      | c_Inter(X0,X1) = c_UNIV ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2988]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2986,plain,
% 21.87/22.81      ( c_in(c_Main_OInter__UNIV__conv__1__1(X0,X1),X0,tc_set(X1))
% 21.87/22.81      | c_Inter(X0,X1) = c_UNIV ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9274_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20215,plain,
% 21.87/22.81      ( c_in(c_Main_OInter__UNIV__conv__1__1(X0,X1),X0,tc_set(X1))
% 21.87/22.81      | c_Inter(X0,X1) = c_UNIV ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2986]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2982,plain,
% 21.87/22.81      ( ~ class_Power_Orecpower(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_Nat_Opower(X1,X2,X0) != c_0
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9273_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20207,plain,
% 21.87/22.81      ( ~ class_Power_Orecpower(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_Nat_Opower(X1,X2,X0) != c_0
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2982]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2966,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_divide(X1,X2,X0) != c_1
% 21.87/22.81      | X1 = X2 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9269_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20175,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_divide(X1,X2,X0) != c_1
% 21.87/22.81      | X1 = X2 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2966]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2962,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_divide(X1,X2,X0) != c_0
% 21.87/22.81      | X1 = c_0
% 21.87/22.81      | X2 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9268_1) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20167,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_divide(X1,X2,X0) != c_0
% 21.87/22.81      | X1 = c_0
% 21.87/22.81      | X2 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2962]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2961,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_divide(X1,X2,X0) != c_0
% 21.87/22.81      | X2 = c_0
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9268_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20165,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_divide(X1,X2,X0) != c_0
% 21.87/22.81      | X2 = c_0
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2961]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2958,plain,
% 21.87/22.81      ( ~ class_Power_Orecpower(X0)
% 21.87/22.81      | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 21.87/22.81      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9267_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20159,plain,
% 21.87/22.81      ( ~ class_Power_Orecpower(X0)
% 21.87/22.81      | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 21.87/22.81      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2958]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2956,plain,
% 21.87/22.81      ( ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0))
% 21.87/22.81      | c_Finite__Set_Ocard(c_emptyset,X0) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9266_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20155,plain,
% 21.87/22.81      ( ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0))
% 21.87/22.81      | c_Finite__Set_Ocard(c_emptyset,X0) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2956]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2939,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.81      | c_plus(c_NatArith_Oof__nat(X1,X0),c_1,X0) = c_NatArith_Oof__nat(c_Suc(X1),X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9260_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20121,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.81      | c_plus(c_NatArith_Oof__nat(X1,X0),c_1,X0) = c_NatArith_Oof__nat(c_Suc(X1),X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2939]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2937,plain,
% 21.87/22.81      ( c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1)
% 21.87/22.81      | X0 = c_List_Olist_ONil ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9259_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20117,plain,
% 21.87/22.81      ( c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1)
% 21.87/22.81      | X0 = c_List_Olist_ONil ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2937]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2935,plain,
% 21.87/22.81      ( c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1)
% 21.87/22.81      | X0 = c_List_Olist_ONil ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9258_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20113,plain,
% 21.87/22.81      ( c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1)
% 21.87/22.81      | X0 = c_List_Olist_ONil ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2935]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2933,plain,
% 21.87/22.81      ( X0 = c_List_Olist_ONil
% 21.87/22.81      | c_List_Olist_OCons(c_List_Ohd(X0,X1),c_List_Otl(X0,X1),X1) = X0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9257_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20109,plain,
% 21.87/22.81      ( X0 = c_List_Olist_ONil
% 21.87/22.81      | c_List_Olist_OCons(c_List_Ohd(X0,X1),c_List_Otl(X0,X1),X1) = X0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2933]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20110,plain,
% 21.87/22.81      ( c_List_Olist_OCons(c_List_Ohd(X0,X1),c_List_Otl(X0,X1),X1) = X0
% 21.87/22.81      | X0 = c_List_Olist_ONil ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_20109]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2919,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_times(X1,c_0,X0) = c_times(X2,c_0,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9253_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20081,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_times(X1,c_0,X0) = c_times(X2,c_0,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2919]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2917,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_times(c_0,X1,X0) = c_times(c_0,X2,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9252_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20077,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_times(c_0,X1,X0) = c_times(c_0,X2,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2917]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2915,plain,
% 21.87/22.81      ( ~ class_Orderings_Oorder(X0)
% 21.87/22.81      | c_SetInterval_OatLeastAtMost(X1,X1,X0) = c_insert(X1,c_emptyset,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9251_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20073,plain,
% 21.87/22.81      ( ~ class_Orderings_Oorder(X0)
% 21.87/22.81      | c_SetInterval_OatLeastAtMost(X1,X1,X0) = c_insert(X1,c_emptyset,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2915]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2904,plain,
% 21.87/22.81      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.87/22.81      | c_Finite__Set_Ocard(X0,X1) != c_0
% 21.87/22.81      | X0 = c_emptyset ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9248_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20051,plain,
% 21.87/22.81      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.87/22.81      | c_Finite__Set_Ocard(X0,X1) != c_0
% 21.87/22.81      | X0 = c_emptyset ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2904]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2902,plain,
% 21.87/22.81      ( ~ c_less(c_HOL_Oabs(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) | X0 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9247_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20047,plain,
% 21.87/22.81      ( ~ c_less(c_HOL_Oabs(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) | X0 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2902]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2897,plain,
% 21.87/22.81      ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize(X0,tc_List_Olist(X1))
% 21.87/22.81      | c_List_Oremdups(X0,X1) = X0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9245_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20037,plain,
% 21.87/22.81      ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize(X0,tc_List_Olist(X1))
% 21.87/22.81      | c_List_Oremdups(X0,X1) = X0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2897]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2891,plain,
% 21.87/22.81      ( ~ c_in(X0,X1,tc_set(X2))
% 21.87/22.81      | c_Union(X1,X2) != c_emptyset
% 21.87/22.81      | X0 = c_emptyset ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9243_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20025,plain,
% 21.87/22.81      ( ~ c_in(X0,X1,tc_set(X2))
% 21.87/22.81      | c_Union(X1,X2) != c_emptyset
% 21.87/22.81      | X0 = c_emptyset ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2891]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2885,plain,
% 21.87/22.81      ( ~ c_in(X0,X1,tc_set(X2)) | c_Inter(X1,X2) != c_UNIV | X0 = c_UNIV ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9241_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20013,plain,
% 21.87/22.81      ( ~ c_in(X0,X1,tc_set(X2)) | c_Inter(X1,X2) != c_UNIV | X0 = c_UNIV ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2885]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2882,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_divide(X1,c_0,X0) = c_divide(X2,c_0,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9240_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20007,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_divide(X1,c_0,X0) = c_divide(X2,c_0,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2882]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2879,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_divide(c_0,X1,X0) = c_divide(c_0,X2,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9239_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_20001,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_divide(c_0,X1,X0) = c_divide(c_0,X2,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2879]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2873,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber(X0)
% 21.87/22.81      | ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_uminus(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9237_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19989,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber(X0)
% 21.87/22.81      | ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.81      | c_uminus(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2873]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2871,plain,
% 21.87/22.81      ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 21.87/22.81      | c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9236_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19985,plain,
% 21.87/22.81      ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 21.87/22.81      | c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2871]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2869,plain,
% 21.87/22.81      ( X0 = c_0 | c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9235_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19981,plain,
% 21.87/22.81      ( X0 = c_0 | c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2869]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19982,plain,
% 21.87/22.81      ( c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_19981]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2867,plain,
% 21.87/22.81      ( ~ c_less(X0,X1,tc_nat) | c_List_Ohd(c_List_Oupt(X0,X1),tc_nat) = X0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9234_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19977,plain,
% 21.87/22.81      ( ~ c_less(X0,X1,tc_nat) | c_List_Ohd(c_List_Oupt(X0,X1),tc_nat) = X0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2867]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2865,plain,
% 21.87/22.81      ( X0 = c_0 | c_List_Ohd(c_List_Oreplicate(X0,X1,X2),X2) = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9233_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19973,plain,
% 21.87/22.81      ( X0 = c_0 | c_List_Ohd(c_List_Oreplicate(X0,X1,X2),X2) = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2865]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19974,plain,
% 21.87/22.81      ( c_List_Ohd(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_19973]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2853,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.81      | c_Finite__Set_OMin(c_insert(X1,c_emptyset,X0),X0) = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9230_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19949,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.81      | c_Finite__Set_OMin(c_insert(X1,c_emptyset,X0),X0) = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2853]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2851,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.81      | c_Finite__Set_OMax(c_insert(X1,c_emptyset,X0),X0) = X1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9229_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19945,plain,
% 21.87/22.81      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.81      | c_Finite__Set_OMax(c_insert(X1,c_emptyset,X0),X0) = X1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2851]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2849,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.81      | ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9228_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19941,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.81      | ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2849]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19942,plain,
% 21.87/22.81      ( ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0)
% 21.87/22.81      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_19941]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2847,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.81      | ~ c_less(c_HOL_Oabs(X1,X0),c_0,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9227_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19937,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.87/22.81      | ~ c_less(c_HOL_Oabs(X1,X0),c_0,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2847]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19938,plain,
% 21.87/22.81      ( ~ c_less(c_HOL_Oabs(X0,X1),c_0,X1)
% 21.87/22.81      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_19937]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2845,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.81      | ~ c_less(c_NatArith_Oof__nat(X1,X0),c_0,X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9226_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19933,plain,
% 21.87/22.81      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.81      | ~ c_less(c_NatArith_Oof__nat(X1,X0),c_0,X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2845]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19934,plain,
% 21.87/22.81      ( ~ c_less(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 21.87/22.81      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_19933]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2839,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_divide(c_1,c_Numeral_Onumber__of(X1,X0),X0) = c_HOL_Oinverse(c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9224_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19921,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.81      | c_divide(c_1,c_Numeral_Onumber__of(X1,X0),X0) = c_HOL_Oinverse(c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2839]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2833,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | c_Numeral_Onumber__of(X1,X0) != c_0
% 21.87/22.81      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9222_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19909,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | c_Numeral_Onumber__of(X1,X0) != c_0
% 21.87/22.81      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2833]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19910,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0)
% 21.87/22.81      | c_Numeral_Onumber__of(X1,X0) != c_0 ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_19909]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2831,plain,
% 21.87/22.81      ( ~ c_less(c_0,X0,tc_nat) | c_div(X0,X0,tc_nat) = c_1 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9221_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19905,plain,
% 21.87/22.81      ( ~ c_less(c_0,X0,tc_nat) | c_div(X0,X0,tc_nat) = c_1 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2831]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2829,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | 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) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9220_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19901,plain,
% 21.87/22.81      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.81      | 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) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2829]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2826,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.81      | c_LOrder_Omeet(X1,c_uminus(X1,X0),X0) != c_0
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9219_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19895,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.81      | c_LOrder_Omeet(X1,c_uminus(X1,X0),X0) != c_0
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2826]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2823,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.81      | c_LOrder_Ojoin(X1,c_uminus(X1,X0),X0) != c_0
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9218_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19889,plain,
% 21.87/22.81      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.81      | c_LOrder_Ojoin(X1,c_uminus(X1,X0),X0) != c_0
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2823]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2821,plain,
% 21.87/22.81      ( X0 = c_List_Olist_ONil
% 21.87/22.81      | c_List_Olast(c_append(X1,X0,X2),X2) = c_List_Olast(X0,X2) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9217_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19885,plain,
% 21.87/22.81      ( X0 = c_List_Olist_ONil
% 21.87/22.81      | c_List_Olast(c_append(X1,X0,X2),X2) = c_List_Olast(X0,X2) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2821]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19886,plain,
% 21.87/22.81      ( c_List_Olast(c_append(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 21.87/22.81      | X1 = c_List_Olist_ONil ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_19885]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2819,plain,
% 21.87/22.81      ( X0 = c_List_Olist_ONil
% 21.87/22.81      | c_List_Olast(c_List_Olist_OCons(X1,X0,X2),X2) = c_List_Olast(X0,X2) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9216_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19881,plain,
% 21.87/22.81      ( X0 = c_List_Olist_ONil
% 21.87/22.81      | c_List_Olast(c_List_Olist_OCons(X1,X0,X2),X2) = c_List_Olast(X0,X2) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2819]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19882,plain,
% 21.87/22.81      ( c_List_Olast(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 21.87/22.81      | X1 = c_List_Olist_ONil ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_19881]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2817,plain,
% 21.87/22.81      ( X0 = c_List_Olist_ONil
% 21.87/22.81      | c_List_Ohd(c_append(X0,X1,X2),X2) = c_List_Ohd(X0,X2) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9215_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19877,plain,
% 21.87/22.81      ( X0 = c_List_Olist_ONil
% 21.87/22.81      | c_List_Ohd(c_append(X0,X1,X2),X2) = c_List_Ohd(X0,X2) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2817]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19878,plain,
% 21.87/22.81      ( c_List_Ohd(c_append(X0,X1,X2),X2) = c_List_Ohd(X0,X2)
% 21.87/22.81      | X0 = c_List_Olist_ONil ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_19877]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2815,plain,
% 21.87/22.81      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.87/22.81      | c_Parity_Oeven(c_times(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9214_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19873,plain,
% 21.87/22.81      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.87/22.81      | c_Parity_Oeven(c_times(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2815]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19874,plain,
% 21.87/22.81      ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_19873]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2813,plain,
% 21.87/22.81      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.87/22.81      | c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9213_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19869,plain,
% 21.87/22.81      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.87/22.81      | c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2813]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19870,plain,
% 21.87/22.81      ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_19869]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2811,plain,
% 21.87/22.81      ( ~ c_Parity_Oeven(X0,tc_nat)
% 21.87/22.81      | c_Parity_Oeven(c_times(X1,X0,tc_nat),tc_nat) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9212_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19865,plain,
% 21.87/22.81      ( ~ c_Parity_Oeven(X0,tc_nat)
% 21.87/22.81      | c_Parity_Oeven(c_times(X1,X0,tc_nat),tc_nat) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2811]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19866,plain,
% 21.87/22.81      ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 21.87/22.81      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_19865]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2809,plain,
% 21.87/22.81      ( ~ c_Parity_Oeven(X0,tc_nat)
% 21.87/22.81      | c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9211_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19861,plain,
% 21.87/22.81      ( ~ c_Parity_Oeven(X0,tc_nat)
% 21.87/22.81      | c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2809]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19862,plain,
% 21.87/22.81      ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 21.87/22.81      | ~ c_Parity_Oeven(X0,tc_nat) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_19861]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2807,plain,
% 21.87/22.81      ( ~ c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9210_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19857,plain,
% 21.87/22.81      ( ~ c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2807]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2805,plain,
% 21.87/22.81      ( c_minus(X0,X1,tc_nat) != c_0 | c_lessequals(X0,X1,tc_nat) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9209_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19853,plain,
% 21.87/22.81      ( c_minus(X0,X1,tc_nat) != c_0 | c_lessequals(X0,X1,tc_nat) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2805]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19854,plain,
% 21.87/22.81      ( c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) != c_0 ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_19853]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2803,plain,
% 21.87/22.81      ( ~ c_less(X0,X1,tc_nat) | c_div(X0,X1,tc_nat) = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9208_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19849,plain,
% 21.87/22.81      ( ~ c_less(X0,X1,tc_nat) | c_div(X0,X1,tc_nat) = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2803]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2801,plain,
% 21.87/22.81      ( ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint)
% 21.87/22.81      | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9207_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19845,plain,
% 21.87/22.81      ( ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint)
% 21.87/22.81      | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2801]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19846,plain,
% 21.87/22.81      ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 21.87/22.81      | ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_19845]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2795,plain,
% 21.87/22.81      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9205_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19833,plain,
% 21.87/22.81      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2795]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2793,plain,
% 21.87/22.81      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Suc(c_0) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9204_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19829,plain,
% 21.87/22.81      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.81      | c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Suc(c_0) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2793]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2791,plain,
% 21.87/22.81      ( ~ c_less(X0,X1,tc_nat) | c_Divides_Oop_Amod(X0,X1,tc_nat) = X0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9203_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19825,plain,
% 21.87/22.81      ( ~ c_less(X0,X1,tc_nat) | c_Divides_Oop_Amod(X0,X1,tc_nat) = X0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2791]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2787,plain,
% 21.87/22.81      ( ~ class_Power_Orecpower(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0) != c_0
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9202_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19817,plain,
% 21.87/22.81      ( ~ class_Power_Orecpower(X0)
% 21.87/22.81      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.81      | c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0) != c_0
% 21.87/22.81      | X1 = c_0 ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2787]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2785,plain,
% 21.87/22.81      ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 21.87/22.81      | c_less(c_0,c_IntDef_Onat(X0),tc_nat) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9201_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19813,plain,
% 21.87/22.81      ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 21.87/22.81      | c_less(c_0,c_IntDef_Onat(X0),tc_nat) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2785]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19814,plain,
% 21.87/22.81      ( c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 21.87/22.81      | ~ c_less(c_0,X0,tc_IntDef_Oint) ),
% 21.87/22.81      inference(rewriting,[status(thm)],[c_19813]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_2783,plain,
% 21.87/22.81      ( ~ c_less(c_0,X0,tc_nat)
% 21.87/22.81      | c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 21.87/22.81      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9200_0) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19809,plain,
% 21.87/22.81      ( ~ c_less(c_0,X0,tc_nat)
% 21.87/22.81      | c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 21.87/22.81      inference(copy,[status(esa)],[c_2783]) ).
% 21.87/22.81  
% 21.87/22.81  cnf(c_19810,plain,
% 21.87/22.82      ( c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 21.87/22.82      | ~ c_less(c_0,X0,tc_nat) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19809]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2781,plain,
% 21.87/22.82      ( c_in(c_Main_Oconcat__eq__Nil__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1))
% 21.87/22.82      | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9199_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19805,plain,
% 21.87/22.82      ( c_in(c_Main_Oconcat__eq__Nil__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1))
% 21.87/22.82      | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2781]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2779,plain,
% 21.87/22.82      ( c_in(c_Main_ONil__eq__concat__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1))
% 21.87/22.82      | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9198_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19801,plain,
% 21.87/22.82      ( c_in(c_Main_ONil__eq__concat__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1))
% 21.87/22.82      | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2779]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2776,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | c_Numeral_Onumber__of(X1,X0) != c_0
% 21.87/22.82      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9197_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19795,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | c_Numeral_Onumber__of(X1,X0) != c_0
% 21.87/22.82      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2776]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19796,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 21.87/22.82      | c_Numeral_Onumber__of(X1,X0) != c_0 ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19795]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2774,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.82      | c_minus(X1,c_uminus(X2,X0),X0) = c_plus(X1,X2,X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9196_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19791,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.82      | c_minus(X1,c_uminus(X2,X0),X0) = c_plus(X1,X2,X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2774]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2772,plain,
% 21.87/22.82      ( ~ c_in(X0,c_Datatype_Oo2s(X1,X2),X2)
% 21.87/22.82      | X1 = c_Datatype_Ooption_OSome(X0,X2) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9195_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19787,plain,
% 21.87/22.82      ( ~ c_in(X0,c_Datatype_Oo2s(X1,X2),X2)
% 21.87/22.82      | X1 = c_Datatype_Ooption_OSome(X0,X2) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2772]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2771,plain,
% 21.87/22.82      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.87/22.82      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9194_2) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19785,plain,
% 21.87/22.82      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.87/22.82      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2771]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2768,plain,
% 21.87/22.82      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 21.87/22.82      | c_Parity_Oeven(X0,tc_nat)
% 21.87/22.82      | c_Parity_Oeven(X1,tc_nat) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9193_2) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19779,plain,
% 21.87/22.82      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 21.87/22.82      | c_Parity_Oeven(X0,tc_nat)
% 21.87/22.82      | c_Parity_Oeven(X1,tc_nat) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2768]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2765,plain,
% 21.87/22.82      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.87/22.82      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9192_2) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19773,plain,
% 21.87/22.82      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.87/22.82      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2765]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2761,plain,
% 21.87/22.82      ( ~ c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 21.87/22.82      | c_less(c_0,X0,tc_IntDef_Oint) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9191_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19765,plain,
% 21.87/22.82      ( ~ c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 21.87/22.82      | c_less(c_0,X0,tc_IntDef_Oint) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2761]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2759,plain,
% 21.87/22.82      ( ~ c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 21.87/22.82      | c_less(c_0,X0,tc_nat) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9190_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19761,plain,
% 21.87/22.82      ( ~ c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 21.87/22.82      | c_less(c_0,X0,tc_nat) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2759]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2757,plain,
% 21.87/22.82      ( ~ c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 21.87/22.82      | c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9189_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19757,plain,
% 21.87/22.82      ( ~ c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 21.87/22.82      | c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2757]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19758,plain,
% 21.87/22.82      ( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 21.87/22.82      | ~ c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19757]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2755,plain,
% 21.87/22.82      ( ~ c_List_Odistinct(X0,X1)
% 21.87/22.82      | c_List_Odistinct(c_List_Otake(X2,X0,X1),X1) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9188_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19753,plain,
% 21.87/22.82      ( ~ c_List_Odistinct(X0,X1)
% 21.87/22.82      | c_List_Odistinct(c_List_Otake(X2,X0,X1),X1) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2755]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19754,plain,
% 21.87/22.82      ( c_List_Odistinct(c_List_Otake(X0,X1,X2),X2)
% 21.87/22.82      | ~ c_List_Odistinct(X1,X2) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19753]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2753,plain,
% 21.87/22.82      ( ~ c_List_Odistinct(X0,X1)
% 21.87/22.82      | c_List_Odistinct(c_List_Osublist(X0,X2,X1),X1) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9187_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19749,plain,
% 21.87/22.82      ( ~ c_List_Odistinct(X0,X1)
% 21.87/22.82      | c_List_Odistinct(c_List_Osublist(X0,X2,X1),X1) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2753]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19750,plain,
% 21.87/22.82      ( c_List_Odistinct(c_List_Osublist(X0,X1,X2),X2)
% 21.87/22.82      | ~ c_List_Odistinct(X0,X2) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19749]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2751,plain,
% 21.87/22.82      ( ~ c_List_Odistinct(X0,X1)
% 21.87/22.82      | c_List_Odistinct(c_List_Orotate(X2,X0,X1),X1) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9186_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19745,plain,
% 21.87/22.82      ( ~ c_List_Odistinct(X0,X1)
% 21.87/22.82      | c_List_Odistinct(c_List_Orotate(X2,X0,X1),X1) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2751]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19746,plain,
% 21.87/22.82      ( c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 21.87/22.82      | ~ c_List_Odistinct(X1,X2) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19745]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2749,plain,
% 21.87/22.82      ( ~ c_List_Odistinct(X0,X1)
% 21.87/22.82      | c_List_Odistinct(c_List_Oremove1(X2,X0,X1),X1) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9185_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19741,plain,
% 21.87/22.82      ( ~ c_List_Odistinct(X0,X1)
% 21.87/22.82      | c_List_Odistinct(c_List_Oremove1(X2,X0,X1),X1) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2749]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19742,plain,
% 21.87/22.82      ( c_List_Odistinct(c_List_Oremove1(X0,X1,X2),X2)
% 21.87/22.82      | ~ c_List_Odistinct(X1,X2) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19741]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2747,plain,
% 21.87/22.82      ( ~ c_List_Odistinct(X0,X1)
% 21.87/22.82      | c_List_Odistinct(c_List_Odrop(X2,X0,X1),X1) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9184_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19737,plain,
% 21.87/22.82      ( ~ c_List_Odistinct(X0,X1)
% 21.87/22.82      | c_List_Odistinct(c_List_Odrop(X2,X0,X1),X1) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2747]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19738,plain,
% 21.87/22.82      ( c_List_Odistinct(c_List_Odrop(X0,X1,X2),X2)
% 21.87/22.82      | ~ c_List_Odistinct(X1,X2) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19737]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2745,plain,
% 21.87/22.82      ( ~ c_less(c_1,X0,tc_IntDef_Oint)
% 21.87/22.82      | c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9183_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19733,plain,
% 21.87/22.82      ( ~ c_less(c_1,X0,tc_IntDef_Oint)
% 21.87/22.82      | c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2745]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2739,plain,
% 21.87/22.82      ( c_in(X0,X1,X2) | c_in(X0,c_uminus(X1,tc_set(X2)),X2) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9181_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19721,plain,
% 21.87/22.82      ( c_in(X0,X1,X2) | c_in(X0,c_uminus(X1,tc_set(X2)),X2) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2739]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19722,plain,
% 21.87/22.82      ( c_in(X0,c_uminus(X1,tc_set(X2)),X2) | c_in(X0,X1,X2) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19721]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2724,plain,
% 21.87/22.82      ( ~ c_less(X0,X1,tc_nat) | c_less(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9176_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19691,plain,
% 21.87/22.82      ( ~ c_less(X0,X1,tc_nat) | c_less(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2724]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19692,plain,
% 21.87/22.82      ( c_less(c_Suc(X0),c_Suc(X1),tc_nat) | ~ c_less(X0,X1,tc_nat) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19691]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2722,plain,
% 21.87/22.82      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.87/22.82      | c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9175_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19687,plain,
% 21.87/22.82      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.87/22.82      | c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2722]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19688,plain,
% 21.87/22.82      ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 21.87/22.82      | ~ c_lessequals(X0,X1,tc_nat) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19687]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2720,plain,
% 21.87/22.82      ( ~ c_less(X0,X1,tc_nat)
% 21.87/22.82      | c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9174_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19683,plain,
% 21.87/22.82      ( ~ c_less(X0,X1,tc_nat)
% 21.87/22.82      | c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2720]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19684,plain,
% 21.87/22.82      ( c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 21.87/22.82      | ~ c_less(X0,X1,tc_nat) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19683]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2718,plain,
% 21.87/22.82      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.87/22.82      | c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9173_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19679,plain,
% 21.87/22.82      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.87/22.82      | c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2718]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19680,plain,
% 21.87/22.82      ( c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 21.87/22.82      | ~ c_lessequals(X0,X1,tc_nat) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19679]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2713,plain,
% 21.87/22.82      ( ~ c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat)
% 21.87/22.82      | c_less(c_1,X0,tc_IntDef_Oint) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9171_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19669,plain,
% 21.87/22.82      ( ~ c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat)
% 21.87/22.82      | c_less(c_1,X0,tc_IntDef_Oint) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2713]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19670,plain,
% 21.87/22.82      ( c_less(c_1,X0,tc_IntDef_Oint)
% 21.87/22.82      | ~ c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19669]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2711,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9170_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19665,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2711]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19666,plain,
% 21.87/22.82      ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 21.87/22.82      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19665]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2705,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9168_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19653,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2705]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2703,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9167_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19649,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2703]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2701,plain,
% 21.87/22.82      ( ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 21.87/22.82      | c_less(c_0,X1,tc_IntDef_Oint) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9166_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19645,plain,
% 21.87/22.82      ( ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 21.87/22.82      | c_less(c_0,X1,tc_IntDef_Oint) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2701]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19646,plain,
% 21.87/22.82      ( c_less(c_0,X0,tc_IntDef_Oint)
% 21.87/22.82      | ~ c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X0),tc_nat) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19645]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2699,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9165_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19641,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2699]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2697,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9164_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19637,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2697]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2695,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9163_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19633,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2695]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2693,plain,
% 21.87/22.82      ( ~ c_less(c_Suc(X0),c_Suc(X1),tc_nat) | c_less(X0,X1,tc_nat) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9162_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19629,plain,
% 21.87/22.82      ( ~ c_less(c_Suc(X0),c_Suc(X1),tc_nat) | c_less(X0,X1,tc_nat) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2693]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2691,plain,
% 21.87/22.82      ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 21.87/22.82      | c_lessequals(X0,X1,tc_nat) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9161_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19625,plain,
% 21.87/22.82      ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 21.87/22.82      | c_lessequals(X0,X1,tc_nat) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2691]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2689,plain,
% 21.87/22.82      ( ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 21.87/22.82      | c_less(X0,X1,tc_IntDef_Oint) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9160_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19621,plain,
% 21.87/22.82      ( ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 21.87/22.82      | c_less(X0,X1,tc_IntDef_Oint) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2689]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2687,plain,
% 21.87/22.82      ( ~ c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 21.87/22.82      | c_less(X0,X1,tc_nat) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9159_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19617,plain,
% 21.87/22.82      ( ~ c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 21.87/22.82      | c_less(X0,X1,tc_nat) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2687]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2685,plain,
% 21.87/22.82      ( ~ c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 21.87/22.82      | c_lessequals(X0,X1,tc_nat) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9158_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19613,plain,
% 21.87/22.82      ( ~ c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 21.87/22.82      | c_lessequals(X0,X1,tc_nat) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2685]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2683,plain,
% 21.87/22.82      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat)
% 21.87/22.82      | c_List_Orotate1(X0,X1) = X0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9157_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19609,plain,
% 21.87/22.82      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat)
% 21.87/22.82      | c_List_Orotate1(X0,X1) = X0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2683]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2681,plain,
% 21.87/22.82      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 21.87/22.82      | c_minus(X0,X1,tc_set(X2)) = c_emptyset ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9156_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19605,plain,
% 21.87/22.82      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 21.87/22.82      | c_minus(X0,X1,tc_set(X2)) = c_emptyset ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2681]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2679,plain,
% 21.87/22.82      ( c_minus(X0,X1,tc_set(X2)) != c_emptyset
% 21.87/22.82      | c_lessequals(X0,X1,tc_set(X2)) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9155_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19601,plain,
% 21.87/22.82      ( c_minus(X0,X1,tc_set(X2)) != c_emptyset
% 21.87/22.82      | c_lessequals(X0,X1,tc_set(X2)) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2679]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19602,plain,
% 21.87/22.82      ( c_lessequals(X0,X1,tc_set(X2))
% 21.87/22.82      | c_minus(X0,X1,tc_set(X2)) != c_emptyset ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19601]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2677,plain,
% 21.87/22.82      ( ~ c_less(X0,X1,tc_set(X2)) | c_lessequals(X0,X1,tc_set(X2)) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9154_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19597,plain,
% 21.87/22.82      ( ~ c_less(X0,X1,tc_set(X2)) | c_lessequals(X0,X1,tc_set(X2)) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2677]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19598,plain,
% 21.87/22.82      ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X0,X1,tc_set(X2)) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19597]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2675,plain,
% 21.87/22.82      ( c_less(c_0,c_Nat_Opower(X0,X1,tc_nat),tc_nat) | X0 = c_0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9153_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19593,plain,
% 21.87/22.82      ( c_less(c_0,c_Nat_Opower(X0,X1,tc_nat),tc_nat) | X0 = c_0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2675]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2674,plain,
% 21.87/22.82      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.87/22.82      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9152_2) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19591,plain,
% 21.87/22.82      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.87/22.82      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2674]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2671,plain,
% 21.87/22.82      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 21.87/22.82      | ~ c_Parity_Oeven(X0,tc_nat)
% 21.87/22.82      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9151_2) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19585,plain,
% 21.87/22.82      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 21.87/22.82      | ~ c_Parity_Oeven(X0,tc_nat)
% 21.87/22.82      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2671]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2668,plain,
% 21.87/22.82      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.87/22.82      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9150_2) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19579,plain,
% 21.87/22.82      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.87/22.82      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2668]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2663,plain,
% 21.87/22.82      ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_less(X0,X1,tc_set(X2)) | X0 = X1 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9149_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19569,plain,
% 21.87/22.82      ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_less(X0,X1,tc_set(X2)) | X0 = X1 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2663]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2661,plain,
% 21.87/22.82      ( X0 = c_0
% 21.87/22.82      | c_div(c_times(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = X1 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9148_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19565,plain,
% 21.87/22.82      ( X0 = c_0
% 21.87/22.82      | c_div(c_times(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = X1 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2661]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19566,plain,
% 21.87/22.82      ( c_div(c_times(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = X1
% 21.87/22.82      | X0 = c_0 ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19565]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2659,plain,
% 21.87/22.82      ( X0 = c_0
% 21.87/22.82      | c_div(c_times(X1,X0,tc_IntDef_Oint),X0,tc_IntDef_Oint) = X1 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9147_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19561,plain,
% 21.87/22.82      ( X0 = c_0
% 21.87/22.82      | c_div(c_times(X1,X0,tc_IntDef_Oint),X0,tc_IntDef_Oint) = X1 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2659]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19562,plain,
% 21.87/22.82      ( c_div(c_times(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X0
% 21.87/22.82      | X1 = c_0 ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19561]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2657,plain,
% 21.87/22.82      ( c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) != c_List_Orev(X2,X1)
% 21.87/22.82      | X2 = c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9146_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19557,plain,
% 21.87/22.82      ( c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) != c_List_Orev(X2,X1)
% 21.87/22.82      | X2 = c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2657]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2655,plain,
% 21.87/22.82      ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,c_List_Olist_ONil,X1)
% 21.87/22.82      | X0 = c_List_Olist_OCons(X2,c_List_Olist_ONil,X1) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9145_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19553,plain,
% 21.87/22.82      ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,c_List_Olist_ONil,X1)
% 21.87/22.82      | X0 = c_List_Olist_OCons(X2,c_List_Olist_ONil,X1) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2655]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2653,plain,
% 21.87/22.82      ( ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 21.87/22.82      | c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9144_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19549,plain,
% 21.87/22.82      ( ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 21.87/22.82      | c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2653]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19550,plain,
% 21.87/22.82      ( c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 21.87/22.82      | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19549]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2651,plain,
% 21.87/22.82      ( ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 21.87/22.82      | c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9143_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19545,plain,
% 21.87/22.82      ( ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 21.87/22.82      | c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2651]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19546,plain,
% 21.87/22.82      ( c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19545]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2649,plain,
% 21.87/22.82      ( c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint) != c_0
% 21.87/22.82      | c_times(X1,c_Main_Ozmod__eq__0D__dest__1(X1,X0),tc_IntDef_Oint) = X0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9142_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19541,plain,
% 21.87/22.82      ( c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint) != c_0
% 21.87/22.82      | c_times(X1,c_Main_Ozmod__eq__0D__dest__1(X1,X0),tc_IntDef_Oint) = X0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2649]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19542,plain,
% 21.87/22.82      ( c_times(X0,c_Main_Ozmod__eq__0D__dest__1(X0,X1),tc_IntDef_Oint) = X1
% 21.87/22.82      | c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint) != c_0 ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19541]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2647,plain,
% 21.87/22.82      ( c_Divides_Oop_Amod(X0,X1,tc_nat) != c_0
% 21.87/22.82      | c_times(X1,c_Main_Omod__eq__0D__dest__1(X1,X0),tc_nat) = X0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9141_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19537,plain,
% 21.87/22.82      ( c_Divides_Oop_Amod(X0,X1,tc_nat) != c_0
% 21.87/22.82      | c_times(X1,c_Main_Omod__eq__0D__dest__1(X1,X0),tc_nat) = X0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2647]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19538,plain,
% 21.87/22.82      ( c_times(X0,c_Main_Omod__eq__0D__dest__1(X0,X1),tc_nat) = X1
% 21.87/22.82      | c_Divides_Oop_Amod(X1,X0,tc_nat) != c_0 ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19537]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2641,plain,
% 21.87/22.82      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9139_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19525,plain,
% 21.87/22.82      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2641]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2639,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9138_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19521,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2639]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2637,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9137_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19517,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2637]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2635,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9136_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19513,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2635]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2633,plain,
% 21.87/22.82      ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 21.87/22.82      | c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X0)) = X0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9135_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19509,plain,
% 21.87/22.82      ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 21.87/22.82      | c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X0)) = X0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2633]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2629,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat)
% 21.87/22.82      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9134_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19501,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat)
% 21.87/22.82      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2629]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19502,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19501]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2625,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 21.87/22.82      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9133_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19493,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 21.87/22.82      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2625]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19494,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19493]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2623,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | 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) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9132_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19489,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | 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) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2623]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2620,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.82      | ~ c_less(c_0,X1,tc_nat)
% 21.87/22.82      | c_less(c_0,c_NatArith_Oof__nat(X1,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9131_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19483,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.82      | ~ c_less(c_0,X1,tc_nat)
% 21.87/22.82      | c_less(c_0,c_NatArith_Oof__nat(X1,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2620]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19484,plain,
% 21.87/22.82      ( c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 21.87/22.82      | ~ c_less(c_0,X0,tc_nat)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19483]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2617,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.82      | ~ c_less(X1,c_0,tc_IntDef_Oint)
% 21.87/22.82      | c_less(c_IntDef_Oof__int(X1,X0),c_0,X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9130_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19477,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.82      | ~ c_less(X1,c_0,tc_IntDef_Oint)
% 21.87/22.82      | c_less(c_IntDef_Oof__int(X1,X0),c_0,X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2617]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19478,plain,
% 21.87/22.82      ( c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 21.87/22.82      | ~ c_less(X0,c_0,tc_IntDef_Oint)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19477]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2614,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.82      | ~ c_lessequals(X1,c_0,tc_IntDef_Oint)
% 21.87/22.82      | c_lessequals(c_IntDef_Oof__int(X1,X0),c_0,X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9129_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19471,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.82      | ~ c_lessequals(X1,c_0,tc_IntDef_Oint)
% 21.87/22.82      | c_lessequals(c_IntDef_Oof__int(X1,X0),c_0,X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2614]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19472,plain,
% 21.87/22.82      ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 21.87/22.82      | ~ c_lessequals(X0,c_0,tc_IntDef_Oint)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19471]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2611,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.82      | ~ c_less(c_0,X1,tc_IntDef_Oint)
% 21.87/22.82      | c_less(c_0,c_IntDef_Oof__int(X1,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9128_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19465,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.82      | ~ c_less(c_0,X1,tc_IntDef_Oint)
% 21.87/22.82      | c_less(c_0,c_IntDef_Oof__int(X1,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2611]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19466,plain,
% 21.87/22.82      ( c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 21.87/22.82      | ~ c_less(c_0,X0,tc_IntDef_Oint)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19465]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2608,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.82      | ~ c_lessequals(c_0,X1,tc_IntDef_Oint)
% 21.87/22.82      | c_lessequals(c_0,c_IntDef_Oof__int(X1,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9127_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19459,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.82      | ~ c_lessequals(c_0,X1,tc_IntDef_Oint)
% 21.87/22.82      | c_lessequals(c_0,c_IntDef_Oof__int(X1,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2608]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19460,plain,
% 21.87/22.82      ( c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 21.87/22.82      | ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19459]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2606,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oring(X0)
% 21.87/22.82      | c_times(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_times(X1,X2,X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9126_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19455,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oring(X0)
% 21.87/22.82      | c_times(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_times(X1,X2,X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2606]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2603,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | c_Numeral_Onumber__of(X1,X0) != c_Numeral_Onumber__of(X2,X0)
% 21.87/22.82      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9125_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19449,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | c_Numeral_Onumber__of(X1,X0) != c_Numeral_Onumber__of(X2,X0)
% 21.87/22.82      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2603]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19450,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 21.87/22.82      | c_Numeral_Onumber__of(X1,X0) != c_Numeral_Onumber__of(X2,X0) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19449]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2601,plain,
% 21.87/22.82      ( c_plus(X0,X1,tc_nat) != c_plus(X2,X1,tc_nat) | X0 = X2 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9124_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19445,plain,
% 21.87/22.82      ( c_plus(X0,X1,tc_nat) != c_plus(X2,X1,tc_nat) | X0 = X2 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2601]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2599,plain,
% 21.87/22.82      ( c_plus(X0,X1,tc_nat) != c_plus(X0,X2,tc_nat) | X1 = X2 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9123_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19441,plain,
% 21.87/22.82      ( c_plus(X0,X1,tc_nat) != c_plus(X0,X2,tc_nat) | X1 = X2 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2599]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2597,plain,
% 21.87/22.82      ( c_insert(X0,c_emptyset,X1) != c_insert(X2,c_emptyset,X1) | X0 = X2 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9122_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19437,plain,
% 21.87/22.82      ( c_insert(X0,c_emptyset,X1) != c_insert(X2,c_emptyset,X1) | X0 = X2 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2597]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2589,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.82      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X0),X0)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9120_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19421,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.82      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X0),X0)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2589]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19422,plain,
% 21.87/22.82      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),X2),X2)
% 21.87/22.82      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X2),X2)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 21.87/22.82      | ~ class_Numeral_Onumber__ring(X2) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19421]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2580,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.82      | ~ c_less(X1,c_0,X0)
% 21.87/22.82      | c_less(c_0,c_uminus(X1,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9117_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19403,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.82      | ~ c_less(X1,c_0,X0)
% 21.87/22.82      | c_less(c_0,c_uminus(X1,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2580]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19404,plain,
% 21.87/22.82      ( c_less(c_0,c_uminus(X0,X1),X1)
% 21.87/22.82      | ~ c_less(X0,c_0,X1)
% 21.87/22.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19403]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2577,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.82      | ~ c_lessequals(X1,c_0,X0)
% 21.87/22.82      | c_lessequals(c_0,c_uminus(X1,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9116_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19397,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.82      | ~ c_lessequals(X1,c_0,X0)
% 21.87/22.82      | c_lessequals(c_0,c_uminus(X1,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2577]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19398,plain,
% 21.87/22.82      ( c_lessequals(c_0,c_uminus(X0,X1),X1)
% 21.87/22.82      | ~ c_lessequals(X0,c_0,X1)
% 21.87/22.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19397]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2574,plain,
% 21.87/22.82      ( c_times(X0,X1,tc_nat) != c_times(X2,X1,tc_nat) | X0 = X2 | X1 = c_0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9115_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19391,plain,
% 21.87/22.82      ( c_times(X0,X1,tc_nat) != c_times(X2,X1,tc_nat) | X0 = X2 | X1 = c_0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2574]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19392,plain,
% 21.87/22.82      ( c_times(X0,X1,tc_nat) != c_times(X2,X1,tc_nat) | X1 = c_0 | X0 = X2 ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19391]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2571,plain,
% 21.87/22.82      ( c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) | X1 = X2 | X0 = c_0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9114_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19385,plain,
% 21.87/22.82      ( c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) | X1 = X2 | X0 = c_0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2571]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19386,plain,
% 21.87/22.82      ( c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) | X0 = c_0 | X1 = X2 ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19385]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2568,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.82      | ~ c_in(X1,c_IntDef_OInts,X0)
% 21.87/22.82      | c_in(c_uminus(X1,X0),c_IntDef_OInts,X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9113_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19379,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.82      | ~ c_in(X1,c_IntDef_OInts,X0)
% 21.87/22.82      | c_in(c_uminus(X1,X0),c_IntDef_OInts,X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2568]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19380,plain,
% 21.87/22.82      ( c_in(c_uminus(X0,X1),c_IntDef_OInts,X1)
% 21.87/22.82      | ~ c_in(X0,c_IntDef_OInts,X1)
% 21.87/22.82      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19379]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2566,plain,
% 21.87/22.82      ( c_insert(X0,X1,X2) != c_insert(X3,c_emptyset,X2) | X0 = X3 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9112_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19375,plain,
% 21.87/22.82      ( c_insert(X0,X1,X2) != c_insert(X3,c_emptyset,X2) | X0 = X3 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2566]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2564,plain,
% 21.87/22.82      ( c_insert(X0,c_emptyset,X1) != c_insert(X2,X3,X1) | X2 = X0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9111_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19371,plain,
% 21.87/22.82      ( c_insert(X0,c_emptyset,X1) != c_insert(X2,X3,X1) | X2 = X0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2564]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2561,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_times(c_0,c_divide(X1,c_0,X0),X0) = c_0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9110_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19365,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_times(c_0,c_divide(X1,c_0,X0),X0) = c_0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2561]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2558,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_times(c_divide(X1,c_0,X0),c_0,X0) = c_0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9109_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19359,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_times(c_divide(X1,c_0,X0),c_0,X0) = c_0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2558]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2555,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(c_times(X1,c_0,X0),c_0,X0) = c_0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9108_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19353,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(c_times(X1,c_0,X0),c_0,X0) = c_0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2555]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2552,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(c_0,c_times(X1,c_0,X0),X0) = c_0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9107_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19347,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(c_0,c_times(X1,c_0,X0),X0) = c_0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2552]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2549,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(c_times(c_0,X1,X0),c_0,X0) = c_0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9106_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19341,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(c_times(c_0,X1,X0),c_0,X0) = c_0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2549]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2546,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(c_0,c_times(c_0,X1,X0),X0) = c_0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9105_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19335,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(c_0,c_times(c_0,X1,X0),X0) = c_0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2546]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2544,plain,
% 21.87/22.82      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | 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) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9104_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19331,plain,
% 21.87/22.82      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | 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) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2544]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2542,plain,
% 21.87/22.82      ( ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 21.87/22.82      | c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9103_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19327,plain,
% 21.87/22.82      ( ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 21.87/22.82      | c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2542]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2540,plain,
% 21.87/22.82      ( ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9102_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19323,plain,
% 21.87/22.82      ( ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2540]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2538,plain,
% 21.87/22.82      ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInr(X3,X1,X2) | X0 = X3 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9101_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19319,plain,
% 21.87/22.82      ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInr(X3,X1,X2) | X0 = X3 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2538]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2536,plain,
% 21.87/22.82      ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInl(X3,X1,X2) | X0 = X3 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9100_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19315,plain,
% 21.87/22.82      ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInl(X3,X1,X2) | X0 = X3 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2536]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2530,plain,
% 21.87/22.82      ( c_append(X0,X1,X2) != c_append(X0,X3,X2) | X1 = X3 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9098_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19303,plain,
% 21.87/22.82      ( c_append(X0,X1,X2) != c_append(X0,X3,X2) | X1 = X3 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2530]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2528,plain,
% 21.87/22.82      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 21.87/22.82      | X1 = X4 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9097_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19299,plain,
% 21.87/22.82      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 21.87/22.82      | X1 = X4 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2528]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2526,plain,
% 21.87/22.82      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 21.87/22.82      | X0 = X3 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9096_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19295,plain,
% 21.87/22.82      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 21.87/22.82      | X0 = X3 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2526]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2524,plain,
% 21.87/22.82      ( c_append(X0,X1,X2) != c_append(X3,X1,X2) | X0 = X3 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9095_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19291,plain,
% 21.87/22.82      ( c_append(X0,X1,X2) != c_append(X3,X1,X2) | X0 = X3 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2524]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2522,plain,
% 21.87/22.82      ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2)
% 21.87/22.82      | X0 = X3 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9094_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19287,plain,
% 21.87/22.82      ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2)
% 21.87/22.82      | X0 = X3 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2522]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2520,plain,
% 21.87/22.82      ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2)
% 21.87/22.82      | X0 = X3 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9093_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19283,plain,
% 21.87/22.82      ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2)
% 21.87/22.82      | X0 = X3 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2520]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2518,plain,
% 21.87/22.82      ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OAtom(X3,X1,X2)
% 21.87/22.82      | X0 = X3 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9092_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19279,plain,
% 21.87/22.82      ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OAtom(X3,X1,X2)
% 21.87/22.82      | X0 = X3 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2518]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2516,plain,
% 21.87/22.82      ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2)
% 21.87/22.82      | X0 = X3 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9091_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19275,plain,
% 21.87/22.82      ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2)
% 21.87/22.82      | X0 = X3 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2516]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2514,plain,
% 21.87/22.82      ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2)
% 21.87/22.82      | X0 = X3 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9090_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19271,plain,
% 21.87/22.82      ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2)
% 21.87/22.82      | X0 = X3 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2514]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2512,plain,
% 21.87/22.82      ( ~ c_less(X0,X1,tc_nat)
% 21.87/22.82      | c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_minus(X1,c_1,tc_nat) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9089_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19267,plain,
% 21.87/22.82      ( ~ c_less(X0,X1,tc_nat)
% 21.87/22.82      | c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_minus(X1,c_1,tc_nat) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2512]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2509,plain,
% 21.87/22.82      ( ~ class_Orderings_Oord(X0)
% 21.87/22.82      | ~ c_less(X1,X2,X0)
% 21.87/22.82      | c_in(X1,c_SetInterval_OlessThan(X2,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9088_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19261,plain,
% 21.87/22.82      ( ~ class_Orderings_Oord(X0)
% 21.87/22.82      | ~ c_less(X1,X2,X0)
% 21.87/22.82      | c_in(X1,c_SetInterval_OlessThan(X2,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2509]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19262,plain,
% 21.87/22.82      ( c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 21.87/22.82      | ~ c_less(X0,X1,X2)
% 21.87/22.82      | ~ class_Orderings_Oord(X2) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19261]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2506,plain,
% 21.87/22.82      ( ~ class_Orderings_Oord(X0)
% 21.87/22.82      | ~ c_less(X1,X2,X0)
% 21.87/22.82      | c_in(X2,c_SetInterval_OgreaterThan(X1,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9087_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19255,plain,
% 21.87/22.82      ( ~ class_Orderings_Oord(X0)
% 21.87/22.82      | ~ c_less(X1,X2,X0)
% 21.87/22.82      | c_in(X2,c_SetInterval_OgreaterThan(X1,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2506]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19256,plain,
% 21.87/22.82      ( c_in(X0,c_SetInterval_OgreaterThan(X1,X2),X2)
% 21.87/22.82      | ~ c_less(X1,X0,X2)
% 21.87/22.82      | ~ class_Orderings_Oord(X2) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19255]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2503,plain,
% 21.87/22.82      ( ~ class_Orderings_Oord(X0)
% 21.87/22.82      | ~ c_lessequals(X1,X2,X0)
% 21.87/22.82      | c_in(X1,c_SetInterval_OatMost(X2,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9086_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19249,plain,
% 21.87/22.82      ( ~ class_Orderings_Oord(X0)
% 21.87/22.82      | ~ c_lessequals(X1,X2,X0)
% 21.87/22.82      | c_in(X1,c_SetInterval_OatMost(X2,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2503]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19250,plain,
% 21.87/22.82      ( c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 21.87/22.82      | ~ c_lessequals(X0,X1,X2)
% 21.87/22.82      | ~ class_Orderings_Oord(X2) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19249]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2500,plain,
% 21.87/22.82      ( ~ class_Orderings_Oord(X0)
% 21.87/22.82      | ~ c_lessequals(X1,X2,X0)
% 21.87/22.82      | c_in(X2,c_SetInterval_OatLeast(X1,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9085_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19243,plain,
% 21.87/22.82      ( ~ class_Orderings_Oord(X0)
% 21.87/22.82      | ~ c_lessequals(X1,X2,X0)
% 21.87/22.82      | c_in(X2,c_SetInterval_OatLeast(X1,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2500]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19244,plain,
% 21.87/22.82      ( c_in(X0,c_SetInterval_OatLeast(X1,X2),X2)
% 21.87/22.82      | ~ c_lessequals(X1,X0,X2)
% 21.87/22.82      | ~ class_Orderings_Oord(X2) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19243]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2497,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_divide(X1,X2,X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9084_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19237,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_divide(X1,X2,X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2497]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2495,plain,
% 21.87/22.82      ( X0 = c_0
% 21.87/22.82      | c_List_Oset(c_List_Oreplicate(X0,X1,X2),X2) = c_insert(X1,c_emptyset,X2) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9083_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19233,plain,
% 21.87/22.82      ( X0 = c_0
% 21.87/22.82      | c_List_Oset(c_List_Oreplicate(X0,X1,X2),X2) = c_insert(X1,c_emptyset,X2) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2495]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19234,plain,
% 21.87/22.82      ( c_List_Oset(c_List_Oreplicate(X0,X1,X2),X2) = c_insert(X1,c_emptyset,X2)
% 21.87/22.82      | X0 = c_0 ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19233]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2491,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.82      | ~ c_less(c_0,X1,X0)
% 21.87/22.82      | c_less(c_0,c_HOL_Oinverse(X1,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9082_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19225,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.82      | ~ c_less(c_0,X1,X0)
% 21.87/22.82      | c_less(c_0,c_HOL_Oinverse(X1,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2491]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19226,plain,
% 21.87/22.82      ( c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 21.87/22.82      | ~ c_less(c_0,X0,X1)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.87/22.82      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19225]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2487,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.82      | ~ c_lessequals(X1,c_0,X0)
% 21.87/22.82      | c_lessequals(c_HOL_Oinverse(X1,X0),c_0,X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9081_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19217,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.82      | ~ c_lessequals(X1,c_0,X0)
% 21.87/22.82      | c_lessequals(c_HOL_Oinverse(X1,X0),c_0,X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2487]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19218,plain,
% 21.87/22.82      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 21.87/22.82      | ~ c_lessequals(X0,c_0,X1)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.87/22.82      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19217]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2483,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.82      | ~ c_lessequals(c_0,X1,X0)
% 21.87/22.82      | c_lessequals(c_0,c_HOL_Oinverse(X1,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9080_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19209,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.82      | ~ c_lessequals(c_0,X1,X0)
% 21.87/22.82      | c_lessequals(c_0,c_HOL_Oinverse(X1,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2483]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19210,plain,
% 21.87/22.82      ( c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 21.87/22.82      | ~ c_lessequals(c_0,X0,X1)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.87/22.82      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19209]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2479,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.82      | ~ c_less(X1,c_0,X0)
% 21.87/22.82      | c_less(c_HOL_Oinverse(X1,X0),c_0,X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9079_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19201,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.87/22.82      | ~ c_less(X1,c_0,X0)
% 21.87/22.82      | c_less(c_HOL_Oinverse(X1,X0),c_0,X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2479]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19202,plain,
% 21.87/22.82      ( c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 21.87/22.82      | ~ c_less(X0,c_0,X1)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.87/22.82      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19201]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2477,plain,
% 21.87/22.82      ( c_List_Odrop(X0,X1,X2) != c_List_Olist_ONil
% 21.87/22.82      | c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9078_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19197,plain,
% 21.87/22.82      ( c_List_Odrop(X0,X1,X2) != c_List_Olist_ONil
% 21.87/22.82      | c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2477]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19198,plain,
% 21.87/22.82      ( c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 21.87/22.82      | c_List_Odrop(X2,X0,X1) != c_List_Olist_ONil ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19197]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2475,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9077_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19193,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2475]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2471,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | X1 = c_0
% 21.87/22.82      | c_times(X1,c_divide(X2,X1,X0),X0) = X2 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9076_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19185,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | X1 = c_0
% 21.87/22.82      | c_times(X1,c_divide(X2,X1,X0),X0) = X2 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2471]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19186,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_times(X1,c_divide(X2,X1,X0),X0) = X2
% 21.87/22.82      | X1 = c_0 ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19185]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2467,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | X1 = c_0
% 21.87/22.82      | c_times(c_divide(X2,X1,X0),X1,X0) = X2 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9075_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19177,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | X1 = c_0
% 21.87/22.82      | c_times(c_divide(X2,X1,X0),X1,X0) = X2 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2467]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19178,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_times(c_divide(X1,X2,X0),X2,X0) = X1
% 21.87/22.82      | X2 = c_0 ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19177]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2463,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | X1 = c_0
% 21.87/22.82      | c_divide(c_times(X2,X1,X0),X1,X0) = X2 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9074_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19169,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | X1 = c_0
% 21.87/22.82      | c_divide(c_times(X2,X1,X0),X1,X0) = X2 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2463]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19170,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(c_times(X1,X2,X0),X2,X0) = X1
% 21.87/22.82      | X2 = c_0 ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19169]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2459,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | X1 = c_0
% 21.87/22.82      | c_divide(c_times(X1,X2,X0),X1,X0) = X2 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9073_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19161,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | X1 = c_0
% 21.87/22.82      | c_divide(c_times(X1,X2,X0),X1,X0) = X2 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2459]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19162,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(c_times(X1,X2,X0),X1,X0) = X2
% 21.87/22.82      | X1 = c_0 ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19161]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2453,plain,
% 21.87/22.82      ( ~ c_in(X0,c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2))
% 21.87/22.82      | c_List_Oconcat(X1,X2) != c_List_Olist_ONil
% 21.87/22.82      | X0 = c_List_Olist_ONil ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9071_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19149,plain,
% 21.87/22.82      ( ~ c_in(X0,c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2))
% 21.87/22.82      | c_List_Oconcat(X1,X2) != c_List_Olist_ONil
% 21.87/22.82      | X0 = c_List_Olist_ONil ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2453]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2450,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.87/22.82      | c_plus(X1,X2,X0) != c_plus(X3,X2,X0)
% 21.87/22.82      | X1 = X3 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9070_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19143,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.87/22.82      | c_plus(X1,X2,X0) != c_plus(X3,X2,X0)
% 21.87/22.82      | X1 = X3 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2450]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2447,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.87/22.82      | c_plus(X1,X2,X0) != c_plus(X1,X3,X0)
% 21.87/22.82      | X2 = X3 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9069_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19137,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 21.87/22.82      | c_plus(X1,X2,X0) != c_plus(X1,X3,X0)
% 21.87/22.82      | X2 = X3 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2447]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2443,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_times(X1,X2,X0) != c_times(X3,X2,X0)
% 21.87/22.82      | X1 = X3
% 21.87/22.82      | X2 = c_0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9068_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19129,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_times(X1,X2,X0) != c_times(X3,X2,X0)
% 21.87/22.82      | X1 = X3
% 21.87/22.82      | X2 = c_0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2443]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19130,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_times(X1,X2,X0) != c_times(X3,X2,X0)
% 21.87/22.82      | X2 = c_0
% 21.87/22.82      | X1 = X3 ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19129]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2439,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_times(X1,X2,X0) != c_times(X1,X3,X0)
% 21.87/22.82      | X2 = X3
% 21.87/22.82      | X1 = c_0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9067_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19121,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_times(X1,X2,X0) != c_times(X1,X3,X0)
% 21.87/22.82      | X2 = X3
% 21.87/22.82      | X1 = c_0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2439]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19122,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_times(X1,X2,X0) != c_times(X1,X3,X0)
% 21.87/22.82      | X1 = c_0
% 21.87/22.82      | X2 = X3 ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19121]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2437,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.82      | c_uminus(c_minus(X1,X2,X0),X0) = c_minus(X2,X1,X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9066_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19117,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.82      | c_uminus(c_minus(X1,X2,X0),X0) = c_minus(X2,X1,X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2437]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2435,plain,
% 21.87/22.82      ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_in(X0,c_Pow(X1,X2),tc_set(X2)) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9065_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19113,plain,
% 21.87/22.82      ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_in(X0,c_Pow(X1,X2),tc_set(X2)) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2435]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19114,plain,
% 21.87/22.82      ( c_in(X0,c_Pow(X1,X2),tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19113]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2409,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.82      | ~ c_less(c_uminus(X1,X0),c_0,X0)
% 21.87/22.82      | c_less(c_0,X1,X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9057_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19061,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.82      | ~ c_less(c_uminus(X1,X0),c_0,X0)
% 21.87/22.82      | c_less(c_0,X1,X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2409]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19062,plain,
% 21.87/22.82      ( c_less(c_0,X0,X1)
% 21.87/22.82      | ~ c_less(c_uminus(X0,X1),c_0,X1)
% 21.87/22.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19061]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2406,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.82      | ~ c_lessequals(c_uminus(X1,X0),c_0,X0)
% 21.87/22.82      | c_lessequals(c_0,X1,X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9056_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19055,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.82      | ~ c_lessequals(c_uminus(X1,X0),c_0,X0)
% 21.87/22.82      | c_lessequals(c_0,X1,X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2406]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19056,plain,
% 21.87/22.82      ( c_lessequals(c_0,X0,X1)
% 21.87/22.82      | ~ c_lessequals(c_uminus(X0,X1),c_0,X1)
% 21.87/22.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_19055]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2397,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0)
% 21.87/22.82      | c_Numeral_Onumber__of(X1,X0) = c_0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9053_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19037,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0)
% 21.87/22.82      | c_Numeral_Onumber__of(X1,X0) = c_0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2397]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2395,plain,
% 21.87/22.82      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X0,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9052_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_19033,plain,
% 21.87/22.82      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X0,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2395]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2374,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(X1,X2,X0) != c_divide(X3,X2,X0)
% 21.87/22.82      | X1 = X3
% 21.87/22.82      | X2 = c_0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9046_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18991,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(X1,X2,X0) != c_divide(X3,X2,X0)
% 21.87/22.82      | X1 = X3
% 21.87/22.82      | X2 = c_0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2374]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18992,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(X1,X2,X0) != c_divide(X3,X2,X0)
% 21.87/22.82      | X2 = c_0
% 21.87/22.82      | X1 = X3 ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18991]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2369,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(X1,X2,X0) != c_divide(X1,X3,X0)
% 21.87/22.82      | X2 = X3
% 21.87/22.82      | X1 = c_0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9045_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18981,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(X1,X2,X0) != c_divide(X1,X3,X0)
% 21.87/22.82      | X2 = X3
% 21.87/22.82      | X1 = c_0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2369]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18982,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(X1,X2,X0) != c_divide(X1,X3,X0)
% 21.87/22.82      | X1 = c_0
% 21.87/22.82      | X2 = X3 ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18981]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2366,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_HOL_Oinverse(c_divide(X1,X2,X0),X0) = c_divide(X2,X1,X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9044_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18975,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_HOL_Oinverse(c_divide(X1,X2,X0),X0) = c_divide(X2,X1,X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2366]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2360,plain,
% 21.87/22.82      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.87/22.82      | c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9042_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18963,plain,
% 21.87/22.82      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.87/22.82      | c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2360]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18964,plain,
% 21.87/22.82      ( c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 21.87/22.82      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18963]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2358,plain,
% 21.87/22.82      ( ~ c_less(X0,X1,tc_set(X2)) | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9041_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18959,plain,
% 21.87/22.82      ( ~ c_less(X0,X1,tc_set(X2)) | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2358]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18960,plain,
% 21.87/22.82      ( ~ c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X1,X0,tc_set(X2)) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18959]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2339,plain,
% 21.87/22.82      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 21.87/22.82      | ~ c_lessequals(X1,X0,tc_set(X2))
% 21.87/22.82      | X1 = X0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9036_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18921,plain,
% 21.87/22.82      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 21.87/22.82      | ~ c_lessequals(X1,X0,tc_set(X2))
% 21.87/22.82      | X1 = X0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2339]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2328,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 21.87/22.82      | c_Numeral_Onumber__of(X1,X0) = c_0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9033_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18899,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 21.87/22.82      | c_Numeral_Onumber__of(X1,X0) = c_0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2328]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2326,plain,
% 21.87/22.82      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9032_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18895,plain,
% 21.87/22.82      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2326]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2324,plain,
% 21.87/22.82      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 21.87/22.82      | c_Parity_Oeven(X0,tc_nat) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9031_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18891,plain,
% 21.87/22.82      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 21.87/22.82      | c_Parity_Oeven(X0,tc_nat) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2324]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2322,plain,
% 21.87/22.82      ( ~ c_less(c_0,X0,tc_nat) | c_Suc(c_minus(X0,c_Suc(c_0),tc_nat)) = X0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9030_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18887,plain,
% 21.87/22.82      ( ~ c_less(c_0,X0,tc_nat) | c_Suc(c_minus(X0,c_Suc(c_0),tc_nat)) = X0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2322]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2320,plain,
% 21.87/22.82      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat)
% 21.87/22.82      | c_List_Orotate(X2,X0,X1) = X0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9029_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18883,plain,
% 21.87/22.82      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat)
% 21.87/22.82      | c_List_Orotate(X2,X0,X1) = X0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2320]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2318,plain,
% 21.87/22.82      ( ~ c_in(X0,c_Pow(X1,X2),tc_set(X2)) | c_lessequals(X0,X1,tc_set(X2)) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9028_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18879,plain,
% 21.87/22.82      ( ~ c_in(X0,c_Pow(X1,X2),tc_set(X2)) | c_lessequals(X0,X1,tc_set(X2)) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2318]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2311,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.82      | ~ c_less(X1,X2,tc_nat)
% 21.87/22.82      | c_less(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9026_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18865,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.82      | ~ c_less(X1,X2,tc_nat)
% 21.87/22.82      | c_less(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2311]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18866,plain,
% 21.87/22.82      ( c_less(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 21.87/22.82      | ~ c_less(X0,X2,tc_nat)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18865]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2308,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.82      | ~ c_lessequals(X1,X2,tc_nat)
% 21.87/22.82      | c_lessequals(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9025_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18859,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 21.87/22.82      | ~ c_lessequals(X1,X2,tc_nat)
% 21.87/22.82      | c_lessequals(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2308]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18860,plain,
% 21.87/22.82      ( c_lessequals(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 21.87/22.82      | ~ c_lessequals(X0,X2,tc_nat)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18859]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2305,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.82      | ~ c_less(X1,X2,tc_IntDef_Oint)
% 21.87/22.82      | c_less(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9024_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18853,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.82      | ~ c_less(X1,X2,tc_IntDef_Oint)
% 21.87/22.82      | c_less(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2305]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18854,plain,
% 21.87/22.82      ( c_less(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 21.87/22.82      | ~ c_less(X0,X2,tc_IntDef_Oint)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18853]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2302,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.82      | ~ c_lessequals(X1,X2,tc_IntDef_Oint)
% 21.87/22.82      | c_lessequals(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9023_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18847,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.82      | ~ c_lessequals(X1,X2,tc_IntDef_Oint)
% 21.87/22.82      | c_lessequals(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2302]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18848,plain,
% 21.87/22.82      ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 21.87/22.82      | ~ c_lessequals(X0,X2,tc_IntDef_Oint)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18847]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2298,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0)
% 21.87/22.82      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9022_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18839,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0)
% 21.87/22.82      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2298]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18840,plain,
% 21.87/22.82      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.87/22.82      | ~ class_Numeral_Onumber__ring(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18839]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2296,plain,
% 21.87/22.82      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 21.87/22.82      | c_List_Odrop(X2,X0,X1) = c_List_Olist_ONil ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9021_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18835,plain,
% 21.87/22.82      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 21.87/22.82      | c_List_Odrop(X2,X0,X1) = c_List_Olist_ONil ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2296]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2294,plain,
% 21.87/22.82      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 21.87/22.82      | c_List_Otake(X2,X0,X1) = X0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9020_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18831,plain,
% 21.87/22.82      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 21.87/22.82      | c_List_Otake(X2,X0,X1) = X0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2294]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2292,plain,
% 21.87/22.82      ( c_Divides_Oop_Amod(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_0
% 21.87/22.82      | c_List_Orotate(X0,X1,X2) = X1 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9019_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18827,plain,
% 21.87/22.82      ( c_Divides_Oop_Amod(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_0
% 21.87/22.82      | c_List_Orotate(X0,X1,X2) = X1 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2292]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2285,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.82      | ~ c_lessequals(X1,X2,X0)
% 21.87/22.82      | c_lessequals(c_OrderedGroup_Opprt(X1,X0),c_OrderedGroup_Opprt(X2,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9017_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18813,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.82      | ~ c_lessequals(X1,X2,X0)
% 21.87/22.82      | c_lessequals(c_OrderedGroup_Opprt(X1,X0),c_OrderedGroup_Opprt(X2,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2285]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18814,plain,
% 21.87/22.82      ( c_lessequals(c_OrderedGroup_Opprt(X0,X1),c_OrderedGroup_Opprt(X2,X1),X1)
% 21.87/22.82      | ~ c_lessequals(X0,X2,X1)
% 21.87/22.82      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18813]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2282,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.82      | ~ c_lessequals(X1,X2,X0)
% 21.87/22.82      | c_lessequals(c_OrderedGroup_Onprt(X1,X0),c_OrderedGroup_Onprt(X2,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9016_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18807,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.82      | ~ c_lessequals(X1,X2,X0)
% 21.87/22.82      | c_lessequals(c_OrderedGroup_Onprt(X1,X0),c_OrderedGroup_Onprt(X2,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2282]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18808,plain,
% 21.87/22.82      ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_OrderedGroup_Onprt(X2,X1),X1)
% 21.87/22.82      | ~ c_lessequals(X0,X2,X1)
% 21.87/22.82      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18807]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2279,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.82      | ~ c_less(X1,X2,X0)
% 21.87/22.82      | c_less(c_uminus(X2,X0),c_uminus(X1,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9015_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18801,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.82      | ~ c_less(X1,X2,X0)
% 21.87/22.82      | c_less(c_uminus(X2,X0),c_uminus(X1,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2279]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18802,plain,
% 21.87/22.82      ( c_less(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 21.87/22.82      | ~ c_less(X2,X0,X1)
% 21.87/22.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18801]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2276,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.82      | ~ c_lessequals(X1,X2,X0)
% 21.87/22.82      | c_lessequals(c_uminus(X2,X0),c_uminus(X1,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9014_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18795,plain,
% 21.87/22.82      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.82      | ~ c_lessequals(X1,X2,X0)
% 21.87/22.82      | c_lessequals(c_uminus(X2,X0),c_uminus(X1,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2276]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18796,plain,
% 21.87/22.82      ( c_lessequals(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 21.87/22.82      | ~ c_lessequals(X2,X0,X1)
% 21.87/22.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18795]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2274,plain,
% 21.87/22.82      ( X0 = c_List_Olist_ONil
% 21.87/22.82      | c_append(c_List_Otl(X0,X1),X2,X1) = c_List_Otl(c_append(X0,X2,X1),X1) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9013_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18791,plain,
% 21.87/22.82      ( X0 = c_List_Olist_ONil
% 21.87/22.82      | c_append(c_List_Otl(X0,X1),X2,X1) = c_List_Otl(c_append(X0,X2,X1),X1) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2274]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18792,plain,
% 21.87/22.82      ( c_append(c_List_Otl(X0,X1),X2,X1) = c_List_Otl(c_append(X0,X2,X1),X1)
% 21.87/22.82      | X0 = c_List_Olist_ONil ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18791]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2272,plain,
% 21.87/22.82      ( X0 = c_List_Olist_ONil
% 21.87/22.82      | c_List_Olist_OCons(X1,c_List_Obutlast(X0,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X1,X0,X2),X2) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9012_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18787,plain,
% 21.87/22.82      ( X0 = c_List_Olist_ONil
% 21.87/22.82      | c_List_Olist_OCons(X1,c_List_Obutlast(X0,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X1,X0,X2),X2) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2272]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18788,plain,
% 21.87/22.82      ( c_List_Olist_OCons(X0,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X0,X1,X2),X2)
% 21.87/22.82      | X1 = c_List_Olist_ONil ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18787]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2270,plain,
% 21.87/22.82      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | X0 = c_0 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9011_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18783,plain,
% 21.87/22.82      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | X0 = c_0 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2270]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2267,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | 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) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9010_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18777,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | 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) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2267]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2264,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | 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) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9009_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18771,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | 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) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2264]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2260,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 21.87/22.82      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9008_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18763,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 21.87/22.82      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2260]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18764,plain,
% 21.87/22.82      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 21.87/22.82      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.87/22.82      | ~ class_Numeral_Onumber__ring(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18763]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2258,plain,
% 21.87/22.82      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 21.87/22.82      | c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9007_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18759,plain,
% 21.87/22.82      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 21.87/22.82      | c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2258]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2256,plain,
% 21.87/22.82      ( ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 21.87/22.82      | c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9006_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18755,plain,
% 21.87/22.82      ( ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 21.87/22.82      | c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2256]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2254,plain,
% 21.87/22.82      ( ~ c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 21.87/22.82      | c_List_Odistinct(X1,X2) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9005_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18751,plain,
% 21.87/22.82      ( ~ c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 21.87/22.82      | c_List_Odistinct(X1,X2) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2254]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2252,plain,
% 21.87/22.82      ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2) | c_List_Odistinct(X1,X2) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9004_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18747,plain,
% 21.87/22.82      ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2) | c_List_Odistinct(X1,X2) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2252]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2250,plain,
% 21.87/22.82      ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2) | c_List_Odistinct(X0,X2) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9003_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18743,plain,
% 21.87/22.82      ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2) | c_List_Odistinct(X0,X2) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2250]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2248,plain,
% 21.87/22.82      ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 21.87/22.82      | c_List_Odistinct(X1,X2) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9002_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18739,plain,
% 21.87/22.82      ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 21.87/22.82      | c_List_Odistinct(X1,X2) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2248]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2246,plain,
% 21.87/22.82      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 21.87/22.82      | c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Numeral_Onumber__of(X0,tc_nat),X3) = X1 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9001_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18735,plain,
% 21.87/22.82      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 21.87/22.82      | c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Numeral_Onumber__of(X0,tc_nat),X3) = X1 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2246]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2243,plain,
% 21.87/22.82      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.82      | ~ c_lessequals(X1,X2,X0)
% 21.87/22.82      | c_lessequals(c_SetInterval_OlessThan(X1,X0),c_SetInterval_OlessThan(X2,X0),tc_set(X0)) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_9000_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18729,plain,
% 21.87/22.82      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.82      | ~ c_lessequals(X1,X2,X0)
% 21.87/22.82      | c_lessequals(c_SetInterval_OlessThan(X1,X0),c_SetInterval_OlessThan(X2,X0),tc_set(X0)) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2243]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18730,plain,
% 21.87/22.82      ( c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X2,X1),tc_set(X1))
% 21.87/22.82      | ~ c_lessequals(X0,X2,X1)
% 21.87/22.82      | ~ class_Orderings_Olinorder(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18729]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2240,plain,
% 21.87/22.82      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.82      | ~ c_lessequals(X1,X2,X0)
% 21.87/22.82      | c_lessequals(c_SetInterval_OgreaterThan(X2,X0),c_SetInterval_OgreaterThan(X1,X0),tc_set(X0)) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8999_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18723,plain,
% 21.87/22.82      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.82      | ~ c_lessequals(X1,X2,X0)
% 21.87/22.82      | c_lessequals(c_SetInterval_OgreaterThan(X2,X0),c_SetInterval_OgreaterThan(X1,X0),tc_set(X0)) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2240]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18724,plain,
% 21.87/22.82      ( c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X2,X1),tc_set(X1))
% 21.87/22.82      | ~ c_lessequals(X2,X0,X1)
% 21.87/22.82      | ~ class_Orderings_Olinorder(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18723]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2237,plain,
% 21.87/22.82      ( ~ class_Orderings_Oorder(X0)
% 21.87/22.82      | ~ c_lessequals(X1,X2,X0)
% 21.87/22.82      | c_lessequals(c_SetInterval_OatMost(X1,X0),c_SetInterval_OatMost(X2,X0),tc_set(X0)) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8998_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18717,plain,
% 21.87/22.82      ( ~ class_Orderings_Oorder(X0)
% 21.87/22.82      | ~ c_lessequals(X1,X2,X0)
% 21.87/22.82      | c_lessequals(c_SetInterval_OatMost(X1,X0),c_SetInterval_OatMost(X2,X0),tc_set(X0)) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2237]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18718,plain,
% 21.87/22.82      ( c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X2,X1),tc_set(X1))
% 21.87/22.82      | ~ c_lessequals(X0,X2,X1)
% 21.87/22.82      | ~ class_Orderings_Oorder(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18717]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2234,plain,
% 21.87/22.82      ( ~ class_Orderings_Oorder(X0)
% 21.87/22.82      | ~ c_lessequals(X1,X2,X0)
% 21.87/22.82      | c_lessequals(c_SetInterval_OatLeast(X2,X0),c_SetInterval_OatLeast(X1,X0),tc_set(X0)) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8997_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18711,plain,
% 21.87/22.82      ( ~ class_Orderings_Oorder(X0)
% 21.87/22.82      | ~ c_lessequals(X1,X2,X0)
% 21.87/22.82      | c_lessequals(c_SetInterval_OatLeast(X2,X0),c_SetInterval_OatLeast(X1,X0),tc_set(X0)) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2234]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18712,plain,
% 21.87/22.82      ( c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X2,X1),tc_set(X1))
% 21.87/22.82      | ~ c_lessequals(X2,X0,X1)
% 21.87/22.82      | ~ class_Orderings_Oorder(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18711]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2228,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oring(X0)
% 21.87/22.82      | c_times(X1,c_uminus(X2,X0),X0) = c_uminus(c_times(X1,X2,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8995_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18699,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oring(X0)
% 21.87/22.82      | c_times(X1,c_uminus(X2,X0),X0) = c_uminus(c_times(X1,X2,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2228]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2226,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oring(X0)
% 21.87/22.82      | c_times(c_uminus(X1,X0),X2,X0) = c_uminus(c_times(X1,X2,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8994_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18695,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Oring(X0)
% 21.87/22.82      | c_times(c_uminus(X1,X0),X2,X0) = c_uminus(c_times(X1,X2,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2226]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2224,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(c_uminus(X1,X0),X2,X0) = c_uminus(c_divide(X1,X2,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8993_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18691,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(c_uminus(X1,X0),X2,X0) = c_uminus(c_divide(X1,X2,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2224]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2222,plain,
% 21.87/22.82      ( ~ class_Power_Orecpower(X0)
% 21.87/22.82      | 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 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8992_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18687,plain,
% 21.87/22.82      ( ~ class_Power_Orecpower(X0)
% 21.87/22.82      | 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 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2222]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2220,plain,
% 21.87/22.82      ( ~ class_Power_Orecpower(X0)
% 21.87/22.82      | 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 ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8991_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18683,plain,
% 21.87/22.82      ( ~ class_Power_Orecpower(X0)
% 21.87/22.82      | 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 ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2220]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2217,plain,
% 21.87/22.82      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | 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) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8990_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18677,plain,
% 21.87/22.82      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | 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) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2217]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2211,plain,
% 21.87/22.82      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.87/22.82      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8988_1) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18665,plain,
% 21.87/22.82      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 21.87/22.82      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2211]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2210,plain,
% 21.87/22.82      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 21.87/22.82      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8988_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18663,plain,
% 21.87/22.82      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 21.87/22.82      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2210]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2208,plain,
% 21.87/22.82      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 21.87/22.82      | c_Parity_Oeven(X0,tc_nat)
% 21.87/22.82      | c_Parity_Oeven(X1,tc_nat) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8987_1) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18659,plain,
% 21.87/22.82      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 21.87/22.82      | c_Parity_Oeven(X0,tc_nat)
% 21.87/22.82      | c_Parity_Oeven(X1,tc_nat) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2208]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2207,plain,
% 21.87/22.82      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 21.87/22.82      | c_Parity_Oeven(X1,tc_nat)
% 21.87/22.82      | c_Parity_Oeven(X0,tc_nat) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8987_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18657,plain,
% 21.87/22.82      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 21.87/22.82      | c_Parity_Oeven(X1,tc_nat)
% 21.87/22.82      | c_Parity_Oeven(X0,tc_nat) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2207]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2205,plain,
% 21.87/22.82      ( c_in(c_0,X0,tc_nat)
% 21.87/22.82      | c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X0,X2) = c_List_Olist_ONil ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8986_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18653,plain,
% 21.87/22.82      ( c_in(c_0,X0,tc_nat)
% 21.87/22.82      | c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X0,X2) = c_List_Olist_ONil ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2205]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2199,plain,
% 21.87/22.82      ( ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 21.87/22.82      | c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8984_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18641,plain,
% 21.87/22.82      ( ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 21.87/22.82      | c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2199]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2196,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(X1,c_uminus(X2,X0),X0) = c_uminus(c_divide(X1,X2,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8983_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18635,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(X1,c_uminus(X2,X0),X0) = c_uminus(c_divide(X1,X2,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2196]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2184,plain,
% 21.87/22.82      ( ~ class_HOL_Oone(X0)
% 21.87/22.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.82      | ~ c_less(X1,c_uminus(c_1,X0),X0)
% 21.87/22.82      | c_less(c_1,c_uminus(X1,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8980_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18611,plain,
% 21.87/22.82      ( ~ class_HOL_Oone(X0)
% 21.87/22.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.82      | ~ c_less(X1,c_uminus(c_1,X0),X0)
% 21.87/22.82      | c_less(c_1,c_uminus(X1,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2184]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18612,plain,
% 21.87/22.82      ( c_less(c_1,c_uminus(X0,X1),X1)
% 21.87/22.82      | ~ c_less(X0,c_uminus(c_1,X1),X1)
% 21.87/22.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 21.87/22.82      | ~ class_HOL_Oone(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18611]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2180,plain,
% 21.87/22.82      ( ~ class_HOL_Oone(X0)
% 21.87/22.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.82      | ~ c_lessequals(X1,c_uminus(c_1,X0),X0)
% 21.87/22.82      | c_lessequals(c_1,c_uminus(X1,X0),X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8979_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18603,plain,
% 21.87/22.82      ( ~ class_HOL_Oone(X0)
% 21.87/22.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.82      | ~ c_lessequals(X1,c_uminus(c_1,X0),X0)
% 21.87/22.82      | c_lessequals(c_1,c_uminus(X1,X0),X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2180]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18604,plain,
% 21.87/22.82      ( c_lessequals(c_1,c_uminus(X0,X1),X1)
% 21.87/22.82      | ~ c_lessequals(X0,c_uminus(c_1,X1),X1)
% 21.87/22.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 21.87/22.82      | ~ class_HOL_Oone(X1) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18603]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2158,plain,
% 21.87/22.82      ( ~ class_HOL_Oone(X0)
% 21.87/22.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.82      | ~ c_less(c_uminus(X1,X0),c_1,X0)
% 21.87/22.82      | c_less(c_uminus(c_1,X0),X1,X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8972_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18559,plain,
% 21.87/22.82      ( ~ class_HOL_Oone(X0)
% 21.87/22.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.82      | ~ c_less(c_uminus(X1,X0),c_1,X0)
% 21.87/22.82      | c_less(c_uminus(c_1,X0),X1,X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2158]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18560,plain,
% 21.87/22.82      ( c_less(c_uminus(c_1,X0),X1,X0)
% 21.87/22.82      | ~ c_less(c_uminus(X1,X0),c_1,X0)
% 21.87/22.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.82      | ~ class_HOL_Oone(X0) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18559]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2154,plain,
% 21.87/22.82      ( ~ class_HOL_Oone(X0)
% 21.87/22.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.82      | ~ c_lessequals(c_uminus(X1,X0),c_1,X0)
% 21.87/22.82      | c_lessequals(c_uminus(c_1,X0),X1,X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8971_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18551,plain,
% 21.87/22.82      ( ~ class_HOL_Oone(X0)
% 21.87/22.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.82      | ~ c_lessequals(c_uminus(X1,X0),c_1,X0)
% 21.87/22.82      | c_lessequals(c_uminus(c_1,X0),X1,X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2154]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18552,plain,
% 21.87/22.82      ( c_lessequals(c_uminus(c_1,X0),X1,X0)
% 21.87/22.82      | ~ c_lessequals(c_uminus(X1,X0),c_1,X0)
% 21.87/22.82      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.87/22.82      | ~ class_HOL_Oone(X0) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18551]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2140,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8967_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18523,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2140]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2131,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 21.87/22.82      | c_Numeral_Onumber__of(X1,X0) = c_Numeral_Onumber__of(X2,X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8964_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18505,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 21.87/22.82      | c_Numeral_Onumber__of(X1,X0) = c_Numeral_Onumber__of(X2,X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2131]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2125,plain,
% 21.87/22.82      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 21.87/22.82      | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat),tc_nat) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8962_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18493,plain,
% 21.87/22.82      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 21.87/22.82      | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat),tc_nat) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2125]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18494,plain,
% 21.87/22.82      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 21.87/22.82      | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18493]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2123,plain,
% 21.87/22.82      ( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
% 21.87/22.82      | c_lessequals(X0,X1,tc_set(X2)) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8961_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18489,plain,
% 21.87/22.82      ( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
% 21.87/22.82      | c_lessequals(X0,X1,tc_set(X2)) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2123]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2121,plain,
% 21.87/22.82      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.82      | c_Orderings_Omax(X1,c_Orderings_Omax(X1,X2,X0),X0) = c_Orderings_Omax(X1,X2,X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8960_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18485,plain,
% 21.87/22.82      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.82      | c_Orderings_Omax(X1,c_Orderings_Omax(X1,X2,X0),X0) = c_Orderings_Omax(X1,X2,X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2121]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2119,plain,
% 21.87/22.82      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.82      | c_Orderings_Omin(X1,c_Orderings_Omin(X1,X2,X0),X0) = c_Orderings_Omin(X1,X2,X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8959_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18481,plain,
% 21.87/22.82      ( ~ class_Orderings_Olinorder(X0)
% 21.87/22.82      | c_Orderings_Omin(X1,c_Orderings_Omin(X1,X2,X0),X0) = c_Orderings_Omin(X1,X2,X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2119]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2113,plain,
% 21.87/22.82      ( c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 21.87/22.82      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8957_1) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18469,plain,
% 21.87/22.82      ( c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 21.87/22.82      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2113]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18470,plain,
% 21.87/22.82      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18469]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2109,plain,
% 21.87/22.82      ( ~ c_List_Odistinct(X0,X1)
% 21.87/22.82      | c_List_Odistinct(c_List_Olist_OCons(X2,X0,X1),X1)
% 21.87/22.82      | c_in(X2,c_List_Oset(X0,X1),X1) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8956_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18461,plain,
% 21.87/22.82      ( ~ c_List_Odistinct(X0,X1)
% 21.87/22.82      | c_List_Odistinct(c_List_Olist_OCons(X2,X0,X1),X1)
% 21.87/22.82      | c_in(X2,c_List_Oset(X0,X1),X1) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2109]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18462,plain,
% 21.87/22.82      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 21.87/22.82      | c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 21.87/22.82      | ~ c_List_Odistinct(X1,X2) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18461]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2106,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | c_Numeral_Onumber__of(X1,X0) != c_1
% 21.87/22.82      | 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) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8955_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18455,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | c_Numeral_Onumber__of(X1,X0) != c_1
% 21.87/22.82      | 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) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2106]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18456,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | 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)
% 21.87/22.82      | c_Numeral_Onumber__of(X1,X0) != c_1 ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18455]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2081,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | 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) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8947_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18405,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | 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) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2081]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2071,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | X1 = c_0
% 21.87/22.82      | c_divide(X1,c_times(X2,X1,X0),X0) = c_divide(c_1,X2,X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8944_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18385,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | X1 = c_0
% 21.87/22.82      | c_divide(X1,c_times(X2,X1,X0),X0) = c_divide(c_1,X2,X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2071]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18386,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(X1,c_times(X2,X1,X0),X0) = c_divide(c_1,X2,X0)
% 21.87/22.82      | X1 = c_0 ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18385]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2067,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | X1 = c_0
% 21.87/22.82      | c_divide(X1,c_times(X1,X2,X0),X0) = c_divide(c_1,X2,X0) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8943_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18377,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | X1 = c_0
% 21.87/22.82      | c_divide(X1,c_times(X1,X2,X0),X0) = c_divide(c_1,X2,X0) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2067]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18378,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.87/22.82      | ~ class_Ring__and__Field_Ofield(X0)
% 21.87/22.82      | c_divide(X1,c_times(X1,X2,X0),X0) = c_divide(c_1,X2,X0)
% 21.87/22.82      | X1 = c_0 ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18377]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2064,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8942_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18371,plain,
% 21.87/22.82      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2064]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18372,plain,
% 21.87/22.82      ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.87/22.82      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.82      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.82      inference(rewriting,[status(thm)],[c_18371]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2059,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8940_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18361,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2059]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2057,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8939_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18357,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2057]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2055,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8938_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18353,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2055]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2053,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8937_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18349,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2053]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2051,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8936_0) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_18345,plain,
% 21.87/22.82      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.82      inference(copy,[status(esa)],[c_2051]) ).
% 21.87/22.82  
% 21.87/22.82  cnf(c_2049,plain,
% 21.87/22.82      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.82      | 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) ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8935_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18341,plain,
% 21.87/22.83      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.83      | 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) ),
% 21.87/22.83      inference(copy,[status(esa)],[c_2049]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_2047,plain,
% 21.87/22.83      ( ~ c_in(X0,X1,X2) | ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2) ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8934_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18337,plain,
% 21.87/22.83      ( ~ c_in(X0,X1,X2) | ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2) ),
% 21.87/22.83      inference(copy,[status(esa)],[c_2047]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18338,plain,
% 21.87/22.83      ( ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2) | ~ c_in(X0,X1,X2) ),
% 21.87/22.83      inference(rewriting,[status(thm)],[c_18337]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_2045,plain,
% 21.87/22.83      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 21.87/22.83      | c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X0,tc_set(X2)),tc_set(X2)) ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8933_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18333,plain,
% 21.87/22.83      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 21.87/22.83      | c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X0,tc_set(X2)),tc_set(X2)) ),
% 21.87/22.83      inference(copy,[status(esa)],[c_2045]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18334,plain,
% 21.87/22.83      ( c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 21.87/22.83      | ~ c_lessequals(X2,X0,tc_set(X1)) ),
% 21.87/22.83      inference(rewriting,[status(thm)],[c_18333]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_2043,plain,
% 21.87/22.83      ( ~ c_in(X0,X1,tc_prod(X2,X2))
% 21.87/22.83      | c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2)) ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8932_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18329,plain,
% 21.87/22.83      ( ~ c_in(X0,X1,tc_prod(X2,X2))
% 21.87/22.83      | c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2)) ),
% 21.87/22.83      inference(copy,[status(esa)],[c_2043]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18330,plain,
% 21.87/22.83      ( c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
% 21.87/22.83      | ~ c_in(X0,X1,tc_prod(X2,X2)) ),
% 21.87/22.83      inference(rewriting,[status(thm)],[c_18329]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_2041,plain,
% 21.87/22.83      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.83      | c_LOrder_Ojoin(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_LOrder_Omeet(X1,X2,X0),X0) ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8931_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18325,plain,
% 21.87/22.83      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.83      | c_LOrder_Ojoin(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_LOrder_Omeet(X1,X2,X0),X0) ),
% 21.87/22.83      inference(copy,[status(esa)],[c_2041]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_2039,plain,
% 21.87/22.83      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.83      | c_LOrder_Omeet(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_LOrder_Ojoin(X1,X2,X0),X0) ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8930_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18321,plain,
% 21.87/22.83      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.87/22.83      | c_LOrder_Omeet(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_LOrder_Ojoin(X1,X2,X0),X0) ),
% 21.87/22.83      inference(copy,[status(esa)],[c_2039]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_2037,plain,
% 21.87/22.83      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.83      | c_plus(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_plus(X1,X2,X0),X0) ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8929_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18317,plain,
% 21.87/22.83      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 21.87/22.83      | c_plus(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_plus(X1,X2,X0),X0) ),
% 21.87/22.83      inference(copy,[status(esa)],[c_2037]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_2035,plain,
% 21.87/22.83      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.83      | c_less(c_0,X1,tc_nat) ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8928_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18313,plain,
% 21.87/22.83      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.83      | c_less(c_0,X1,tc_nat) ),
% 21.87/22.83      inference(copy,[status(esa)],[c_2035]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18314,plain,
% 21.87/22.83      ( c_less(c_0,X0,tc_nat)
% 21.87/22.83      | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.83      inference(rewriting,[status(thm)],[c_18313]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_2033,plain,
% 21.87/22.83      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 21.87/22.83      | c_less(c_0,X1,tc_nat) ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8927_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18309,plain,
% 21.87/22.83      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 21.87/22.83      | c_less(c_0,X1,tc_nat) ),
% 21.87/22.83      inference(copy,[status(esa)],[c_2033]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18310,plain,
% 21.87/22.83      ( c_less(c_0,X0,tc_nat)
% 21.87/22.83      | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_nat),tc_nat) ),
% 21.87/22.83      inference(rewriting,[status(thm)],[c_18309]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_2031,plain,
% 21.87/22.83      ( ~ c_less(c_0,X0,tc_nat) | c_less(c_0,c_plus(X1,X0,tc_nat),tc_nat) ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8926_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18305,plain,
% 21.87/22.83      ( ~ c_less(c_0,X0,tc_nat) | c_less(c_0,c_plus(X1,X0,tc_nat),tc_nat) ),
% 21.87/22.83      inference(copy,[status(esa)],[c_2031]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18306,plain,
% 21.87/22.83      ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X1,tc_nat) ),
% 21.87/22.83      inference(rewriting,[status(thm)],[c_18305]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_2029,plain,
% 21.87/22.83      ( ~ c_less(c_0,X0,tc_nat) | c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8925_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18301,plain,
% 21.87/22.83      ( ~ c_less(c_0,X0,tc_nat) | c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) ),
% 21.87/22.83      inference(copy,[status(esa)],[c_2029]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18302,plain,
% 21.87/22.83      ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X0,tc_nat) ),
% 21.87/22.83      inference(rewriting,[status(thm)],[c_18301]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_2027,plain,
% 21.87/22.83      ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 21.87/22.83      | c_lessequals(c_0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8924_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18297,plain,
% 21.87/22.83      ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 21.87/22.83      | c_lessequals(c_0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.83      inference(copy,[status(esa)],[c_2027]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18298,plain,
% 21.87/22.83      ( c_lessequals(c_0,c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.83      | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 21.87/22.83      inference(rewriting,[status(thm)],[c_18297]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_2025,plain,
% 21.87/22.83      ( ~ c_less(X0,c_0,tc_IntDef_Oint)
% 21.87/22.83      | c_lessequals(c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8923_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18293,plain,
% 21.87/22.83      ( ~ c_less(X0,c_0,tc_IntDef_Oint)
% 21.87/22.83      | c_lessequals(c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 21.87/22.83      inference(copy,[status(esa)],[c_2025]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18294,plain,
% 21.87/22.83      ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.87/22.83      | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
% 21.87/22.83      inference(rewriting,[status(thm)],[c_18293]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_2022,plain,
% 21.87/22.83      ( ~ c_in(X0,X1,X2) | ~ c_lessequals(X1,X3,tc_set(X2)) | c_in(X0,X3,X2) ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8922_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18287,plain,
% 21.87/22.83      ( ~ c_in(X0,X1,X2) | ~ c_lessequals(X1,X3,tc_set(X2)) | c_in(X0,X3,X2) ),
% 21.87/22.83      inference(copy,[status(esa)],[c_2022]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18288,plain,
% 21.87/22.83      ( ~ c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 21.87/22.83      inference(rewriting,[status(thm)],[c_18287]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_2019,plain,
% 21.87/22.83      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 21.87/22.83      | c_append(X3,X0,X1) != c_append(X4,X2,X1)
% 21.87/22.83      | X0 = X2 ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8921_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18281,plain,
% 21.87/22.83      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 21.87/22.83      | c_append(X3,X0,X1) != c_append(X4,X2,X1)
% 21.87/22.83      | X0 = X2 ),
% 21.87/22.83      inference(copy,[status(esa)],[c_2019]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_2016,plain,
% 21.87/22.83      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 21.87/22.83      | c_append(X3,X0,X1) != c_append(X4,X2,X1)
% 21.87/22.83      | X3 = X4 ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8920_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18275,plain,
% 21.87/22.83      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 21.87/22.83      | c_append(X3,X0,X1) != c_append(X4,X2,X1)
% 21.87/22.83      | X3 = X4 ),
% 21.87/22.83      inference(copy,[status(esa)],[c_2016]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_2013,plain,
% 21.87/22.83      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 21.87/22.83      | c_append(X0,X3,X1) != c_append(X2,X4,X1)
% 21.87/22.83      | X3 = X4 ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8919_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18269,plain,
% 21.87/22.83      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 21.87/22.83      | c_append(X0,X3,X1) != c_append(X2,X4,X1)
% 21.87/22.83      | X3 = X4 ),
% 21.87/22.83      inference(copy,[status(esa)],[c_2013]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_2010,plain,
% 21.87/22.83      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 21.87/22.83      | c_append(X0,X3,X1) != c_append(X2,X4,X1)
% 21.87/22.83      | X0 = X2 ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8918_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18263,plain,
% 21.87/22.83      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 21.87/22.83      | c_append(X0,X3,X1) != c_append(X2,X4,X1)
% 21.87/22.83      | X0 = X2 ),
% 21.87/22.83      inference(copy,[status(esa)],[c_2010]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_2006,plain,
% 21.87/22.83      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.83      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.83      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 21.87/22.83      | c_lessequals(c_Numeral_Onumber__of(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8917_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18255,plain,
% 21.87/22.83      ( ~ class_Numeral_Onumber__ring(X0)
% 21.87/22.83      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.87/22.83      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 21.87/22.83      | c_lessequals(c_Numeral_Onumber__of(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.87/22.83      inference(copy,[status(esa)],[c_2006]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18256,plain,
% 21.87/22.83      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 21.87/22.83      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 21.87/22.83      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.87/22.83      | ~ class_Numeral_Onumber__ring(X1) ),
% 21.87/22.83      inference(rewriting,[status(thm)],[c_18255]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_2004,plain,
% 21.87/22.83      ( ~ c_less(X0,X1,tc_IntDef_Oint)
% 21.87/22.83      | c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8916_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18251,plain,
% 21.87/22.83      ( ~ c_less(X0,X1,tc_IntDef_Oint)
% 21.87/22.83      | c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.83      inference(copy,[status(esa)],[c_2004]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18252,plain,
% 21.87/22.83      ( c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.87/22.83      | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 21.87/22.83      inference(rewriting,[status(thm)],[c_18251]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_2002,plain,
% 21.87/22.83      ( ~ c_lessequals(X0,X1,tc_IntDef_Oint)
% 21.87/22.83      | c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8915_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18247,plain,
% 21.87/22.83      ( ~ c_lessequals(X0,X1,tc_IntDef_Oint)
% 21.87/22.83      | c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.83      inference(copy,[status(esa)],[c_2002]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_2000,plain,
% 21.87/22.83      ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 21.87/22.83      | c_less(c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),X0,tc_IntDef_Oint) ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8914_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18243,plain,
% 21.87/22.83      ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 21.87/22.83      | c_less(c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),X0,tc_IntDef_Oint) ),
% 21.87/22.83      inference(copy,[status(esa)],[c_2000]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_1998,plain,
% 21.87/22.83      ( ~ c_less(X0,c_0,tc_IntDef_Oint)
% 21.87/22.83      | c_less(X0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8913_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18239,plain,
% 21.87/22.83      ( ~ c_less(X0,c_0,tc_IntDef_Oint)
% 21.87/22.83      | c_less(X0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.87/22.83      inference(copy,[status(esa)],[c_1998]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_1996,plain,
% 21.87/22.83      ( ~ c_less(c_0,X0,tc_nat)
% 21.87/22.83      | c_less(c_Divides_Oop_Amod(X1,X0,tc_nat),X0,tc_nat) ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8912_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18235,plain,
% 21.87/22.83      ( ~ c_less(c_0,X0,tc_nat)
% 21.87/22.83      | c_less(c_Divides_Oop_Amod(X1,X0,tc_nat),X0,tc_nat) ),
% 21.87/22.83      inference(copy,[status(esa)],[c_1996]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_1994,plain,
% 21.87/22.83      ( ~ c_less(c_0,X0,tc_nat)
% 21.87/22.83      | c_lessequals(c_Divides_Oop_Amod(X1,X0,tc_nat),X0,tc_nat) ),
% 21.87/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8911_0) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18231,plain,
% 21.87/22.83      ( ~ c_less(c_0,X0,tc_nat)
% 21.87/22.83      | c_lessequals(c_Divides_Oop_Amod(X1,X0,tc_nat),X0,tc_nat) ),
% 21.87/22.83      inference(copy,[status(esa)],[c_1994]) ).
% 21.87/22.83  
% 21.87/22.83  cnf(c_18232,plain,
% 21.94/22.83      ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 21.94/22.83      | ~ c_less(c_0,X1,tc_nat) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_18231]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1992,plain,
% 21.94/22.83      ( X0 = c_List_Olist_ONil
% 21.94/22.83      | c_append(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil,X1),X1) = X0 ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8910_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18227,plain,
% 21.94/22.83      ( X0 = c_List_Olist_ONil
% 21.94/22.83      | c_append(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil,X1),X1) = X0 ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1992]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18228,plain,
% 21.94/22.83      ( c_append(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil,X1),X1) = X0
% 21.94/22.83      | X0 = c_List_Olist_ONil ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_18227]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1990,plain,
% 21.94/22.83      ( ~ c_less(c_0,X0,tc_nat) | c_div(c_times(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8909_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18223,plain,
% 21.94/22.83      ( ~ c_less(c_0,X0,tc_nat) | c_div(c_times(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1990]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1988,plain,
% 21.94/22.83      ( ~ c_less(c_0,X0,tc_nat) | c_div(c_times(X0,X1,tc_nat),X0,tc_nat) = X1 ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8908_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18219,plain,
% 21.94/22.83      ( ~ c_less(c_0,X0,tc_nat) | c_div(c_times(X0,X1,tc_nat),X0,tc_nat) = X1 ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1988]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1974,plain,
% 21.94/22.83      ( ~ c_less(X0,X1,tc_nat) | c_less(c_0,c_minus(X1,X0,tc_nat),tc_nat) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8903_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18191,plain,
% 21.94/22.83      ( ~ c_less(X0,X1,tc_nat) | c_less(c_0,c_minus(X1,X0,tc_nat),tc_nat) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1974]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18192,plain,
% 21.94/22.83      ( c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | ~ c_less(X1,X0,tc_nat) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_18191]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1968,plain,
% 21.94/22.83      ( ~ c_less(c_0,c_Nat_Opower(c_0,X0,tc_nat),tc_nat) | X0 = c_0 ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8901_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18179,plain,
% 21.94/22.83      ( ~ c_less(c_0,c_Nat_Opower(c_0,X0,tc_nat),tc_nat) | X0 = c_0 ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1968]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1965,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Ofield(X0)
% 21.94/22.83      | c_times(c_HOL_Oinverse(X1,X0),c_HOL_Oinverse(X2,X0),X0) = c_HOL_Oinverse(c_times(X1,X2,X0),X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8900_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18173,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Ofield(X0)
% 21.94/22.83      | c_times(c_HOL_Oinverse(X1,X0),c_HOL_Oinverse(X2,X0),X0) = c_HOL_Oinverse(c_times(X1,X2,X0),X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1965]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1960,plain,
% 21.94/22.83      ( ~ c_lessequals(c_1,X0,tc_nat)
% 21.94/22.83      | c_lessequals(c_Suc(c_0),c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8898_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18163,plain,
% 21.94/22.83      ( ~ c_lessequals(c_1,X0,tc_nat)
% 21.94/22.83      | c_lessequals(c_Suc(c_0),c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1960]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1958,plain,
% 21.94/22.83      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.83      | c_plus(X0,c_minus(X1,X0,tc_nat),tc_nat) = X1 ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8897_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18159,plain,
% 21.94/22.83      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.83      | c_plus(X0,c_minus(X1,X0,tc_nat),tc_nat) = X1 ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1958]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1956,plain,
% 21.94/22.83      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.83      | c_plus(c_minus(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8896_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18155,plain,
% 21.94/22.83      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.83      | c_plus(c_minus(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1956]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1954,plain,
% 21.94/22.83      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.83      | c_minus(X1,c_minus(X1,X0,tc_nat),tc_nat) = X0 ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8895_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18151,plain,
% 21.94/22.83      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.83      | c_minus(X1,c_minus(X1,X0,tc_nat),tc_nat) = X0 ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1954]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1948,plain,
% 21.94/22.83      ( ~ c_less(X0,X1,tc_nat)
% 21.94/22.83      | c_List_Onth(c_List_Oreplicate(X1,X2,X3),X0,X3) = X2 ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8893_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18139,plain,
% 21.94/22.83      ( ~ c_less(X0,X1,tc_nat)
% 21.94/22.83      | c_List_Onth(c_List_Oreplicate(X1,X2,X3),X0,X3) = X2 ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1948]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1946,plain,
% 21.94/22.83      ( ~ c_in(X0,X1,X2) | c_in(X0,c_insert(X3,X1,X2),X2) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8892_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18135,plain,
% 21.94/22.83      ( ~ c_in(X0,X1,X2) | c_in(X0,c_insert(X3,X1,X2),X2) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1946]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18136,plain,
% 21.94/22.83      ( c_in(X0,c_insert(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_18135]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1944,plain,
% 21.94/22.83      ( ~ c_in(X0,X1,X2) | c_in(X0,c_union(X3,X1,X2),X2) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8891_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18131,plain,
% 21.94/22.83      ( ~ c_in(X0,X1,X2) | c_in(X0,c_union(X3,X1,X2),X2) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1944]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18132,plain,
% 21.94/22.83      ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_18131]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1942,plain,
% 21.94/22.83      ( ~ c_in(X0,X1,X2) | c_in(X0,c_union(X1,X3,X2),X2) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8890_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18127,plain,
% 21.94/22.83      ( ~ c_in(X0,X1,X2) | c_in(X0,c_union(X1,X3,X2),X2) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1942]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18128,plain,
% 21.94/22.83      ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_18127]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1940,plain,
% 21.94/22.83      ( ~ c_List_Oop_Amem(X0,X1,X2)
% 21.94/22.83      | c_List_Oop_Amem(X0,c_List_Olist_OCons(X3,X1,X2),X2) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8889_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18123,plain,
% 21.94/22.83      ( ~ c_List_Oop_Amem(X0,X1,X2)
% 21.94/22.83      | c_List_Oop_Amem(X0,c_List_Olist_OCons(X3,X1,X2),X2) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1940]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18124,plain,
% 21.94/22.83      ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 21.94/22.83      | ~ c_List_Oop_Amem(X0,X2,X3) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_18123]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1938,plain,
% 21.94/22.83      ( c_in(X0,c_Inter(X1,X2),X2)
% 21.94/22.83      | c_in(c_Main_OInter__iff__1(X0,X1,X2),X1,tc_set(X2)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8888_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18119,plain,
% 21.94/22.83      ( c_in(X0,c_Inter(X1,X2),X2)
% 21.94/22.83      | c_in(c_Main_OInter__iff__1(X0,X1,X2),X1,tc_set(X2)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1938]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18120,plain,
% 21.94/22.83      ( c_in(c_Main_OInter__iff__1(X0,X1,X2),X1,tc_set(X2))
% 21.94/22.83      | c_in(X0,c_Inter(X1,X2),X2) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_18119]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1936,plain,
% 21.94/22.83      ( c_in(X0,c_Inter(X1,X2),X2)
% 21.94/22.83      | c_in(c_Main_OInterI__1(X0,X1,X2),X1,tc_set(X2)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8887_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18115,plain,
% 21.94/22.83      ( c_in(X0,c_Inter(X1,X2),X2)
% 21.94/22.83      | c_in(c_Main_OInterI__1(X0,X1,X2),X1,tc_set(X2)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1936]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18116,plain,
% 21.94/22.83      ( c_in(c_Main_OInterI__1(X0,X1,X2),X1,tc_set(X2))
% 21.94/22.83      | c_in(X0,c_Inter(X1,X2),X2) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_18115]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1930,plain,
% 21.94/22.83      ( ~ class_Orderings_Oorder(X0)
% 21.94/22.83      | c_minus(c_insert(X1,c_emptyset,X0),c_SetInterval_OlessThan(X1,X0),tc_set(X0)) = c_insert(X1,c_emptyset,X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8885_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18103,plain,
% 21.94/22.83      ( ~ class_Orderings_Oorder(X0)
% 21.94/22.83      | c_minus(c_insert(X1,c_emptyset,X0),c_SetInterval_OlessThan(X1,X0),tc_set(X0)) = c_insert(X1,c_emptyset,X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1930]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1928,plain,
% 21.94/22.83      ( ~ c_less(c_0,X0,tc_nat)
% 21.94/22.83      | c_less(c_minus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8884_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18099,plain,
% 21.94/22.83      ( ~ c_less(c_0,X0,tc_nat)
% 21.94/22.83      | c_less(c_minus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1928]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1925,plain,
% 21.94/22.83      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.94/22.83      | ~ c_lessequals(c_0,X1,X0)
% 21.94/22.83      | c_lessequals(c_0,c_plus(X1,X1,X0),X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8883_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18093,plain,
% 21.94/22.83      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.94/22.83      | ~ c_lessequals(c_0,X1,X0)
% 21.94/22.83      | c_lessequals(c_0,c_plus(X1,X1,X0),X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1925]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18094,plain,
% 21.94/22.83      ( c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 21.94/22.83      | ~ c_lessequals(c_0,X0,X1)
% 21.94/22.83      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_18093]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1922,plain,
% 21.94/22.83      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.94/22.83      | ~ c_lessequals(X1,c_0,X0)
% 21.94/22.83      | c_lessequals(c_plus(X1,X1,X0),c_0,X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8882_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18087,plain,
% 21.94/22.83      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 21.94/22.83      | ~ c_lessequals(X1,c_0,X0)
% 21.94/22.83      | c_lessequals(c_plus(X1,X1,X0),c_0,X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1922]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18088,plain,
% 21.94/22.83      ( c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 21.94/22.83      | ~ c_lessequals(X0,c_0,X1)
% 21.94/22.83      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_18087]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1918,plain,
% 21.94/22.83      ( ~ class_Power_Orecpower(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.83      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.94/22.83      | 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) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8881_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18079,plain,
% 21.94/22.83      ( ~ class_Power_Orecpower(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.83      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.94/22.83      | 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) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1918]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1916,plain,
% 21.94/22.83      ( ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2) | X0 = X1 ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8880_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18075,plain,
% 21.94/22.83      ( ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2) | X0 = X1 ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1916]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1913,plain,
% 21.94/22.83      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.94/22.83      | ~ c_less(X1,X2,X0)
% 21.94/22.83      | c_less(c_minus(X1,X2,X0),c_0,X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8879_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18069,plain,
% 21.94/22.83      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.94/22.83      | ~ c_less(X1,X2,X0)
% 21.94/22.83      | c_less(c_minus(X1,X2,X0),c_0,X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1913]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18070,plain,
% 21.94/22.83      ( c_less(c_minus(X0,X1,X2),c_0,X2)
% 21.94/22.83      | ~ c_less(X0,X1,X2)
% 21.94/22.83      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_18069]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1910,plain,
% 21.94/22.83      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.94/22.83      | ~ c_lessequals(X1,X2,X0)
% 21.94/22.83      | c_lessequals(c_minus(X1,X2,X0),c_0,X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8878_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18063,plain,
% 21.94/22.83      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.94/22.83      | ~ c_lessequals(X1,X2,X0)
% 21.94/22.83      | c_lessequals(c_minus(X1,X2,X0),c_0,X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1910]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18064,plain,
% 21.94/22.83      ( c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 21.94/22.83      | ~ c_lessequals(X0,X1,X2)
% 21.94/22.83      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_18063]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1908,plain,
% 21.94/22.83      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) != c_0
% 21.94/22.83      | c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8877_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18059,plain,
% 21.94/22.83      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) != c_0
% 21.94/22.83      | c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1908]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18060,plain,
% 21.94/22.83      ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.94/22.83      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) != c_0 ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_18059]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1906,plain,
% 21.94/22.83      ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.94/22.83      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_0 ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8876_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18055,plain,
% 21.94/22.83      ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.94/22.83      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_0 ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1906]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1904,plain,
% 21.94/22.83      ( 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
% 21.94/22.83      | c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8875_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18051,plain,
% 21.94/22.83      ( 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
% 21.94/22.83      | c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1904]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18052,plain,
% 21.94/22.83      ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.83      | 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 ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_18051]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1902,plain,
% 21.94/22.83      ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.83      | 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 ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8874_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18047,plain,
% 21.94/22.83      ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.83      | 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 ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1902]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1898,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.83      | ~ c_less(c_0,X1,X0)
% 21.94/22.83      | c_less(c_0,c_divide(c_1,X1,X0),X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8873_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18039,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.83      | ~ c_less(c_0,X1,X0)
% 21.94/22.83      | c_less(c_0,c_divide(c_1,X1,X0),X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1898]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18040,plain,
% 21.94/22.83      ( c_less(c_0,c_divide(c_1,X0,X1),X1)
% 21.94/22.83      | ~ c_less(c_0,X0,X1)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.94/22.83      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_18039]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1894,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.83      | ~ c_lessequals(c_0,X1,X0)
% 21.94/22.83      | c_lessequals(c_0,c_divide(c_1,X1,X0),X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8872_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18031,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.83      | ~ c_lessequals(c_0,X1,X0)
% 21.94/22.83      | c_lessequals(c_0,c_divide(c_1,X1,X0),X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1894]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18032,plain,
% 21.94/22.83      ( c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 21.94/22.83      | ~ c_lessequals(c_0,X0,X1)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.94/22.83      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_18031]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1890,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.83      | ~ c_less(X1,c_0,X0)
% 21.94/22.83      | c_less(c_divide(c_1,X1,X0),c_0,X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8871_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18023,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.83      | ~ c_less(X1,c_0,X0)
% 21.94/22.83      | c_less(c_divide(c_1,X1,X0),c_0,X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1890]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18024,plain,
% 21.94/22.83      ( c_less(c_divide(c_1,X0,X1),c_0,X1)
% 21.94/22.83      | ~ c_less(X0,c_0,X1)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.94/22.83      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_18023]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1886,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.83      | ~ c_lessequals(X1,c_0,X0)
% 21.94/22.83      | c_lessequals(c_divide(c_1,X1,X0),c_0,X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8870_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18015,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.83      | ~ c_lessequals(X1,c_0,X0)
% 21.94/22.83      | c_lessequals(c_divide(c_1,X1,X0),c_0,X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1886]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18016,plain,
% 21.94/22.83      ( c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 21.94/22.83      | ~ c_lessequals(X0,c_0,X1)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.94/22.83      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_18015]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1882,plain,
% 21.94/22.83      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.83      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0)
% 21.94/22.83      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8869_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18007,plain,
% 21.94/22.83      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.83      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0)
% 21.94/22.83      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1882]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_18008,plain,
% 21.94/22.83      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.94/22.83      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.94/22.83      | ~ class_Numeral_Onumber__ring(X1) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_18007]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1870,plain,
% 21.94/22.83      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.94/22.83      | ~ class_Orderings_Olinorder(X0)
% 21.94/22.83      | ~ c_less(X1,c_0,X0)
% 21.94/22.83      | c_less(c_plus(X1,X1,X0),c_0,X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8866_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17983,plain,
% 21.94/22.83      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 21.94/22.83      | ~ class_Orderings_Olinorder(X0)
% 21.94/22.83      | ~ c_less(X1,c_0,X0)
% 21.94/22.83      | c_less(c_plus(X1,X1,X0),c_0,X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1870]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17984,plain,
% 21.94/22.83      ( c_less(c_plus(X0,X0,X1),c_0,X1)
% 21.94/22.83      | ~ c_less(X0,c_0,X1)
% 21.94/22.83      | ~ class_Orderings_Olinorder(X1)
% 21.94/22.83      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17983]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1868,plain,
% 21.94/22.83      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 21.94/22.83      | 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) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8865_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17979,plain,
% 21.94/22.83      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 21.94/22.83      | 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) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1868]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1866,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.94/22.83      | c_in(c_inter(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8864_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17975,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.94/22.83      | c_in(c_inter(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1866]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17976,plain,
% 21.94/22.83      ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 21.94/22.83      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17975]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1864,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.94/22.83      | c_in(c_inter(X0,X2,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8863_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17971,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.94/22.83      | c_in(c_inter(X0,X2,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1864]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17972,plain,
% 21.94/22.83      ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 21.94/22.83      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17971]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1862,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.94/22.83      | c_in(c_insert(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8862_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17967,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.94/22.83      | c_in(c_insert(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1862]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17968,plain,
% 21.94/22.83      ( c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 21.94/22.83      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17967]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1857,plain,
% 21.94/22.83      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 21.94/22.83      | c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Oremdups(X1,X2) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8860_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17957,plain,
% 21.94/22.83      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 21.94/22.83      | c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Oremdups(X1,X2) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1857]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1854,plain,
% 21.94/22.83      ( ~ c_in(X0,X1,X2)
% 21.94/22.83      | ~ c_in(X1,X3,tc_set(X2))
% 21.94/22.83      | c_in(X0,c_Union(X3,X2),X2) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8859_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17951,plain,
% 21.94/22.83      ( ~ c_in(X0,X1,X2)
% 21.94/22.83      | ~ c_in(X1,X3,tc_set(X2))
% 21.94/22.83      | c_in(X0,c_Union(X3,X2),X2) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1854]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17952,plain,
% 21.94/22.83      ( c_in(X0,c_Union(X1,X2),X2)
% 21.94/22.83      | ~ c_in(X3,X1,tc_set(X2))
% 21.94/22.83      | ~ c_in(X0,X3,X2) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17951]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1852,plain,
% 21.94/22.83      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.83      | 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) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8858_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17947,plain,
% 21.94/22.83      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.83      | 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) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1852]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1848,plain,
% 21.94/22.83      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.83      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 21.94/22.83      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8857_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17939,plain,
% 21.94/22.83      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.83      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 21.94/22.83      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1848]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17940,plain,
% 21.94/22.83      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.94/22.83      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.94/22.83      | ~ class_Numeral_Onumber__ring(X1) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17939]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1821,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.94/22.83      | c_in(c_minus(X0,X2,tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8851_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17885,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.94/22.83      | c_in(c_minus(X0,X2,tc_set(X1)),c_Finite__Set_OFinites,tc_set(X1)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1821]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17886,plain,
% 21.94/22.83      ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 21.94/22.83      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17885]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1815,plain,
% 21.94/22.83      ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 21.94/22.83      | c_in(c_Main_Oin__listsI__1(X1,X0,X2),c_List_Oset(X0,X2),X2) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8849_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17873,plain,
% 21.94/22.83      ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 21.94/22.83      | c_in(c_Main_Oin__listsI__1(X1,X0,X2),c_List_Oset(X0,X2),X2) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1815]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17874,plain,
% 21.94/22.83      ( c_in(c_Main_Oin__listsI__1(X0,X1,X2),c_List_Oset(X1,X2),X2)
% 21.94/22.83      | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17873]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1789,plain,
% 21.94/22.83      ( ~ c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 21.94/22.83      | c_lessequals(X2,X0,tc_set(X1)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8843_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17821,plain,
% 21.94/22.83      ( ~ c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 21.94/22.83      | c_lessequals(X2,X0,tc_set(X1)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1789]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1786,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Ofield(X0)
% 21.94/22.83      | c_divide(c_times(X1,c_0,X0),c_times(X2,c_0,X0),X0) = c_0 ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8842_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17815,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Ofield(X0)
% 21.94/22.83      | c_divide(c_times(X1,c_0,X0),c_times(X2,c_0,X0),X0) = c_0 ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1786]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1783,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Ofield(X0)
% 21.94/22.83      | c_divide(c_times(c_0,X1,X0),c_times(c_0,X2,X0),X0) = c_0 ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8841_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17809,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Ofield(X0)
% 21.94/22.83      | c_divide(c_times(c_0,X1,X0),c_times(c_0,X2,X0),X0) = c_0 ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1783]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1781,plain,
% 21.94/22.83      ( X0 = c_0
% 21.94/22.83      | c_List_Otl(c_List_Oreplicate(X0,X1,X2),X2) = c_List_Oreplicate(c_minus(X0,c_1,tc_nat),X1,X2) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8840_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17805,plain,
% 21.94/22.83      ( X0 = c_0
% 21.94/22.83      | c_List_Otl(c_List_Oreplicate(X0,X1,X2),X2) = c_List_Oreplicate(c_minus(X0,c_1,tc_nat),X1,X2) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1781]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17806,plain,
% 21.94/22.83      ( c_List_Otl(c_List_Oreplicate(X0,X1,X2),X2) = c_List_Oreplicate(c_minus(X0,c_1,tc_nat),X1,X2)
% 21.94/22.83      | X0 = c_0 ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17805]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1771,plain,
% 21.94/22.83      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 21.94/22.83      | c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8837_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17785,plain,
% 21.94/22.83      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 21.94/22.83      | c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1771]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1769,plain,
% 21.94/22.83      ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.83      | 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 ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8836_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17781,plain,
% 21.94/22.83      ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.83      | 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 ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1769]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1767,plain,
% 21.94/22.83      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 21.94/22.83      | c_List_Olist_OCons(X0,c_List_Oremdups(X1,X2),X2) = c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8835_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17777,plain,
% 21.94/22.83      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 21.94/22.83      | c_List_Olist_OCons(X0,c_List_Oremdups(X1,X2),X2) = c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1767]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1765,plain,
% 21.94/22.83      ( ~ c_less(c_0,X0,tc_nat)
% 21.94/22.83      | c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8834_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17773,plain,
% 21.94/22.83      ( ~ c_less(c_0,X0,tc_nat)
% 21.94/22.83      | c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1765]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17774,plain,
% 21.94/22.83      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 21.94/22.83      | ~ c_less(c_0,X0,tc_nat) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17773]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1763,plain,
% 21.94/22.83      ( c_in(X0,X1,X2)
% 21.94/22.83      | c_minus(X1,c_insert(X0,X3,X2),tc_set(X2)) = c_minus(X1,X3,tc_set(X2)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8833_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17769,plain,
% 21.94/22.83      ( c_in(X0,X1,X2)
% 21.94/22.83      | c_minus(X1,c_insert(X0,X3,X2),tc_set(X2)) = c_minus(X1,X3,tc_set(X2)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1763]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1761,plain,
% 21.94/22.83      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.83      | 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)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8832_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17765,plain,
% 21.94/22.83      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.83      | 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)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1761]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1758,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 21.94/22.83      | c_in(c_Main_Ofinite__Union__1(X0,X1),X0,tc_set(X1))
% 21.94/22.83      | c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8831_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17759,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 21.94/22.83      | c_in(c_Main_Ofinite__Union__1(X0,X1),X0,tc_set(X1))
% 21.94/22.83      | c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1758]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17760,plain,
% 21.94/22.83      ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 21.94/22.83      | c_in(c_Main_Ofinite__Union__1(X0,X1),X0,tc_set(X1))
% 21.94/22.83      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17759]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1751,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Union(X1,X2),X2)
% 21.94/22.83      | c_in(X0,c_Main_OUnion__iff__1(X0,X1,X2),X2) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8829_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17745,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Union(X1,X2),X2)
% 21.94/22.83      | c_in(X0,c_Main_OUnion__iff__1(X0,X1,X2),X2) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1751]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1749,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Union(X1,X2),X2)
% 21.94/22.83      | c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8828_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17741,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Union(X1,X2),X2)
% 21.94/22.83      | c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1749]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1745,plain,
% 21.94/22.83      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.83      | 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)
% 21.94/22.83      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_1,X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8827_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17733,plain,
% 21.94/22.83      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.83      | 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)
% 21.94/22.83      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_1,X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1745]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17734,plain,
% 21.94/22.83      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 21.94/22.83      | 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)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.94/22.83      | ~ class_Numeral_Onumber__ring(X1) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17733]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1743,plain,
% 21.94/22.83      ( ~ c_in(c_0,X0,tc_nat)
% 21.94/22.83      | 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) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8826_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17729,plain,
% 21.94/22.83      ( ~ c_in(c_0,X0,tc_nat)
% 21.94/22.83      | 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) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1743]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1741,plain,
% 21.94/22.83      ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,X3,X1)
% 21.94/22.83      | X0 = c_append(c_List_Orev(X3,X1),c_List_Olist_OCons(X2,c_List_Olist_ONil,X1),X1) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8825_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17725,plain,
% 21.94/22.83      ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,X3,X1)
% 21.94/22.83      | X0 = c_append(c_List_Orev(X3,X1),c_List_Olist_OCons(X2,c_List_Olist_ONil,X1),X1) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1741]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1731,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Union(X1,X2),X2)
% 21.94/22.83      | c_in(c_Main_OUnion__iff__1(X0,X1,X2),X1,tc_set(X2)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8822_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17705,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Union(X1,X2),X2)
% 21.94/22.83      | c_in(c_Main_OUnion__iff__1(X0,X1,X2),X1,tc_set(X2)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1731]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17706,plain,
% 21.94/22.83      ( c_in(c_Main_OUnion__iff__1(X0,X1,X2),X1,tc_set(X2))
% 21.94/22.83      | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17705]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1729,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Union(X1,X2),X2)
% 21.94/22.83      | c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8821_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17701,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Union(X1,X2),X2)
% 21.94/22.83      | c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1729]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17702,plain,
% 21.94/22.83      ( c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2))
% 21.94/22.83      | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17701]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1727,plain,
% 21.94/22.83      ( ~ c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.83      | c_less(X0,X1,tc_IntDef_Oint) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8820_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17697,plain,
% 21.94/22.83      ( ~ c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.83      | c_less(X0,X1,tc_IntDef_Oint) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1727]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1725,plain,
% 21.94/22.83      ( ~ c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.83      | c_lessequals(X0,X1,tc_IntDef_Oint) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8819_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17693,plain,
% 21.94/22.83      ( ~ c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.83      | c_lessequals(X0,X1,tc_IntDef_Oint) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1725]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17694,plain,
% 21.94/22.83      ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 21.94/22.83      | ~ c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17693]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1723,plain,
% 21.94/22.83      ( ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) | c_less(c_0,X1,tc_nat) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8818_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17689,plain,
% 21.94/22.83      ( ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) | c_less(c_0,X1,tc_nat) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1723]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1721,plain,
% 21.94/22.83      ( ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) | c_less(c_0,X0,tc_nat) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8817_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17685,plain,
% 21.94/22.83      ( ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) | c_less(c_0,X0,tc_nat) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1721]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1719,plain,
% 21.94/22.83      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 21.94/22.83      | c_List_Olist__inter(c_List_Olist_OCons(X0,X3,X2),X1,X2) = c_List_Olist__inter(X3,X1,X2) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8816_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17681,plain,
% 21.94/22.83      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 21.94/22.83      | c_List_Olist__inter(c_List_Olist_OCons(X0,X3,X2),X1,X2) = c_List_Olist__inter(X3,X1,X2) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1719]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1717,plain,
% 21.94/22.83      ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2)
% 21.94/22.83      | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) = c_emptyset ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8815_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17677,plain,
% 21.94/22.83      ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2)
% 21.94/22.83      | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) = c_emptyset ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1717]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1715,plain,
% 21.94/22.83      ( ~ c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | c_less(X1,X0,tc_nat) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8814_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17673,plain,
% 21.94/22.83      ( ~ c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | c_less(X1,X0,tc_nat) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1715]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1708,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.94/22.83      | c_in(X2,X0,X1)
% 21.94/22.83      | c_Finite__Set_Ocard(c_insert(X2,X0,X1),X1) = c_Suc(c_Finite__Set_Ocard(X0,X1)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8812_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17659,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 21.94/22.83      | c_in(X2,X0,X1)
% 21.94/22.83      | c_Finite__Set_Ocard(c_insert(X2,X0,X1),X1) = c_Suc(c_Finite__Set_Ocard(X0,X1)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1708]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1706,plain,
% 21.94/22.83      ( ~ c_less(X0,X1,tc_nat)
% 21.94/22.83      | c_List_Onth(c_List_Otake(X1,X2,X3),X0,X3) = c_List_Onth(X2,X0,X3) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8811_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17655,plain,
% 21.94/22.83      ( ~ c_less(X0,X1,tc_nat)
% 21.94/22.83      | c_List_Onth(c_List_Otake(X1,X2,X3),X0,X3) = c_List_Onth(X2,X0,X3) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1706]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1690,plain,
% 21.94/22.83      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.83      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0)
% 21.94/22.83      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8806_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17623,plain,
% 21.94/22.83      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.83      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(c_Numeral_OPls)),X0),X0)
% 21.94/22.83      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1690]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17624,plain,
% 21.94/22.83      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.94/22.83      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.94/22.83      | ~ class_Numeral_Onumber__ring(X1) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17623]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1688,plain,
% 21.94/22.83      ( ~ c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 21.94/22.83      | c_lessequals(c_1,X1,tc_nat) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8805_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17619,plain,
% 21.94/22.83      ( ~ c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 21.94/22.83      | c_lessequals(c_1,X1,tc_nat) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1688]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17620,plain,
% 21.94/22.83      ( c_lessequals(c_1,X0,tc_nat)
% 21.94/22.83      | ~ c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17619]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1686,plain,
% 21.94/22.83      ( ~ c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 21.94/22.83      | c_lessequals(c_1,X0,tc_nat) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8804_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17615,plain,
% 21.94/22.83      ( ~ c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 21.94/22.83      | c_lessequals(c_1,X0,tc_nat) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1686]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17616,plain,
% 21.94/22.83      ( c_lessequals(c_1,X0,tc_nat)
% 21.94/22.83      | ~ c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17615]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1675,plain,
% 21.94/22.83      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.94/22.83      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.83      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8801_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17593,plain,
% 21.94/22.83      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.94/22.83      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.83      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1675]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17594,plain,
% 21.94/22.83      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.94/22.83      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.83      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17593]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1671,plain,
% 21.94/22.83      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.83      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 21.94/22.83      | c_less(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8800_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17585,plain,
% 21.94/22.83      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.83      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 21.94/22.83      | c_less(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1671]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17586,plain,
% 21.94/22.83      ( c_less(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 21.94/22.83      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.94/22.83      | ~ class_Numeral_Onumber__ring(X1) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17585]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1668,plain,
% 21.94/22.83      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.83      | c_Numeral_Onumber__of(X1,X0) != c_1
% 21.94/22.83      | 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) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8799_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17579,plain,
% 21.94/22.83      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.83      | c_Numeral_Onumber__of(X1,X0) != c_1
% 21.94/22.83      | 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) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1668]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17580,plain,
% 21.94/22.83      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.83      | 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)
% 21.94/22.83      | c_Numeral_Onumber__of(X1,X0) != c_1 ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17579]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1666,plain,
% 21.94/22.83      ( ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.83      | X0 = c_0 ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8798_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17575,plain,
% 21.94/22.83      ( ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.83      | X0 = c_0 ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1666]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1662,plain,
% 21.94/22.83      ( c_inter(c_insert(X0,X1,X2),X3,X2) != c_emptyset
% 21.94/22.83      | c_inter(X1,X3,X2) = c_emptyset ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8796_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17567,plain,
% 21.94/22.83      ( c_inter(c_insert(X0,X1,X2),X3,X2) != c_emptyset
% 21.94/22.83      | c_inter(X1,X3,X2) = c_emptyset ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1662]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1658,plain,
% 21.94/22.83      ( c_inter(X0,c_insert(X1,X2,X3),X3) != c_emptyset
% 21.94/22.83      | c_inter(X0,X2,X3) = c_emptyset ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8794_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17559,plain,
% 21.94/22.83      ( c_inter(X0,c_insert(X1,X2,X3),X3) != c_emptyset
% 21.94/22.83      | c_inter(X0,X2,X3) = c_emptyset ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1658]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1656,plain,
% 21.94/22.83      ( ~ c_in(X0,c_inter(X1,X2,X3),X3) | c_in(X0,X2,X3) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8793_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17555,plain,
% 21.94/22.83      ( ~ c_in(X0,c_inter(X1,X2,X3),X3) | c_in(X0,X2,X3) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1656]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1654,plain,
% 21.94/22.83      ( ~ c_in(X0,c_inter(X1,X2,X3),X3) | c_in(X0,X1,X3) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8792_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17551,plain,
% 21.94/22.83      ( ~ c_in(X0,c_inter(X1,X2,X3),X3) | c_in(X0,X1,X3) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1654]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1648,plain,
% 21.94/22.83      ( ~ c_in(X0,c_insert(X1,X2,X3),X3) | c_in(X0,X2,X3) | X0 = X1 ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8790_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17539,plain,
% 21.94/22.83      ( ~ c_in(X0,c_insert(X1,X2,X3),X3) | c_in(X0,X2,X3) | X0 = X1 ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1648]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1645,plain,
% 21.94/22.83      ( ~ c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 21.94/22.83      | c_List_Oop_Amem(X0,X2,X3)
% 21.94/22.83      | X1 = X0 ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8789_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17533,plain,
% 21.94/22.83      ( ~ c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 21.94/22.83      | c_List_Oop_Amem(X0,X2,X3)
% 21.94/22.83      | X1 = X0 ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1645]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1637,plain,
% 21.94/22.83      ( c_less(c_0,X0,tc_nat)
% 21.94/22.83      | c_lessequals(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8786_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17517,plain,
% 21.94/22.83      ( c_less(c_0,X0,tc_nat)
% 21.94/22.83      | c_lessequals(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1637]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17518,plain,
% 21.94/22.83      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 21.94/22.83      | c_less(c_0,X1,tc_nat) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17517]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1635,plain,
% 21.94/22.83      ( c_less(c_0,X0,tc_nat)
% 21.94/22.83      | c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8785_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17513,plain,
% 21.94/22.83      ( c_less(c_0,X0,tc_nat)
% 21.94/22.83      | c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1635]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17514,plain,
% 21.94/22.83      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 21.94/22.83      | c_less(c_0,X0,tc_nat) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17513]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1631,plain,
% 21.94/22.83      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.83      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 21.94/22.83      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8784_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17505,plain,
% 21.94/22.83      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.83      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 21.94/22.83      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1631]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17506,plain,
% 21.94/22.83      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.94/22.83      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 21.94/22.83      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.94/22.83      | ~ class_Numeral_Onumber__ring(X1) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17505]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1629,plain,
% 21.94/22.83      ( X0 = c_0
% 21.94/22.83      | 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) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8783_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17501,plain,
% 21.94/22.83      ( X0 = c_0
% 21.94/22.83      | 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) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1629]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17502,plain,
% 21.94/22.83      ( 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)
% 21.94/22.83      | X1 = c_0 ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17501]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1627,plain,
% 21.94/22.83      ( X0 = c_0
% 21.94/22.83      | 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) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8782_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17497,plain,
% 21.94/22.83      ( X0 = c_0
% 21.94/22.83      | 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) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1627]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17498,plain,
% 21.94/22.83      ( 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)
% 21.94/22.83      | X0 = c_0 ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17497]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1611,plain,
% 21.94/22.83      ( ~ c_in(X0,X1,X2)
% 21.94/22.83      | c_minus(c_insert(X0,X3,X2),X1,tc_set(X2)) = c_minus(X3,X1,tc_set(X2)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8777_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17465,plain,
% 21.94/22.83      ( ~ c_in(X0,X1,X2)
% 21.94/22.83      | c_minus(c_insert(X0,X3,X2),X1,tc_set(X2)) = c_minus(X3,X1,tc_set(X2)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1611]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1578,plain,
% 21.94/22.83      ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 21.94/22.83      | c_in(X0,X2,X3)
% 21.94/22.83      | ~ c_in(X0,X1,X3) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8768_2) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17399,plain,
% 21.94/22.83      ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 21.94/22.83      | c_in(X0,X2,X3)
% 21.94/22.83      | ~ c_in(X0,X1,X3) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1578]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1574,plain,
% 21.94/22.83      ( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
% 21.94/22.83      | c_lessequals(X0,X1,tc_set(X2)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8767_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17391,plain,
% 21.94/22.83      ( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
% 21.94/22.83      | c_lessequals(X0,X1,tc_set(X2)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1574]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1521,plain,
% 21.94/22.83      ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 21.94/22.83      | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8749_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17285,plain,
% 21.94/22.83      ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 21.94/22.83      | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1521]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17286,plain,
% 21.94/22.83      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 21.94/22.83      | ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17285]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1519,plain,
% 21.94/22.83      ( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2)) | c_in(X0,X3,X2) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8748_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17281,plain,
% 21.94/22.83      ( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2)) | c_in(X0,X3,X2) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1519]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17282,plain,
% 21.94/22.83      ( c_in(X0,X1,X2) | ~ c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2)) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17281]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1518,plain,
% 21.94/22.83      ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 21.94/22.83      | ~ c_less(c_0,X0,tc_nat)
% 21.94/22.83      | ~ c_less(c_0,X1,tc_nat) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8747_2) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17279,plain,
% 21.94/22.83      ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 21.94/22.83      | ~ c_less(c_0,X0,tc_nat)
% 21.94/22.83      | ~ c_less(c_0,X1,tc_nat) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1518]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1506,plain,
% 21.94/22.83      ( ~ c_less(c_0,X0,tc_nat)
% 21.94/22.83      | ~ c_less(c_0,X1,tc_nat)
% 21.94/22.83      | c_less(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8744_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17255,plain,
% 21.94/22.83      ( ~ c_less(c_0,X0,tc_nat)
% 21.94/22.83      | ~ c_less(c_0,X1,tc_nat)
% 21.94/22.83      | c_less(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1506]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1503,plain,
% 21.94/22.83      ( ~ c_less(c_0,X0,tc_nat)
% 21.94/22.83      | ~ c_less(c_1,X1,tc_nat)
% 21.94/22.83      | c_less(c_div(X0,X1,tc_nat),X0,tc_nat) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8743_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17249,plain,
% 21.94/22.83      ( ~ c_less(c_0,X0,tc_nat)
% 21.94/22.83      | ~ c_less(c_1,X1,tc_nat)
% 21.94/22.83      | c_less(c_div(X0,X1,tc_nat),X0,tc_nat) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1503]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1501,plain,
% 21.94/22.83      ( ~ c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 21.94/22.83      | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8742_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17245,plain,
% 21.94/22.83      ( ~ c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 21.94/22.83      | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1501]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1499,plain,
% 21.94/22.83      ( ~ c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 21.94/22.83      | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8741_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17241,plain,
% 21.94/22.83      ( ~ c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 21.94/22.83      | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1499]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1497,plain,
% 21.94/22.83      ( ~ c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 21.94/22.83      | c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8740_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17237,plain,
% 21.94/22.83      ( ~ c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 21.94/22.83      | c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1497]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1494,plain,
% 21.94/22.83      ( ~ c_lessequals(c_1,X0,tc_nat)
% 21.94/22.83      | ~ c_lessequals(c_1,X1,tc_nat)
% 21.94/22.83      | c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8739_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17231,plain,
% 21.94/22.83      ( ~ c_lessequals(c_1,X0,tc_nat)
% 21.94/22.83      | ~ c_lessequals(c_1,X1,tc_nat)
% 21.94/22.83      | c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1494]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1492,plain,
% 21.94/22.83      ( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
% 21.94/22.83      | c_lessequals(X1,X3,tc_set(X2)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8738_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17227,plain,
% 21.94/22.83      ( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
% 21.94/22.83      | c_lessequals(X1,X3,tc_set(X2)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1492]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1490,plain,
% 21.94/22.83      ( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 21.94/22.83      | c_lessequals(X1,X3,tc_set(X2)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8737_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17223,plain,
% 21.94/22.83      ( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 21.94/22.83      | c_lessequals(X1,X3,tc_set(X2)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1490]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1488,plain,
% 21.94/22.83      ( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 21.94/22.83      | c_lessequals(X0,X3,tc_set(X2)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8736_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17219,plain,
% 21.94/22.83      ( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 21.94/22.83      | c_lessequals(X0,X3,tc_set(X2)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1488]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1486,plain,
% 21.94/22.83      ( ~ c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 21.94/22.83      | c_lessequals(X0,X2,tc_set(X3)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8735_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17215,plain,
% 21.94/22.83      ( ~ c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 21.94/22.83      | c_lessequals(X0,X2,tc_set(X3)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1486]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1484,plain,
% 21.94/22.83      ( ~ c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 21.94/22.83      | c_lessequals(X0,X1,tc_set(X3)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8734_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17211,plain,
% 21.94/22.83      ( ~ c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 21.94/22.83      | c_lessequals(X0,X1,tc_set(X3)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1484]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1482,plain,
% 21.94/22.83      ( X0 = X1
% 21.94/22.83      | c_List_Oremove1(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X2,X3),X3) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8733_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17207,plain,
% 21.94/22.83      ( X0 = X1
% 21.94/22.83      | c_List_Oremove1(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X2,X3),X3) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1482]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17208,plain,
% 21.94/22.83      ( c_List_Oremove1(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X2,X3),X3)
% 21.94/22.83      | X0 = X1 ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17207]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1478,plain,
% 21.94/22.83      ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 21.94/22.83      | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 21.94/22.83      | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X0)
% 21.94/22.83      | X1 = X0 ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8732_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17199,plain,
% 21.94/22.83      ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 21.94/22.83      | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 21.94/22.83      | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X0)
% 21.94/22.83      | X1 = X0 ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1478]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1476,plain,
% 21.94/22.83      ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | c_in(X0,X1,X3) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8731_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17195,plain,
% 21.94/22.83      ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | c_in(X0,X1,X3) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1476]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1474,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Relation_Odiag(X1,X2),tc_prod(X2,X2))
% 21.94/22.83      | c_in(c_Main_OdiagE__1(X1,X0,X2),X1,X2) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8730_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17191,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Relation_Odiag(X1,X2),tc_prod(X2,X2))
% 21.94/22.83      | c_in(c_Main_OdiagE__1(X1,X0,X2),X1,X2) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1474]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17192,plain,
% 21.94/22.83      ( c_in(c_Main_OdiagE__1(X0,X1,X2),X0,X2)
% 21.94/22.83      | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17191]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1455,plain,
% 21.94/22.83      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.83      | ~ 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)
% 21.94/22.83      | c_Numeral_Onumber__of(X1,X0) = c_1 ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8725_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17153,plain,
% 21.94/22.83      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.83      | ~ 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)
% 21.94/22.83      | c_Numeral_Onumber__of(X1,X0) = c_1 ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1455]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1453,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.94/22.83      | c_times(c_divide(X1,X2,X0),X3,X0) = c_divide(c_times(X1,X3,X0),X2,X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8724_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17149,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.94/22.83      | c_times(c_divide(X1,X2,X0),X3,X0) = c_divide(c_times(X1,X3,X0),X2,X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1453]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1451,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.94/22.83      | c_times(X1,c_divide(X2,X3,X0),X0) = c_divide(c_times(X1,X2,X0),X3,X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8723_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17145,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Ofield(X0)
% 21.94/22.83      | c_times(X1,c_divide(X2,X3,X0),X0) = c_divide(c_times(X1,X2,X0),X3,X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1451]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1449,plain,
% 21.94/22.83      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 21.94/22.83      | c_in(c_List_Onth(X1,X0,X2),c_List_Oset(X1,X2),X2) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8722_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17141,plain,
% 21.94/22.83      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 21.94/22.83      | c_in(c_List_Onth(X1,X0,X2),c_List_Oset(X1,X2),X2) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1449]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17142,plain,
% 21.94/22.83      ( c_in(c_List_Onth(X0,X1,X2),c_List_Oset(X0,X2),X2)
% 21.94/22.83      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17141]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1446,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 21.94/22.83      | ~ c_in(c_Main_Ofinite__Union__1(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 21.94/22.83      | c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8721_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17135,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 21.94/22.83      | ~ c_in(c_Main_Ofinite__Union__1(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 21.94/22.83      | c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1446]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17136,plain,
% 21.94/22.83      ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 21.94/22.83      | ~ c_in(c_Main_Ofinite__Union__1(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 21.94/22.83      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17135]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1444,plain,
% 21.94/22.83      ( c_insert(X0,X1,X2) != c_insert(X3,c_emptyset,X2)
% 21.94/22.83      | c_lessequals(X1,c_insert(X3,c_emptyset,X2),tc_set(X2)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8720_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17131,plain,
% 21.94/22.83      ( c_insert(X0,X1,X2) != c_insert(X3,c_emptyset,X2)
% 21.94/22.83      | c_lessequals(X1,c_insert(X3,c_emptyset,X2),tc_set(X2)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1444]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17132,plain,
% 21.94/22.83      ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 21.94/22.83      | c_insert(X3,X0,X2) != c_insert(X1,c_emptyset,X2) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17131]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1442,plain,
% 21.94/22.83      ( c_insert(X0,c_emptyset,X1) != c_insert(X2,X3,X1)
% 21.94/22.83      | c_lessequals(X3,c_insert(X0,c_emptyset,X1),tc_set(X1)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8719_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17127,plain,
% 21.94/22.83      ( c_insert(X0,c_emptyset,X1) != c_insert(X2,X3,X1)
% 21.94/22.83      | c_lessequals(X3,c_insert(X0,c_emptyset,X1),tc_set(X1)) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1442]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17128,plain,
% 21.94/22.83      ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 21.94/22.83      | c_insert(X1,c_emptyset,X2) != c_insert(X3,X0,X2) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17127]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1440,plain,
% 21.94/22.83      ( ~ c_List_Odistinct(X0,X1)
% 21.94/22.83      | 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) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8718_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17123,plain,
% 21.94/22.83      ( ~ c_List_Odistinct(X0,X1)
% 21.94/22.83      | 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) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1440]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1438,plain,
% 21.94/22.83      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.83      | 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) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8717_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17119,plain,
% 21.94/22.83      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.83      | 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) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1438]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1436,plain,
% 21.94/22.83      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.83      | 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) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8716_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17115,plain,
% 21.94/22.83      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.83      | 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) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1436]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1435,plain,
% 21.94/22.83      ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) | ~ c_in(X0,X2,X3) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8715_2) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17113,plain,
% 21.94/22.83      ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) | ~ c_in(X0,X2,X3) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1435]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1427,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Main_OInter__iff__1(X0,X1,X2),X2)
% 21.94/22.83      | c_in(X0,c_Inter(X1,X2),X2) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8713_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17097,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Main_OInter__iff__1(X0,X1,X2),X2)
% 21.94/22.83      | c_in(X0,c_Inter(X1,X2),X2) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1427]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17098,plain,
% 21.94/22.83      ( c_in(X0,c_Inter(X1,X2),X2)
% 21.94/22.83      | ~ c_in(X0,c_Main_OInter__iff__1(X0,X1,X2),X2) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17097]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1425,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Main_OInterI__1(X0,X1,X2),X2)
% 21.94/22.83      | c_in(X0,c_Inter(X1,X2),X2) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8712_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17093,plain,
% 21.94/22.83      ( ~ c_in(X0,c_Main_OInterI__1(X0,X1,X2),X2)
% 21.94/22.83      | c_in(X0,c_Inter(X1,X2),X2) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1425]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17094,plain,
% 21.94/22.83      ( c_in(X0,c_Inter(X1,X2),X2)
% 21.94/22.83      | ~ c_in(X0,c_Main_OInterI__1(X0,X1,X2),X2) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17093]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1419,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.94/22.83      | c_in(c_times(X1,X2,X0),c_IntDef_ONats,X0)
% 21.94/22.83      | ~ c_in(X1,c_IntDef_ONats,X0)
% 21.94/22.83      | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8710_2) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17081,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.94/22.83      | c_in(c_times(X1,X2,X0),c_IntDef_ONats,X0)
% 21.94/22.83      | ~ c_in(X1,c_IntDef_ONats,X0)
% 21.94/22.83      | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1419]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17082,plain,
% 21.94/22.83      ( c_in(c_times(X0,X1,X2),c_IntDef_ONats,X2)
% 21.94/22.83      | ~ c_in(X0,c_IntDef_ONats,X2)
% 21.94/22.83      | ~ c_in(X1,c_IntDef_ONats,X2)
% 21.94/22.83      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17081]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1415,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.94/22.83      | c_in(c_plus(X1,X2,X0),c_IntDef_ONats,X0)
% 21.94/22.83      | ~ c_in(X1,c_IntDef_ONats,X0)
% 21.94/22.83      | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8709_2) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17073,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 21.94/22.83      | c_in(c_plus(X1,X2,X0),c_IntDef_ONats,X0)
% 21.94/22.83      | ~ c_in(X1,c_IntDef_ONats,X0)
% 21.94/22.83      | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1415]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17074,plain,
% 21.94/22.83      ( c_in(c_plus(X0,X1,X2),c_IntDef_ONats,X2)
% 21.94/22.83      | ~ c_in(X0,c_IntDef_ONats,X2)
% 21.94/22.83      | ~ c_in(X1,c_IntDef_ONats,X2)
% 21.94/22.83      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17073]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1411,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.94/22.83      | c_in(c_times(X1,X2,X0),c_IntDef_OInts,X0)
% 21.94/22.83      | ~ c_in(X1,c_IntDef_OInts,X0)
% 21.94/22.83      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8708_2) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17065,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.94/22.83      | c_in(c_times(X1,X2,X0),c_IntDef_OInts,X0)
% 21.94/22.83      | ~ c_in(X1,c_IntDef_OInts,X0)
% 21.94/22.83      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1411]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17066,plain,
% 21.94/22.83      ( c_in(c_times(X0,X1,X2),c_IntDef_OInts,X2)
% 21.94/22.83      | ~ c_in(X0,c_IntDef_OInts,X2)
% 21.94/22.83      | ~ c_in(X1,c_IntDef_OInts,X2)
% 21.94/22.83      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17065]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1407,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.94/22.83      | c_in(c_minus(X1,X2,X0),c_IntDef_OInts,X0)
% 21.94/22.83      | ~ c_in(X1,c_IntDef_OInts,X0)
% 21.94/22.83      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8707_2) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17057,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.94/22.83      | c_in(c_minus(X1,X2,X0),c_IntDef_OInts,X0)
% 21.94/22.83      | ~ c_in(X1,c_IntDef_OInts,X0)
% 21.94/22.83      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1407]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17058,plain,
% 21.94/22.83      ( c_in(c_minus(X0,X1,X2),c_IntDef_OInts,X2)
% 21.94/22.83      | ~ c_in(X0,c_IntDef_OInts,X2)
% 21.94/22.83      | ~ c_in(X1,c_IntDef_OInts,X2)
% 21.94/22.83      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17057]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1403,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.94/22.83      | c_in(c_plus(X1,X2,X0),c_IntDef_OInts,X0)
% 21.94/22.83      | ~ c_in(X1,c_IntDef_OInts,X0)
% 21.94/22.83      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8706_2) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17049,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 21.94/22.83      | c_in(c_plus(X1,X2,X0),c_IntDef_OInts,X0)
% 21.94/22.83      | ~ c_in(X1,c_IntDef_OInts,X0)
% 21.94/22.83      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1403]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17050,plain,
% 21.94/22.83      ( c_in(c_plus(X0,X1,X2),c_IntDef_OInts,X2)
% 21.94/22.83      | ~ c_in(X0,c_IntDef_OInts,X2)
% 21.94/22.83      | ~ c_in(X1,c_IntDef_OInts,X2)
% 21.94/22.83      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17049]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1398,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Ofield(X0)
% 21.94/22.83      | c_divide(c_times(X1,X2,X0),X3,X0) = c_divide(X1,c_divide(X3,X2,X0),X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8705_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17039,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Ofield(X0)
% 21.94/22.83      | c_divide(c_times(X1,X2,X0),X3,X0) = c_divide(X1,c_divide(X3,X2,X0),X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1398]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1395,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Ofield(X0)
% 21.94/22.83      | c_divide(c_divide(X1,X2,X0),X3,X0) = c_divide(X1,c_times(X2,X3,X0),X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8704_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17033,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Ofield(X0)
% 21.94/22.83      | c_divide(c_divide(X1,X2,X0),X3,X0) = c_divide(X1,c_times(X2,X3,X0),X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1395]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1393,plain,
% 21.94/22.83      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.94/22.83      | 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) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8703_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17029,plain,
% 21.94/22.83      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 21.94/22.83      | 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) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1393]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1389,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Ofield(X0)
% 21.94/22.83      | X1 = c_0
% 21.94/22.83      | c_divide(c_times(X2,X1,X0),c_times(X3,X1,X0),X0) = c_divide(X2,X3,X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8702_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17021,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Ofield(X0)
% 21.94/22.83      | X1 = c_0
% 21.94/22.83      | c_divide(c_times(X2,X1,X0),c_times(X3,X1,X0),X0) = c_divide(X2,X3,X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1389]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17022,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Ofield(X0)
% 21.94/22.83      | c_divide(c_times(X1,X2,X0),c_times(X3,X2,X0),X0) = c_divide(X1,X3,X0)
% 21.94/22.83      | X2 = c_0 ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17021]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1385,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Ofield(X0)
% 21.94/22.83      | X1 = c_0
% 21.94/22.83      | c_divide(c_times(X1,X2,X0),c_times(X1,X3,X0),X0) = c_divide(X2,X3,X0) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8701_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17013,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Ofield(X0)
% 21.94/22.83      | X1 = c_0
% 21.94/22.83      | c_divide(c_times(X1,X2,X0),c_times(X1,X3,X0),X0) = c_divide(X2,X3,X0) ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1385]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_17014,plain,
% 21.94/22.83      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.83      | ~ class_Ring__and__Field_Ofield(X0)
% 21.94/22.83      | c_divide(c_times(X1,X2,X0),c_times(X1,X3,X0),X0) = c_divide(X2,X3,X0)
% 21.94/22.83      | X1 = c_0 ),
% 21.94/22.83      inference(rewriting,[status(thm)],[c_17013]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1362,plain,
% 21.94/22.83      ( ~ c_in(X0,X1,X2) | c_inter(c_insert(X0,X3,X2),X1,X2) != c_emptyset ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8695_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_16967,plain,
% 21.94/22.83      ( ~ c_in(X0,X1,X2) | c_inter(c_insert(X0,X3,X2),X1,X2) != c_emptyset ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1362]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1358,plain,
% 21.94/22.83      ( ~ c_in(X0,X1,X2) | c_inter(X1,c_insert(X0,X3,X2),X2) != c_emptyset ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8693_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_16959,plain,
% 21.94/22.83      ( ~ c_in(X0,X1,X2) | c_inter(X1,c_insert(X0,X3,X2),X2) != c_emptyset ),
% 21.94/22.83      inference(copy,[status(esa)],[c_1358]) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_1356,plain,
% 21.94/22.83      ( ~ c_in(c_Main_Oin__listsI__1(X0,X1,X2),X0,X2)
% 21.94/22.83      | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 21.94/22.83      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8692_0) ).
% 21.94/22.83  
% 21.94/22.83  cnf(c_16955,plain,
% 21.94/22.83      ( ~ c_in(c_Main_Oin__listsI__1(X0,X1,X2),X0,X2)
% 21.94/22.84      | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1356]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1354,plain,
% 21.94/22.84      ( ~ class_Orderings_Oord(X0)
% 21.94/22.84      | c_in(X1,c_SetInterval_OgreaterThanLessThan(X2,X3,X0),X0)
% 21.94/22.84      | ~ c_less(X2,X1,X0)
% 21.94/22.84      | ~ c_less(X1,X3,X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8691_2) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16951,plain,
% 21.94/22.84      ( ~ class_Orderings_Oord(X0)
% 21.94/22.84      | c_in(X1,c_SetInterval_OgreaterThanLessThan(X2,X3,X0),X0)
% 21.94/22.84      | ~ c_less(X2,X1,X0)
% 21.94/22.84      | ~ c_less(X1,X3,X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1354]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16952,plain,
% 21.94/22.84      ( c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,X3),X3)
% 21.94/22.84      | ~ c_less(X1,X0,X3)
% 21.94/22.84      | ~ c_less(X0,X2,X3)
% 21.94/22.84      | ~ class_Orderings_Oord(X3) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16951]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1348,plain,
% 21.94/22.84      ( ~ class_Orderings_Oord(X0)
% 21.94/22.84      | ~ c_less(X1,X2,X0)
% 21.94/22.84      | ~ c_lessequals(X2,X3,X0)
% 21.94/22.84      | c_in(X2,c_SetInterval_OgreaterThanAtMost(X1,X3,X0),X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8690_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16939,plain,
% 21.94/22.84      ( ~ class_Orderings_Oord(X0)
% 21.94/22.84      | ~ c_less(X1,X2,X0)
% 21.94/22.84      | ~ c_lessequals(X2,X3,X0)
% 21.94/22.84      | c_in(X2,c_SetInterval_OgreaterThanAtMost(X1,X3,X0),X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1348]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16940,plain,
% 21.94/22.84      ( c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,X3),X3)
% 21.94/22.84      | ~ c_lessequals(X0,X2,X3)
% 21.94/22.84      | ~ c_less(X1,X0,X3)
% 21.94/22.84      | ~ class_Orderings_Oord(X3) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16939]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1344,plain,
% 21.94/22.84      ( ~ class_Orderings_Oord(X0)
% 21.94/22.84      | ~ c_less(X1,X2,X0)
% 21.94/22.84      | ~ c_lessequals(X3,X1,X0)
% 21.94/22.84      | c_in(X1,c_SetInterval_OatLeastLessThan(X3,X2,X0),X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8689_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16931,plain,
% 21.94/22.84      ( ~ class_Orderings_Oord(X0)
% 21.94/22.84      | ~ c_less(X1,X2,X0)
% 21.94/22.84      | ~ c_lessequals(X3,X1,X0)
% 21.94/22.84      | c_in(X1,c_SetInterval_OatLeastLessThan(X3,X2,X0),X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1344]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16932,plain,
% 21.94/22.84      ( c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,X3),X3)
% 21.94/22.84      | ~ c_lessequals(X1,X0,X3)
% 21.94/22.84      | ~ c_less(X0,X2,X3)
% 21.94/22.84      | ~ class_Orderings_Oord(X3) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16931]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1342,plain,
% 21.94/22.84      ( ~ class_Orderings_Oord(X0)
% 21.94/22.84      | c_in(X1,c_SetInterval_OatLeastAtMost(X2,X3,X0),X0)
% 21.94/22.84      | ~ c_lessequals(X2,X1,X0)
% 21.94/22.84      | ~ c_lessequals(X1,X3,X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8688_2) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16927,plain,
% 21.94/22.84      ( ~ class_Orderings_Oord(X0)
% 21.94/22.84      | c_in(X1,c_SetInterval_OatLeastAtMost(X2,X3,X0),X0)
% 21.94/22.84      | ~ c_lessequals(X2,X1,X0)
% 21.94/22.84      | ~ c_lessequals(X1,X3,X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1342]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16928,plain,
% 21.94/22.84      ( c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,X3),X3)
% 21.94/22.84      | ~ c_lessequals(X1,X0,X3)
% 21.94/22.84      | ~ c_lessequals(X0,X2,X3)
% 21.94/22.84      | ~ class_Orderings_Oord(X3) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16927]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1338,plain,
% 21.94/22.84      ( ~ class_Orderings_Olinorder(X0)
% 21.94/22.84      | c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 21.94/22.84      | ~ c_lessequals(X1,X3,X0)
% 21.94/22.84      | ~ c_lessequals(X2,X3,X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8687_2) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16919,plain,
% 21.94/22.84      ( ~ class_Orderings_Olinorder(X0)
% 21.94/22.84      | c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 21.94/22.84      | ~ c_lessequals(X1,X3,X0)
% 21.94/22.84      | ~ c_lessequals(X2,X3,X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1338]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16920,plain,
% 21.94/22.84      ( c_lessequals(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 21.94/22.84      | ~ c_lessequals(X0,X3,X2)
% 21.94/22.84      | ~ c_lessequals(X1,X3,X2)
% 21.94/22.84      | ~ class_Orderings_Olinorder(X2) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16919]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1334,plain,
% 21.94/22.84      ( ~ class_Orderings_Olinorder(X0)
% 21.94/22.84      | c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 21.94/22.84      | ~ c_lessequals(X1,X2,X0)
% 21.94/22.84      | ~ c_lessequals(X1,X3,X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8686_2) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16911,plain,
% 21.94/22.84      ( ~ class_Orderings_Olinorder(X0)
% 21.94/22.84      | c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 21.94/22.84      | ~ c_lessequals(X1,X2,X0)
% 21.94/22.84      | ~ c_lessequals(X1,X3,X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1334]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16912,plain,
% 21.94/22.84      ( c_lessequals(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 21.94/22.84      | ~ c_lessequals(X0,X1,X3)
% 21.94/22.84      | ~ c_lessequals(X0,X2,X3)
% 21.94/22.84      | ~ class_Orderings_Olinorder(X3) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16911]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1330,plain,
% 21.94/22.84      ( ~ class_Orderings_Olinorder(X0)
% 21.94/22.84      | c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 21.94/22.84      | ~ c_less(X1,X2,X0)
% 21.94/22.84      | ~ c_less(X1,X3,X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8685_2) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16903,plain,
% 21.94/22.84      ( ~ class_Orderings_Olinorder(X0)
% 21.94/22.84      | c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 21.94/22.84      | ~ c_less(X1,X2,X0)
% 21.94/22.84      | ~ c_less(X1,X3,X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1330]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16904,plain,
% 21.94/22.84      ( c_less(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 21.94/22.84      | ~ c_less(X0,X1,X3)
% 21.94/22.84      | ~ c_less(X0,X2,X3)
% 21.94/22.84      | ~ class_Orderings_Olinorder(X3) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16903]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1326,plain,
% 21.94/22.84      ( ~ class_Orderings_Olinorder(X0)
% 21.94/22.84      | c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 21.94/22.84      | ~ c_less(X1,X3,X0)
% 21.94/22.84      | ~ c_less(X2,X3,X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8684_2) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16895,plain,
% 21.94/22.84      ( ~ class_Orderings_Olinorder(X0)
% 21.94/22.84      | c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 21.94/22.84      | ~ c_less(X1,X3,X0)
% 21.94/22.84      | ~ c_less(X2,X3,X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1326]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16896,plain,
% 21.94/22.84      ( c_less(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 21.94/22.84      | ~ c_less(X0,X3,X2)
% 21.94/22.84      | ~ c_less(X1,X3,X2)
% 21.94/22.84      | ~ class_Orderings_Olinorder(X2) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16895]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1314,plain,
% 21.94/22.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(X1,X2,X0)
% 21.94/22.84      | ~ c_less(X2,c_0,X0)
% 21.94/22.84      | c_less(c_1,c_divide(X1,X2,X0),X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8682_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16871,plain,
% 21.94/22.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(X1,X2,X0)
% 21.94/22.84      | ~ c_less(X2,c_0,X0)
% 21.94/22.84      | c_less(c_1,c_divide(X1,X2,X0),X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1314]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16872,plain,
% 21.94/22.84      ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 21.94/22.84      | ~ c_less(X1,c_0,X2)
% 21.94/22.84      | ~ c_less(X0,X1,X2)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16871]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1309,plain,
% 21.94/22.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(c_0,X1,X0)
% 21.94/22.84      | ~ c_lessequals(X1,X2,X0)
% 21.94/22.84      | c_lessequals(c_1,c_divide(X2,X1,X0),X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8681_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16861,plain,
% 21.94/22.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(c_0,X1,X0)
% 21.94/22.84      | ~ c_lessequals(X1,X2,X0)
% 21.94/22.84      | c_lessequals(c_1,c_divide(X2,X1,X0),X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1309]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16862,plain,
% 21.94/22.84      ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 21.94/22.84      | ~ c_lessequals(X1,X0,X2)
% 21.94/22.84      | ~ c_less(c_0,X1,X2)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16861]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1304,plain,
% 21.94/22.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(X1,c_0,X0)
% 21.94/22.84      | ~ c_lessequals(X2,X1,X0)
% 21.94/22.84      | c_lessequals(c_1,c_divide(X2,X1,X0),X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8680_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16851,plain,
% 21.94/22.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(X1,c_0,X0)
% 21.94/22.84      | ~ c_lessequals(X2,X1,X0)
% 21.94/22.84      | c_lessequals(c_1,c_divide(X2,X1,X0),X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1304]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16852,plain,
% 21.94/22.84      ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 21.94/22.84      | ~ c_lessequals(X0,X1,X2)
% 21.94/22.84      | ~ c_less(X1,c_0,X2)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16851]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1294,plain,
% 21.94/22.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(X1,X2,X0)
% 21.94/22.84      | ~ c_less(X1,c_0,X0)
% 21.94/22.84      | c_less(c_divide(X2,X1,X0),c_1,X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8678_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16831,plain,
% 21.94/22.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(X1,X2,X0)
% 21.94/22.84      | ~ c_less(X1,c_0,X0)
% 21.94/22.84      | c_less(c_divide(X2,X1,X0),c_1,X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1294]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16832,plain,
% 21.94/22.84      ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 21.94/22.84      | ~ c_less(X1,c_0,X2)
% 21.94/22.84      | ~ c_less(X1,X0,X2)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16831]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1289,plain,
% 21.94/22.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(c_0,X1,X0)
% 21.94/22.84      | ~ c_lessequals(X2,X1,X0)
% 21.94/22.84      | c_lessequals(c_divide(X2,X1,X0),c_1,X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8677_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16821,plain,
% 21.94/22.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(c_0,X1,X0)
% 21.94/22.84      | ~ c_lessequals(X2,X1,X0)
% 21.94/22.84      | c_lessequals(c_divide(X2,X1,X0),c_1,X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1289]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16822,plain,
% 21.94/22.84      ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 21.94/22.84      | ~ c_lessequals(X0,X1,X2)
% 21.94/22.84      | ~ c_less(c_0,X1,X2)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16821]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1284,plain,
% 21.94/22.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(X1,c_0,X0)
% 21.94/22.84      | ~ c_lessequals(X1,X2,X0)
% 21.94/22.84      | c_lessequals(c_divide(X2,X1,X0),c_1,X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8676_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16811,plain,
% 21.94/22.84      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(X1,c_0,X0)
% 21.94/22.84      | ~ c_lessequals(X1,X2,X0)
% 21.94/22.84      | c_lessequals(c_divide(X2,X1,X0),c_1,X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1284]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16812,plain,
% 21.94/22.84      ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 21.94/22.84      | ~ c_lessequals(X1,X0,X2)
% 21.94/22.84      | ~ c_less(X1,c_0,X2)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16811]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1282,plain,
% 21.94/22.84      ( ~ c_less(X0,X1,tc_nat)
% 21.94/22.84      | c_less(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8675_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16807,plain,
% 21.94/22.84      ( ~ c_less(X0,X1,tc_nat)
% 21.94/22.84      | c_less(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1282]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16808,plain,
% 21.94/22.84      ( c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 21.94/22.84      | ~ c_less(X1,X2,tc_nat) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16807]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1280,plain,
% 21.94/22.84      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.84      | c_lessequals(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8674_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16803,plain,
% 21.94/22.84      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.84      | c_lessequals(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1280]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16804,plain,
% 21.94/22.84      ( c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 21.94/22.84      | ~ c_lessequals(X1,X2,tc_nat) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16803]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1278,plain,
% 21.94/22.84      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.84      | c_lessequals(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8673_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16799,plain,
% 21.94/22.84      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.84      | c_lessequals(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1278]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16800,plain,
% 21.94/22.84      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 21.94/22.84      | ~ c_lessequals(X0,X2,tc_nat) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16799]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1276,plain,
% 21.94/22.84      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.84      | c_lessequals(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8672_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16795,plain,
% 21.94/22.84      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.84      | c_lessequals(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1276]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16796,plain,
% 21.94/22.84      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 21.94/22.84      | ~ c_lessequals(X1,X2,tc_nat) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16795]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1254,plain,
% 21.94/22.84      ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 21.94/22.84      | c_less(c_0,X0,tc_nat)
% 21.94/22.84      | c_less(c_0,X1,tc_nat) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8667_1) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16751,plain,
% 21.94/22.84      ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 21.94/22.84      | c_less(c_0,X0,tc_nat)
% 21.94/22.84      | c_less(c_0,X1,tc_nat) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1254]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1253,plain,
% 21.94/22.84      ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 21.94/22.84      | c_less(c_0,X1,tc_nat)
% 21.94/22.84      | c_less(c_0,X0,tc_nat) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8667_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16749,plain,
% 21.94/22.84      ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 21.94/22.84      | c_less(c_0,X1,tc_nat)
% 21.94/22.84      | c_less(c_0,X0,tc_nat) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1253]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1250,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.94/22.84      | ~ class_Power_Orecpower(X0)
% 21.94/22.84      | 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) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8666_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16743,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.94/22.84      | ~ class_Power_Orecpower(X0)
% 21.94/22.84      | 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) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1250]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1247,plain,
% 21.94/22.84      ( ~ c_in(X0,X1,X2)
% 21.94/22.84      | ~ c_lessequals(X3,X1,tc_set(X2))
% 21.94/22.84      | c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2)) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8665_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16737,plain,
% 21.94/22.84      ( ~ c_in(X0,X1,X2)
% 21.94/22.84      | ~ c_lessequals(X3,X1,tc_set(X2))
% 21.94/22.84      | c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2)) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1247]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16738,plain,
% 21.94/22.84      ( ~ c_in(X0,X1,X2)
% 21.94/22.84      | c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2))
% 21.94/22.84      | ~ c_lessequals(X3,X1,tc_set(X2)) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16737]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1244,plain,
% 21.94/22.84      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.84      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.84      | c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8664_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16731,plain,
% 21.94/22.84      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.84      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.84      | c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1244]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16732,plain,
% 21.94/22.84      ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 21.94/22.84      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.84      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16731]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1237,plain,
% 21.94/22.84      ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 21.94/22.84      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 21.94/22.84      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8662_2) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16717,plain,
% 21.94/22.84      ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 21.94/22.84      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 21.94/22.84      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1237]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1229,plain,
% 21.94/22.84      ( ~ c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 21.94/22.84      | c_in(X0,X3,X2) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8660_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16701,plain,
% 21.94/22.84      ( ~ c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 21.94/22.84      | c_in(X0,X3,X2) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1229]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1228,plain,
% 21.94/22.84      ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 21.94/22.84      | ~ c_lessequals(X0,X3,tc_set(X2))
% 21.94/22.84      | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8659_2) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16699,plain,
% 21.94/22.84      ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 21.94/22.84      | ~ c_lessequals(X0,X3,tc_set(X2))
% 21.94/22.84      | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1228]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1225,plain,
% 21.94/22.84      ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 21.94/22.84      | ~ c_lessequals(X0,X1,tc_set(X3))
% 21.94/22.84      | ~ c_lessequals(X0,X2,tc_set(X3)) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8658_2) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16693,plain,
% 21.94/22.84      ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 21.94/22.84      | ~ c_lessequals(X0,X1,tc_set(X3))
% 21.94/22.84      | ~ c_lessequals(X0,X2,tc_set(X3)) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1225]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1221,plain,
% 21.94/22.84      ( ~ c_in(X0,X1,X2) | ~ c_in(X0,c_minus(X3,X1,tc_set(X2)),X2) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8657_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16685,plain,
% 21.94/22.84      ( ~ c_in(X0,X1,X2) | ~ c_in(X0,c_minus(X3,X1,tc_set(X2)),X2) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1221]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16686,plain,
% 21.94/22.84      ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | ~ c_in(X0,X2,X3) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16685]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1218,plain,
% 21.94/22.84      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.94/22.84      | ~ c_less(X1,X2,X0)
% 21.94/22.84      | c_less(c_plus(X1,X3,X0),c_plus(X2,X3,X0),X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8656_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16679,plain,
% 21.94/22.84      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.94/22.84      | ~ c_less(X1,X2,X0)
% 21.94/22.84      | c_less(c_plus(X1,X3,X0),c_plus(X2,X3,X0),X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1218]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16680,plain,
% 21.94/22.84      ( c_less(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 21.94/22.84      | ~ c_less(X0,X3,X2)
% 21.94/22.84      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16679]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1215,plain,
% 21.94/22.84      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.94/22.84      | ~ c_less(X1,X2,X0)
% 21.94/22.84      | c_less(c_plus(X3,X1,X0),c_plus(X3,X2,X0),X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8655_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16673,plain,
% 21.94/22.84      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.94/22.84      | ~ c_less(X1,X2,X0)
% 21.94/22.84      | c_less(c_plus(X3,X1,X0),c_plus(X3,X2,X0),X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1215]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16674,plain,
% 21.94/22.84      ( c_less(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 21.94/22.84      | ~ c_less(X1,X3,X2)
% 21.94/22.84      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16673]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1212,plain,
% 21.94/22.84      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.94/22.84      | ~ c_lessequals(X1,X2,X0)
% 21.94/22.84      | c_lessequals(c_plus(X1,X3,X0),c_plus(X2,X3,X0),X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8654_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16667,plain,
% 21.94/22.84      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.94/22.84      | ~ c_lessequals(X1,X2,X0)
% 21.94/22.84      | c_lessequals(c_plus(X1,X3,X0),c_plus(X2,X3,X0),X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1212]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16668,plain,
% 21.94/22.84      ( c_lessequals(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 21.94/22.84      | ~ c_lessequals(X0,X3,X2)
% 21.94/22.84      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16667]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1209,plain,
% 21.94/22.84      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.94/22.84      | ~ c_lessequals(X1,X2,X0)
% 21.94/22.84      | c_lessequals(c_plus(X3,X1,X0),c_plus(X3,X2,X0),X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8653_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16661,plain,
% 21.94/22.84      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 21.94/22.84      | ~ c_lessequals(X1,X2,X0)
% 21.94/22.84      | c_lessequals(c_plus(X3,X1,X0),c_plus(X3,X2,X0),X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1209]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16662,plain,
% 21.94/22.84      ( c_lessequals(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 21.94/22.84      | ~ c_lessequals(X1,X3,X2)
% 21.94/22.84      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16661]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1207,plain,
% 21.94/22.84      ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X1,X3) | c_in(X0,X2,X3) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8652_1) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16657,plain,
% 21.94/22.84      ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X1,X3) | c_in(X0,X2,X3) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1207]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1206,plain,
% 21.94/22.84      ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X2,X3) | c_in(X0,X1,X3) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8652_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16655,plain,
% 21.94/22.84      ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X2,X3) | c_in(X0,X1,X3) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1206]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1202,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.84      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 21.94/22.84      | ~ c_lessequals(c_Numeral_Onumber__of(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8651_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16647,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.84      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 21.94/22.84      | ~ c_lessequals(c_Numeral_Onumber__of(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1202]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16648,plain,
% 21.94/22.84      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 21.94/22.84      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.94/22.84      | ~ class_Numeral_Onumber__ring(X1) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16647]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1200,plain,
% 21.94/22.84      ( ~ c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 21.94/22.84      | c_insert(X1,X0,X2) = c_insert(X1,c_emptyset,X2) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8650_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16643,plain,
% 21.94/22.84      ( ~ c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 21.94/22.84      | c_insert(X1,X0,X2) = c_insert(X1,c_emptyset,X2) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1200]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1198,plain,
% 21.94/22.84      ( ~ c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 21.94/22.84      | c_insert(X1,c_emptyset,X2) = c_insert(X1,X0,X2) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8649_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16639,plain,
% 21.94/22.84      ( ~ c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 21.94/22.84      | c_insert(X1,c_emptyset,X2) = c_insert(X1,X0,X2) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1198]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1195,plain,
% 21.94/22.84      ( ~ class_Orderings_Olinorder(X0)
% 21.94/22.84      | ~ c_lessequals(X1,X2,X0)
% 21.94/22.84      | c_lessequals(c_SetInterval_OatLeastLessThan(X2,X1,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0)) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8648_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16633,plain,
% 21.94/22.84      ( ~ class_Orderings_Olinorder(X0)
% 21.94/22.84      | ~ c_lessequals(X1,X2,X0)
% 21.94/22.84      | c_lessequals(c_SetInterval_OatLeastLessThan(X2,X1,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0)) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1195]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16634,plain,
% 21.94/22.84      ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 21.94/22.84      | ~ c_lessequals(X1,X0,X2)
% 21.94/22.84      | ~ class_Orderings_Olinorder(X2) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16633]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1192,plain,
% 21.94/22.84      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(X1,X2,X0)
% 21.94/22.84      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 21.94/22.84      | ~ c_less(X2,c_0,X0)
% 21.94/22.84      | ~ c_less(X1,c_0,X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8647_2) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16627,plain,
% 21.94/22.84      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(X1,X2,X0)
% 21.94/22.84      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 21.94/22.84      | ~ c_less(X2,c_0,X0)
% 21.94/22.84      | ~ c_less(X1,c_0,X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1192]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16628,plain,
% 21.94/22.84      ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 21.94/22.84      | ~ c_less(X0,c_0,X1)
% 21.94/22.84      | ~ c_less(X2,c_0,X1)
% 21.94/22.84      | ~ c_less(X2,X0,X1)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16627]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1183,plain,
% 21.94/22.84      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | c_lessequals(c_HOL_Oinverse(X1,X0),c_HOL_Oinverse(X2,X0),X0)
% 21.94/22.84      | ~ c_lessequals(X2,X1,X0)
% 21.94/22.84      | ~ c_less(X1,c_0,X0)
% 21.94/22.84      | ~ c_less(X2,c_0,X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8645_3) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16609,plain,
% 21.94/22.84      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | c_lessequals(c_HOL_Oinverse(X1,X0),c_HOL_Oinverse(X2,X0),X0)
% 21.94/22.84      | ~ c_lessequals(X2,X1,X0)
% 21.94/22.84      | ~ c_less(X1,c_0,X0)
% 21.94/22.84      | ~ c_less(X2,c_0,X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1183]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16610,plain,
% 21.94/22.84      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 21.94/22.84      | ~ c_lessequals(X2,X0,X1)
% 21.94/22.84      | ~ c_less(X0,c_0,X1)
% 21.94/22.84      | ~ c_less(X2,c_0,X1)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16609]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1178,plain,
% 21.94/22.84      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | c_lessequals(c_HOL_Oinverse(X1,X0),c_HOL_Oinverse(X2,X0),X0)
% 21.94/22.84      | ~ c_lessequals(X2,X1,X0)
% 21.94/22.84      | ~ c_less(c_0,X1,X0)
% 21.94/22.84      | ~ c_less(c_0,X2,X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8644_3) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16599,plain,
% 21.94/22.84      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | c_lessequals(c_HOL_Oinverse(X1,X0),c_HOL_Oinverse(X2,X0),X0)
% 21.94/22.84      | ~ c_lessequals(X2,X1,X0)
% 21.94/22.84      | ~ c_less(c_0,X1,X0)
% 21.94/22.84      | ~ c_less(c_0,X2,X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1178]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16600,plain,
% 21.94/22.84      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 21.94/22.84      | ~ c_lessequals(X2,X0,X1)
% 21.94/22.84      | ~ c_less(c_0,X0,X1)
% 21.94/22.84      | ~ c_less(c_0,X2,X1)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16599]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1171,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.84      | 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)
% 21.94/22.84      | c_lessequals(c_1,c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8643_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16585,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.84      | 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)
% 21.94/22.84      | c_lessequals(c_1,c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1171]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16586,plain,
% 21.94/22.84      ( c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 21.94/22.84      | 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)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.94/22.84      | ~ class_Numeral_Onumber__ring(X1) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16585]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1168,plain,
% 21.94/22.84      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.84      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.84      | 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) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8642_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16579,plain,
% 21.94/22.84      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.84      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.84      | 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) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1168]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1142,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.84      | 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) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8637_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16527,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.84      | 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) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1142]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1140,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.84      | 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) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8636_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16523,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.84      | 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) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1140]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1138,plain,
% 21.94/22.84      ( ~ c_less(c_plus(X0,X1,tc_nat),X2,tc_nat)
% 21.94/22.84      | c_List_Onth(c_List_Oupt(X0,X2),X1,tc_nat) = c_plus(X0,X1,tc_nat) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8635_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16519,plain,
% 21.94/22.84      ( ~ c_less(c_plus(X0,X1,tc_nat),X2,tc_nat)
% 21.94/22.84      | c_List_Onth(c_List_Oupt(X0,X2),X1,tc_nat) = c_plus(X0,X1,tc_nat) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1138]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1135,plain,
% 21.94/22.84      ( ~ c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 21.94/22.84      | c_less(c_0,X0,tc_nat)
% 21.94/22.84      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8634_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16513,plain,
% 21.94/22.84      ( ~ c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 21.94/22.84      | c_less(c_0,X0,tc_nat)
% 21.94/22.84      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1135]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1133,plain,
% 21.94/22.84      ( 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
% 21.94/22.84      | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8633_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16509,plain,
% 21.94/22.84      ( 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
% 21.94/22.84      | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1133]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16510,plain,
% 21.94/22.84      ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.84      | 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 ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16509]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1127,plain,
% 21.94/22.84      ( ~ c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 21.94/22.84      | c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8631_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16497,plain,
% 21.94/22.84      ( ~ c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 21.94/22.84      | c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1127]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1125,plain,
% 21.94/22.84      ( ~ c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 21.94/22.84      | c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8630_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16493,plain,
% 21.94/22.84      ( ~ c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 21.94/22.84      | c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1125]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1123,plain,
% 21.94/22.84      ( ~ c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 21.94/22.84      | c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8629_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16489,plain,
% 21.94/22.84      ( ~ c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 21.94/22.84      | c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1123]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1121,plain,
% 21.94/22.84      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 21.94/22.84      | c_List_Olist__update(X0,X2,X3,X1) = X0 ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8628_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16485,plain,
% 21.94/22.84      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 21.94/22.84      | c_List_Olist__update(X0,X2,X3,X1) = X0 ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1121]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1114,plain,
% 21.94/22.84      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2)))
% 21.94/22.84      | c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1))) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8626_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16471,plain,
% 21.94/22.84      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2)))
% 21.94/22.84      | c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1))) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1114]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16472,plain,
% 21.94/22.84      ( c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 21.94/22.84      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16471]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1108,plain,
% 21.94/22.84      ( ~ c_less(c_0,X0,tc_nat)
% 21.94/22.84      | c_div(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) = c_div(X1,X2,tc_nat) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8624_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16459,plain,
% 21.94/22.84      ( ~ c_less(c_0,X0,tc_nat)
% 21.94/22.84      | c_div(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) = c_div(X1,X2,tc_nat) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1108]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1106,plain,
% 21.94/22.84      ( ~ c_less(c_0,X0,tc_nat)
% 21.94/22.84      | c_div(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) = c_div(X1,X2,tc_nat) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8623_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16455,plain,
% 21.94/22.84      ( ~ c_less(c_0,X0,tc_nat)
% 21.94/22.84      | c_div(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) = c_div(X1,X2,tc_nat) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1106]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1099,plain,
% 21.94/22.84      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.84      | c_minus(c_plus(X2,X0,tc_nat),X1,tc_nat) = c_minus(X2,c_minus(X1,X0,tc_nat),tc_nat) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8621_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16441,plain,
% 21.94/22.84      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.84      | c_minus(c_plus(X2,X0,tc_nat),X1,tc_nat) = c_minus(X2,c_minus(X1,X0,tc_nat),tc_nat) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1099]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1097,plain,
% 21.94/22.84      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.84      | c_plus(X2,c_minus(X1,X0,tc_nat),tc_nat) = c_minus(c_plus(X2,X1,tc_nat),X0,tc_nat) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8620_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16437,plain,
% 21.94/22.84      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.84      | c_plus(X2,c_minus(X1,X0,tc_nat),tc_nat) = c_minus(c_plus(X2,X1,tc_nat),X0,tc_nat) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1097]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1095,plain,
% 21.94/22.84      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.84      | c_plus(c_minus(X1,X0,tc_nat),X2,tc_nat) = c_minus(c_plus(X1,X2,tc_nat),X0,tc_nat) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8619_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16433,plain,
% 21.94/22.84      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.84      | c_plus(c_minus(X1,X0,tc_nat),X2,tc_nat) = c_minus(c_plus(X1,X2,tc_nat),X0,tc_nat) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1095]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1068,plain,
% 21.94/22.84      ( 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)
% 21.94/22.84      | c_Numeral_Onumber__of(X3,tc_nat) = c_0 ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8613_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16379,plain,
% 21.94/22.84      ( 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)
% 21.94/22.84      | c_Numeral_Onumber__of(X3,tc_nat) = c_0 ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1068]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16380,plain,
% 21.94/22.84      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 21.94/22.84      | 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) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16379]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1066,plain,
% 21.94/22.84      ( 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)
% 21.94/22.84      | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8612_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16375,plain,
% 21.94/22.84      ( 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)
% 21.94/22.84      | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1066]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16376,plain,
% 21.94/22.84      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 21.94/22.84      | 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) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16375]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1062,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.84      | ~ 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)
% 21.94/22.84      | c_less(c_1,c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8611_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16367,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.84      | ~ 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)
% 21.94/22.84      | c_less(c_1,c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1062]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16368,plain,
% 21.94/22.84      ( c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 21.94/22.84      | ~ 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)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.94/22.84      | ~ class_Numeral_Onumber__ring(X1) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16367]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1055,plain,
% 21.94/22.84      ( 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
% 21.94/22.84      | 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 ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8609_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16353,plain,
% 21.94/22.84      ( 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
% 21.94/22.84      | 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 ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1055]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1053,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.84      | 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) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8608_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16349,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.84      | 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) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1053]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1011,plain,
% 21.94/22.84      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.84      | 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) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8599_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16265,plain,
% 21.94/22.84      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.84      | 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) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1011]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_1004,plain,
% 21.94/22.84      ( ~ c_in(X0,X1,X2)
% 21.94/22.84      | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 21.94/22.84      | c_in(c_List_Olist_OCons(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8597_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16251,plain,
% 21.94/22.84      ( ~ c_in(X0,X1,X2)
% 21.94/22.84      | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 21.94/22.84      | c_in(c_List_Olist_OCons(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_1004]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16252,plain,
% 21.94/22.84      ( c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 21.94/22.84      | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 21.94/22.84      | ~ c_in(X0,X3,X2) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16251]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_999,plain,
% 21.94/22.84      ( ~ c_in(X0,c_Relation_OId,tc_prod(X1,X1))
% 21.94/22.84      | c_Pair(c_Main_OIdE__1(X0,X1),c_Main_OIdE__1(X0,X1),X1,X1) = X0 ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8595_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16241,plain,
% 21.94/22.84      ( ~ c_in(X0,c_Relation_OId,tc_prod(X1,X1))
% 21.94/22.84      | c_Pair(c_Main_OIdE__1(X0,X1),c_Main_OIdE__1(X0,X1),X1,X1) = X0 ),
% 21.94/22.84      inference(copy,[status(esa)],[c_999]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_996,plain,
% 21.94/22.84      ( ~ c_less(X0,X1,tc_nat)
% 21.94/22.84      | ~ c_less(c_0,X2,tc_nat)
% 21.94/22.84      | c_less(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8594_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16235,plain,
% 21.94/22.84      ( ~ c_less(X0,X1,tc_nat)
% 21.94/22.84      | ~ c_less(c_0,X2,tc_nat)
% 21.94/22.84      | c_less(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_996]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16236,plain,
% 21.94/22.84      ( c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 21.94/22.84      | ~ c_less(c_0,X1,tc_nat)
% 21.94/22.84      | ~ c_less(X0,X2,tc_nat) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16235]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_993,plain,
% 21.94/22.84      ( ~ c_less(X0,X1,tc_nat)
% 21.94/22.84      | ~ c_less(c_0,X2,tc_nat)
% 21.94/22.84      | c_less(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8593_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16229,plain,
% 21.94/22.84      ( ~ c_less(X0,X1,tc_nat)
% 21.94/22.84      | ~ c_less(c_0,X2,tc_nat)
% 21.94/22.84      | c_less(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_993]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16230,plain,
% 21.94/22.84      ( c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 21.94/22.84      | ~ c_less(c_0,X0,tc_nat)
% 21.94/22.84      | ~ c_less(X1,X2,tc_nat) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16229]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_907,plain,
% 21.94/22.84      ( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
% 21.94/22.84      | c_List_Otake(X1,c_List_Oupt(X0,X2),tc_nat) = c_List_Oupt(X0,c_plus(X0,X1,tc_nat)) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8577_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16057,plain,
% 21.94/22.84      ( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
% 21.94/22.84      | c_List_Otake(X1,c_List_Oupt(X0,X2),tc_nat) = c_List_Oupt(X0,c_plus(X0,X1,tc_nat)) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_907]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_903,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.84      | ~ 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)
% 21.94/22.84      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_1,X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8576_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16049,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.84      | ~ 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)
% 21.94/22.84      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_1,X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_903]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16050,plain,
% 21.94/22.84      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 21.94/22.84      | ~ 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)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.94/22.84      | ~ class_Numeral_Onumber__ring(X1) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16049]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_901,plain,
% 21.94/22.84      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 21.94/22.84      | 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) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8575_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16045,plain,
% 21.94/22.84      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 21.94/22.84      | 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) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_901]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_889,plain,
% 21.94/22.84      ( ~ c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 21.94/22.84      | c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8572_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16021,plain,
% 21.94/22.84      ( ~ c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 21.94/22.84      | c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_889]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_887,plain,
% 21.94/22.84      ( ~ class_Orderings_Olinorder(X0)
% 21.94/22.84      | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 21.94/22.84      | ~ c_lessequals(X3,X1,X0)
% 21.94/22.84      | ~ c_lessequals(X2,X4,X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8571_2) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16017,plain,
% 21.94/22.84      ( ~ class_Orderings_Olinorder(X0)
% 21.94/22.84      | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 21.94/22.84      | ~ c_lessequals(X3,X1,X0)
% 21.94/22.84      | ~ c_lessequals(X2,X4,X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_887]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16018,plain,
% 21.94/22.84      ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 21.94/22.84      | ~ c_lessequals(X3,X0,X2)
% 21.94/22.84      | ~ c_lessequals(X1,X4,X2)
% 21.94/22.84      | ~ class_Orderings_Olinorder(X2) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_16017]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_882,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.84      | ~ 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)
% 21.94/22.84      | c_Numeral_Onumber__of(X1,X0) = c_1 ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8570_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_16007,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.84      | ~ 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)
% 21.94/22.84      | c_Numeral_Onumber__of(X1,X0) = c_1 ),
% 21.94/22.84      inference(copy,[status(esa)],[c_882]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_856,plain,
% 21.94/22.84      ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 21.94/22.84      | c_less(c_0,X1,tc_nat) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8565_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15955,plain,
% 21.94/22.84      ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 21.94/22.84      | c_less(c_0,X1,tc_nat) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_856]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_854,plain,
% 21.94/22.84      ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 21.94/22.84      | c_less(c_0,X0,tc_nat) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8564_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15951,plain,
% 21.94/22.84      ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 21.94/22.84      | c_less(c_0,X0,tc_nat) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_854]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_852,plain,
% 21.94/22.84      ( ~ c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 21.94/22.84      | c_less(X1,X2,tc_nat) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8563_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15947,plain,
% 21.94/22.84      ( ~ c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 21.94/22.84      | c_less(X1,X2,tc_nat) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_852]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_850,plain,
% 21.94/22.84      ( ~ c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 21.94/22.84      | c_lessequals(X1,X2,tc_nat) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8562_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15943,plain,
% 21.94/22.84      ( ~ c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 21.94/22.84      | c_lessequals(X1,X2,tc_nat) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_850]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_848,plain,
% 21.94/22.84      ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 21.94/22.84      | c_less(X0,X2,tc_nat) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8561_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15939,plain,
% 21.94/22.84      ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 21.94/22.84      | c_less(X0,X2,tc_nat) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_848]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_846,plain,
% 21.94/22.84      ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 21.94/22.84      | c_less(X1,X2,tc_nat) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8560_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15935,plain,
% 21.94/22.84      ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 21.94/22.84      | c_less(X1,X2,tc_nat) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_846]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_845,plain,
% 21.94/22.84      ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 21.94/22.84      | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 21.94/22.84      | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8559_2) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15933,plain,
% 21.94/22.84      ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 21.94/22.84      | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 21.94/22.84      | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_845]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_767,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 21.94/22.84      | c_less(c_0,X2,X0)
% 21.94/22.84      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8545_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15777,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 21.94/22.84      | c_less(c_0,X2,X0)
% 21.94/22.84      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_767]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15778,plain,
% 21.94/22.84      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.94/22.84      | c_less(c_0,X2,X1)
% 21.94/22.84      | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.94/22.84      | ~ class_Numeral_Onumber(X1) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_15777]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_755,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 21.94/22.84      | c_lessequals(c_0,X2,X0)
% 21.94/22.84      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8543_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15753,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 21.94/22.84      | c_lessequals(c_0,X2,X0)
% 21.94/22.84      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_755]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15754,plain,
% 21.94/22.84      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.94/22.84      | c_lessequals(c_0,X2,X1)
% 21.94/22.84      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.94/22.84      | ~ class_Numeral_Onumber(X1) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_15753]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_752,plain,
% 21.94/22.84      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.84      | X1 = c_Numeral_Obit_OB0
% 21.94/22.84      | 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) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8542_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15747,plain,
% 21.94/22.84      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.84      | X1 = c_Numeral_Obit_OB0
% 21.94/22.84      | 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) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_752]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15748,plain,
% 21.94/22.84      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.94/22.84      | 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)
% 21.94/22.84      | X2 = c_Numeral_Obit_OB0 ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_15747]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_750,plain,
% 21.94/22.84      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 21.94/22.84      | c_List_Olist__update(X1,X0,c_List_Onth(X1,X0,X2),X2) = X1 ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8541_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15743,plain,
% 21.94/22.84      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 21.94/22.84      | c_List_Olist__update(X1,X0,c_List_Onth(X1,X0,X2),X2) = X1 ),
% 21.94/22.84      inference(copy,[status(esa)],[c_750]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_748,plain,
% 21.94/22.84      ( 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)
% 21.94/22.84      | X1 = X4 ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8540_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15739,plain,
% 21.94/22.84      ( 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)
% 21.94/22.84      | X1 = X4 ),
% 21.94/22.84      inference(copy,[status(esa)],[c_748]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_746,plain,
% 21.94/22.84      ( 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)
% 21.94/22.84      | X0 = X3 ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8539_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15735,plain,
% 21.94/22.84      ( 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)
% 21.94/22.84      | X0 = X3 ),
% 21.94/22.84      inference(copy,[status(esa)],[c_746]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_744,plain,
% 21.94/22.84      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.84      | 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) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8538_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15731,plain,
% 21.94/22.84      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.84      | 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) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_744]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_742,plain,
% 21.94/22.84      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.84      | 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) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8537_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15727,plain,
% 21.94/22.84      ( ~ c_lessequals(X0,X1,tc_nat)
% 21.94/22.84      | 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) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_742]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_736,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 21.94/22.84      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.94/22.84      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8536_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15715,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 21.94/22.84      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.94/22.84      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_736]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15716,plain,
% 21.94/22.84      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.94/22.84      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.94/22.84      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.94/22.84      | ~ class_Numeral_Onumber(X1) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_15715]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_730,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 21.94/22.84      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.94/22.84      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8535_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15703,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 21.94/22.84      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.94/22.84      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_730]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15704,plain,
% 21.94/22.84      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.94/22.84      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.94/22.84      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.94/22.84      | ~ class_Numeral_Onumber(X1) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_15703]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_724,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 21.94/22.84      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.94/22.84      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8534_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15691,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 21.94/22.84      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.94/22.84      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_724]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15692,plain,
% 21.94/22.84      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.94/22.84      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.94/22.84      | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.94/22.84      | ~ class_Numeral_Onumber(X1) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_15691]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_718,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 21.94/22.84      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.94/22.84      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8533_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15679,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 21.94/22.84      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.94/22.84      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_718]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15680,plain,
% 21.94/22.84      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.94/22.84      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.94/22.84      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.94/22.84      | ~ class_Numeral_Onumber(X1) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_15679]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_714,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.84      | ~ 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)
% 21.94/22.84      | c_less(c_Numeral_Onumber__of(X1,X0),c_1,X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8532_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15671,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.84      | ~ 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)
% 21.94/22.84      | c_less(c_Numeral_Onumber__of(X1,X0),c_1,X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_714]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15672,plain,
% 21.94/22.84      ( c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 21.94/22.84      | ~ 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)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.94/22.84      | ~ class_Numeral_Onumber__ring(X1) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_15671]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_712,plain,
% 21.94/22.84      ( ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X2,X3),X3),X3)
% 21.94/22.84      | c_in(X0,c_List_Oset(X1,X3),X3) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8531_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15667,plain,
% 21.94/22.84      ( ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X2,X3),X3),X3)
% 21.94/22.84      | c_in(X0,c_List_Oset(X1,X3),X3) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_712]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_710,plain,
% 21.94/22.84      ( ~ c_in(X0,c_List_Oset(c_List_Oremove1(X1,X2,X3),X3),X3)
% 21.94/22.84      | c_in(X0,c_List_Oset(X2,X3),X3) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8530_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15663,plain,
% 21.94/22.84      ( ~ c_in(X0,c_List_Oset(c_List_Oremove1(X1,X2,X3),X3),X3)
% 21.94/22.84      | c_in(X0,c_List_Oset(X2,X3),X3) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_710]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_611,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(c_0,X1,X0)
% 21.94/22.84      | 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) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8509_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15465,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(c_0,X1,X0)
% 21.94/22.84      | 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) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_611]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15466,plain,
% 21.94/22.84      ( 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)
% 21.94/22.84      | ~ c_less(c_0,X0,X1)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.94/22.84      | ~ class_Numeral_Onumber__ring(X1) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_15465]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_604,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.94/22.84      | c_less(X1,c_0,X0)
% 21.94/22.84      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 21.94/22.84      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8508_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15451,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.94/22.84      | c_less(X1,c_0,X0)
% 21.94/22.84      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 21.94/22.84      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_604]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15452,plain,
% 21.94/22.84      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.94/22.84      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.94/22.84      | c_less(X2,c_0,X1)
% 21.94/22.84      | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.94/22.84      | ~ class_Numeral_Onumber(X1) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_15451]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_590,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 21.94/22.84      | c_less(c_0,X3,X0)
% 21.94/22.84      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.94/22.84      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8506_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15423,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.94/22.84      | ~ c_less(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 21.94/22.84      | c_less(c_0,X3,X0)
% 21.94/22.84      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 21.94/22.84      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_590]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15424,plain,
% 21.94/22.84      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 21.94/22.84      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 21.94/22.84      | c_less(c_0,X2,X1)
% 21.94/22.84      | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__field(X1)
% 21.94/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 21.94/22.84      | ~ class_Numeral_Onumber(X1) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_15423]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_579,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.84      | ~ 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)
% 21.94/22.84      | ~ c_lessequals(c_1,c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8504_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15401,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber__ring(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 21.94/22.84      | ~ 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)
% 21.94/22.84      | ~ c_lessequals(c_1,c_Numeral_Onumber__of(X1,X0),X0) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_579]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15402,plain,
% 21.94/22.84      ( ~ c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 21.94/22.84      | ~ 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)
% 21.94/22.84      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 21.94/22.84      | ~ class_Numeral_Onumber__ring(X1) ),
% 21.94/22.84      inference(rewriting,[status(thm)],[c_15401]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_576,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Osemiring(X0)
% 21.94/22.84      | 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) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8503_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15395,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Osemiring(X0)
% 21.94/22.84      | 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) ),
% 21.94/22.84      inference(copy,[status(esa)],[c_576]) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_573,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oring(X0)
% 21.94/22.84      | 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) ),
% 21.94/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8502_0) ).
% 21.94/22.84  
% 21.94/22.84  cnf(c_15389,plain,
% 21.94/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.94/22.84      | ~ class_Ring__and__Field_Oring(X0)
% 21.94/22.84      | 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) ),
% 21.97/22.84      inference(copy,[status(esa)],[c_573]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_570,plain,
% 21.97/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.97/22.84      | ~ class_Ring__and__Field_Osemiring(X0)
% 21.97/22.84      | 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) ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8501_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15383,plain,
% 21.97/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.97/22.84      | ~ class_Ring__and__Field_Osemiring(X0)
% 21.97/22.84      | 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) ),
% 21.97/22.84      inference(copy,[status(esa)],[c_570]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_567,plain,
% 21.97/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.97/22.84      | ~ class_Ring__and__Field_Oring(X0)
% 21.97/22.84      | 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) ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8500_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15377,plain,
% 21.97/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.97/22.84      | ~ class_Ring__and__Field_Oring(X0)
% 21.97/22.84      | 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) ),
% 21.97/22.84      inference(copy,[status(esa)],[c_567]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_556,plain,
% 21.97/22.84      ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 21.97/22.84      | ~ c_Wellfounded__Recursion_Owf(X0,X2)
% 21.97/22.84      | ~ c_Wellfounded__Recursion_Owf(X1,X3) ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8497_2) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15355,plain,
% 21.97/22.84      ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 21.97/22.84      | ~ c_Wellfounded__Recursion_Owf(X0,X2)
% 21.97/22.84      | ~ c_Wellfounded__Recursion_Owf(X1,X3) ),
% 21.97/22.84      inference(copy,[status(esa)],[c_556]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_553,plain,
% 21.97/22.84      ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 21.97/22.84      | ~ c_Relation_Otrans(X0,X2)
% 21.97/22.84      | ~ c_Relation_Otrans(X1,X3) ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8496_2) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15349,plain,
% 21.97/22.84      ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 21.97/22.84      | ~ c_Relation_Otrans(X0,X2)
% 21.97/22.84      | ~ c_Relation_Otrans(X1,X3) ),
% 21.97/22.84      inference(copy,[status(esa)],[c_553]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_549,plain,
% 21.97/22.84      ( ~ c_less(c_0,X0,tc_nat)
% 21.97/22.84      | 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) ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8495_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15341,plain,
% 21.97/22.84      ( ~ c_less(c_0,X0,tc_nat)
% 21.97/22.84      | 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) ),
% 21.97/22.84      inference(copy,[status(esa)],[c_549]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_547,plain,
% 21.97/22.84      ( ~ c_less(c_0,X0,tc_nat)
% 21.97/22.84      | 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) ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8494_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15337,plain,
% 21.97/22.84      ( ~ c_less(c_0,X0,tc_nat)
% 21.97/22.84      | 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) ),
% 21.97/22.84      inference(copy,[status(esa)],[c_547]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_545,plain,
% 21.97/22.84      ( X0 = X1
% 21.97/22.84      | c_List_Onth(c_List_Olist__update(X2,X0,X3,X4),X1,X4) = c_List_Onth(X2,X1,X4) ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8493_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15333,plain,
% 21.97/22.84      ( X0 = X1
% 21.97/22.84      | c_List_Onth(c_List_Olist__update(X2,X0,X3,X4),X1,X4) = c_List_Onth(X2,X1,X4) ),
% 21.97/22.84      inference(copy,[status(esa)],[c_545]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15334,plain,
% 21.97/22.84      ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X4,X3) = c_List_Onth(X0,X4,X3)
% 21.97/22.84      | X1 = X4 ),
% 21.97/22.84      inference(rewriting,[status(thm)],[c_15333]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_543,plain,
% 21.97/22.84      ( ~ c_lessequals(c_plus(X0,X1,tc_nat),c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat)
% 21.97/22.84      | c_List_Onth(c_List_Odrop(X0,X2,X3),X1,X3) = c_List_Onth(X2,c_plus(X0,X1,tc_nat),X3) ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8492_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15329,plain,
% 21.97/22.84      ( ~ c_lessequals(c_plus(X0,X1,tc_nat),c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat)
% 21.97/22.84      | c_List_Onth(c_List_Odrop(X0,X2,X3),X1,X3) = c_List_Onth(X2,c_plus(X0,X1,tc_nat),X3) ),
% 21.97/22.84      inference(copy,[status(esa)],[c_543]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_541,plain,
% 21.97/22.84      ( ~ c_in(X0,c_Relation_Odiag(X1,X2),tc_prod(X2,X2))
% 21.97/22.84      | c_Pair(c_Main_OdiagE__1(X1,X0,X2),c_Main_OdiagE__1(X1,X0,X2),X2,X2) = X0 ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8491_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15325,plain,
% 21.97/22.84      ( ~ c_in(X0,c_Relation_Odiag(X1,X2),tc_prod(X2,X2))
% 21.97/22.84      | c_Pair(c_Main_OdiagE__1(X1,X0,X2),c_Main_OdiagE__1(X1,X0,X2),X2,X2) = X0 ),
% 21.97/22.84      inference(copy,[status(esa)],[c_541]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_539,plain,
% 21.97/22.84      ( 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
% 21.97/22.84      | 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 ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8490_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15321,plain,
% 21.97/22.84      ( 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
% 21.97/22.84      | 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 ),
% 21.97/22.84      inference(copy,[status(esa)],[c_539]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_537,plain,
% 21.97/22.84      ( ~ c_less(X0,X1,tc_nat)
% 21.97/22.84      | c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8489_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15317,plain,
% 21.97/22.84      ( ~ c_less(X0,X1,tc_nat)
% 21.97/22.84      | c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
% 21.97/22.84      inference(copy,[status(esa)],[c_537]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15318,plain,
% 21.97/22.84      ( c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
% 21.97/22.84      | ~ c_less(X0,X1,tc_nat) ),
% 21.97/22.84      inference(rewriting,[status(thm)],[c_15317]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_535,plain,
% 21.97/22.84      ( 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)
% 21.97/22.84      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8488_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15313,plain,
% 21.97/22.84      ( 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)
% 21.97/22.84      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 21.97/22.84      inference(copy,[status(esa)],[c_535]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_533,plain,
% 21.97/22.84      ( ~ c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 21.97/22.84      | c_in(c_minus(X0,c_insert(X3,X1,X2),tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2)) ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8487_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15309,plain,
% 21.97/22.84      ( ~ c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 21.97/22.84      | c_in(c_minus(X0,c_insert(X3,X1,X2),tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2)) ),
% 21.97/22.84      inference(copy,[status(esa)],[c_533]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15310,plain,
% 21.97/22.84      ( c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 21.97/22.84      | ~ c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 21.97/22.84      inference(rewriting,[status(thm)],[c_15309]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_531,plain,
% 21.97/22.84      ( ~ c_in(X0,X1,X2)
% 21.97/22.84      | c_in(c_Pair(X0,X0,X2,X2),c_Relation_Odiag(X1,X2),tc_prod(X2,X2)) ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8486_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15305,plain,
% 21.97/22.84      ( ~ c_in(X0,X1,X2)
% 21.97/22.84      | c_in(c_Pair(X0,X0,X2,X2),c_Relation_Odiag(X1,X2),tc_prod(X2,X2)) ),
% 21.97/22.84      inference(copy,[status(esa)],[c_531]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15306,plain,
% 21.97/22.84      ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_Odiag(X2,X1),tc_prod(X1,X1))
% 21.97/22.84      | ~ c_in(X0,X2,X1) ),
% 21.97/22.84      inference(rewriting,[status(thm)],[c_15305]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_529,plain,
% 21.97/22.84      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 21.97/22.84      | c_List_Onth(c_List_Olist__update(X1,X0,X3,X2),X0,X2) = X3 ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8485_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15301,plain,
% 21.97/22.84      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 21.97/22.84      | c_List_Onth(c_List_Olist__update(X1,X0,X3,X2),X0,X2) = X3 ),
% 21.97/22.84      inference(copy,[status(esa)],[c_529]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_517,plain,
% 21.97/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.97/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.97/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.97/22.84      | ~ c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.97/22.84      | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 21.97/22.84      | c_less(c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8483_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15277,plain,
% 21.97/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.97/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.97/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.97/22.84      | ~ c_less(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 21.97/22.84      | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 21.97/22.84      | c_less(c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X2,X0) ),
% 21.97/22.84      inference(copy,[status(esa)],[c_517]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15278,plain,
% 21.97/22.84      ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 21.97/22.84      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 21.97/22.84      | ~ c_less(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.97/22.84      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.97/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 21.97/22.84      | ~ class_Numeral_Onumber(X2) ),
% 21.97/22.84      inference(rewriting,[status(thm)],[c_15277]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_505,plain,
% 21.97/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.97/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.97/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.97/22.84      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.97/22.84      | ~ c_lessequals(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 21.97/22.84      | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0) ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8481_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15253,plain,
% 21.97/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.97/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.97/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.97/22.84      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.97/22.84      | ~ c_lessequals(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 21.97/22.84      | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0) ),
% 21.97/22.84      inference(copy,[status(esa)],[c_505]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15254,plain,
% 21.97/22.84      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 21.97/22.84      | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.97/22.84      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 21.97/22.84      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.97/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 21.97/22.84      | ~ class_Numeral_Onumber(X2) ),
% 21.97/22.84      inference(rewriting,[status(thm)],[c_15253]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_487,plain,
% 21.97/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.97/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.97/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.97/22.84      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.97/22.84      | ~ c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 21.97/22.84      | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0) ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8478_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15217,plain,
% 21.97/22.84      ( ~ class_Numeral_Onumber(X0)
% 21.97/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 21.97/22.84      | ~ class_Ring__and__Field_Oordered__field(X0)
% 21.97/22.84      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 21.97/22.84      | ~ c_lessequals(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 21.97/22.84      | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0) ),
% 21.97/22.84      inference(copy,[status(esa)],[c_487]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15218,plain,
% 21.97/22.84      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 21.97/22.84      | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 21.97/22.84      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 21.97/22.84      | ~ class_Ring__and__Field_Oordered__field(X2)
% 21.97/22.84      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 21.97/22.84      | ~ class_Numeral_Onumber(X2) ),
% 21.97/22.84      inference(rewriting,[status(thm)],[c_15217]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_423,plain,
% 21.97/22.84      ( ~ c_in(X0,X1,X2)
% 21.97/22.84      | c_in(c_Sum__Type_OInr(X0,X2,X3),c_Sum__Type_OPlus(X4,X1,X3,X2),tc_sum(X3,X2)) ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8468_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15089,plain,
% 21.97/22.84      ( ~ c_in(X0,X1,X2)
% 21.97/22.84      | c_in(c_Sum__Type_OInr(X0,X2,X3),c_Sum__Type_OPlus(X4,X1,X3,X2),tc_sum(X3,X2)) ),
% 21.97/22.84      inference(copy,[status(esa)],[c_423]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15090,plain,
% 21.97/22.84      ( c_in(c_Sum__Type_OInr(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X2,X1),tc_sum(X2,X1))
% 21.97/22.84      | ~ c_in(X0,X4,X1) ),
% 21.97/22.84      inference(rewriting,[status(thm)],[c_15089]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_421,plain,
% 21.97/22.84      ( ~ c_in(X0,X1,X2)
% 21.97/22.84      | c_in(c_Sum__Type_OInl(X0,X2,X3),c_Sum__Type_OPlus(X1,X4,X2,X3),tc_sum(X2,X3)) ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8467_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15085,plain,
% 21.97/22.84      ( ~ c_in(X0,X1,X2)
% 21.97/22.84      | c_in(c_Sum__Type_OInl(X0,X2,X3),c_Sum__Type_OPlus(X1,X4,X2,X3),tc_sum(X2,X3)) ),
% 21.97/22.84      inference(copy,[status(esa)],[c_421]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15086,plain,
% 21.97/22.84      ( c_in(c_Sum__Type_OInl(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X1,X2),tc_sum(X1,X2))
% 21.97/22.84      | ~ c_in(X0,X3,X1) ),
% 21.97/22.84      inference(rewriting,[status(thm)],[c_15085]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_419,plain,
% 21.97/22.84      ( 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
% 21.97/22.84      | 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) ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8466_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15081,plain,
% 21.97/22.84      ( 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
% 21.97/22.84      | 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) ),
% 21.97/22.84      inference(copy,[status(esa)],[c_419]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_15082,plain,
% 21.97/22.84      ( 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)
% 21.97/22.84      | 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 ),
% 21.97/22.84      inference(rewriting,[status(thm)],[c_15081]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_321,plain,
% 21.97/22.84      ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X1 = X5 ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8449_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_14885,plain,
% 21.97/22.84      ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X1 = X5 ),
% 21.97/22.84      inference(copy,[status(esa)],[c_321]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_319,plain,
% 21.97/22.84      ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X0 = X4 ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8448_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_14881,plain,
% 21.97/22.84      ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X0 = X4 ),
% 21.97/22.84      inference(copy,[status(esa)],[c_319]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_317,plain,
% 21.97/22.84      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3)
% 21.97/22.84      | X1 = X5 ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8447_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_14877,plain,
% 21.97/22.84      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3)
% 21.97/22.84      | X1 = X5 ),
% 21.97/22.84      inference(copy,[status(esa)],[c_317]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_315,plain,
% 21.97/22.84      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3)
% 21.97/22.84      | X0 = X4 ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8446_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_14873,plain,
% 21.97/22.84      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3)
% 21.97/22.84      | X0 = X4 ),
% 21.97/22.84      inference(copy,[status(esa)],[c_315]) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_313,plain,
% 21.97/22.84      ( ~ c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 21.97/22.84      | c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 21.97/22.84      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8445_0) ).
% 21.97/22.84  
% 21.97/22.84  cnf(c_14869,plain,
% 21.97/22.84      ( ~ c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 21.97/22.85      | c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_313]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_308,plain,
% 21.97/22.85      ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 21.97/22.85      | 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))) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8443_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14859,plain,
% 21.97/22.85      ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 21.97/22.85      | 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))) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_308]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14860,plain,
% 21.97/22.85      ( 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)))
% 21.97/22.85      | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14859]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_306,plain,
% 21.97/22.85      ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 21.97/22.85      | 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))) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8442_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14855,plain,
% 21.97/22.85      ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 21.97/22.85      | 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))) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_306]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14856,plain,
% 21.97/22.85      ( 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)))
% 21.97/22.85      | ~ c_in(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14855]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_304,plain,
% 21.97/22.85      ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)) | X0 = X1 ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8441_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14851,plain,
% 21.97/22.85      ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)) | X0 = X1 ),
% 21.97/22.85      inference(copy,[status(esa)],[c_304]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_302,plain,
% 21.97/22.85      ( ~ 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)
% 21.97/22.85      | 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 ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8440_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14847,plain,
% 21.97/22.85      ( ~ 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)
% 21.97/22.85      | 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 ),
% 21.97/22.85      inference(copy,[status(esa)],[c_302]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_300,plain,
% 21.97/22.85      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 21.97/22.85      | ~ c_in(c_Pair(X2,X2,X1,X1),X0,tc_prod(X1,X1)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8439_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14843,plain,
% 21.97/22.85      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 21.97/22.85      | ~ c_in(c_Pair(X2,X2,X1,X1),X0,tc_prod(X1,X1)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_300]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14844,plain,
% 21.97/22.85      ( ~ c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1))
% 21.97/22.85      | ~ c_Wellfounded__Recursion_Owf(X2,X1) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14843]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_298,plain,
% 21.97/22.85      ( ~ c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
% 21.97/22.85      | c_less(X0,X1,tc_nat) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8438_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14839,plain,
% 21.97/22.85      ( ~ c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
% 21.97/22.85      | c_less(X0,X1,tc_nat) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_298]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_264,plain,
% 21.97/22.85      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.97/22.85      | ~ c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.97/22.85      | 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) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8432_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14771,plain,
% 21.97/22.85      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.97/22.85      | ~ c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.97/22.85      | 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) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_264]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_262,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | X0 = c_List_Olist_ONil ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8431_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14767,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | X0 = c_List_Olist_ONil ),
% 21.97/22.85      inference(copy,[status(esa)],[c_262]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_260,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | X0 = c_List_Olist_ONil ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8430_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14763,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | X0 = c_List_Olist_ONil ),
% 21.97/22.85      inference(copy,[status(esa)],[c_260]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_230,plain,
% 21.97/22.85      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 21.97/22.85      | c_in(X1,c_Relation_ORange(X4,X2,X3),X3) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8425_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14703,plain,
% 21.97/22.85      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 21.97/22.85      | c_in(X1,c_Relation_ORange(X4,X2,X3),X3) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_230]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_228,plain,
% 21.97/22.85      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 21.97/22.85      | c_in(X0,c_Relation_ODomain(X4,X2,X3),X2) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8424_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14699,plain,
% 21.97/22.85      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 21.97/22.85      | c_in(X0,c_Relation_ODomain(X4,X2,X3),X2) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_228]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_223,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X0,X1),c_Main_Olexord__Nil__left__2(X0,X1),X1) = X0 ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8422_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14689,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X0,X1),c_Main_Olexord__Nil__left__2(X0,X1),X1) = X0 ),
% 21.97/22.85      inference(copy,[status(esa)],[c_223]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_221,plain,
% 21.97/22.85      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 21.97/22.85      | c_List_Olist__update(c_List_Olist__update(X1,X0,X3,X2),X0,X4,X2) = c_List_Olist__update(X1,X0,X4,X2) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8421_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14685,plain,
% 21.97/22.85      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 21.97/22.85      | c_List_Olist__update(c_List_Olist__update(X1,X0,X3,X2),X0,X4,X2) = c_List_Olist__update(X1,X0,X4,X2) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_221]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_220,plain,
% 21.97/22.85      ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 21.97/22.85      | ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 21.97/22.85      | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8420_2) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14683,plain,
% 21.97/22.85      ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 21.97/22.85      | ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 21.97/22.85      | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_220]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_216,plain,
% 21.97/22.85      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.97/22.85      | 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) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8419_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14675,plain,
% 21.97/22.85      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.97/22.85      | 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) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_216]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_214,plain,
% 21.97/22.85      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.97/22.85      | 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) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8418_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14671,plain,
% 21.97/22.85      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.97/22.85      | 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) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_214]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_211,plain,
% 21.97/22.85      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 21.97/22.85      | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat)
% 21.97/22.85      | 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)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8417_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14665,plain,
% 21.97/22.85      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 21.97/22.85      | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat)
% 21.97/22.85      | 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)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_211]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_208,plain,
% 21.97/22.85      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 21.97/22.85      | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X0,X2,X4) != c_Datatype_Ooption_ONone
% 21.97/22.85      | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8416_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14659,plain,
% 21.97/22.85      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 21.97/22.85      | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X0,X2,X4) != c_Datatype_Ooption_ONone
% 21.97/22.85      | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_208]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14660,plain,
% 21.97/22.85      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 21.97/22.85      | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4))
% 21.97/22.85      | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X0,X2,X4) != c_Datatype_Ooption_ONone ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14659]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_204,plain,
% 21.97/22.85      ( 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)))
% 21.97/22.85      | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 21.97/22.85      | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8414_2) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14651,plain,
% 21.97/22.85      ( 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)))
% 21.97/22.85      | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 21.97/22.85      | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_204]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_200,plain,
% 21.97/22.85      ( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 21.97/22.85      | c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8413_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14643,plain,
% 21.97/22.85      ( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 21.97/22.85      | c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_200]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14644,plain,
% 21.97/22.85      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
% 21.97/22.85      | ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14643]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_198,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
% 21.97/22.85      | c_Pair(c_Main_OconverseE__2(X1,X0,X2,X3),c_Main_OconverseE__1(X1,X0,X2,X3),X3,X2) = X0 ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8412_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14639,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
% 21.97/22.85      | c_Pair(c_Main_OconverseE__2(X1,X0,X2,X3),c_Main_OconverseE__1(X1,X0,X2,X3),X3,X2) = X0 ),
% 21.97/22.85      inference(copy,[status(esa)],[c_198]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_193,plain,
% 21.97/22.85      ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
% 21.97/22.85      | c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8410_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14629,plain,
% 21.97/22.85      ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
% 21.97/22.85      | c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_193]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14630,plain,
% 21.97/22.85      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 21.97/22.85      | ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2)) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14629]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_176,plain,
% 21.97/22.85      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 21.97/22.85      | c_in(c_Pair(X1,X0,X3,X2),c_Relation_Oconverse(X4,X2,X3),tc_prod(X3,X2)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8404_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14595,plain,
% 21.97/22.85      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 21.97/22.85      | c_in(c_Pair(X1,X0,X3,X2),c_Relation_Oconverse(X4,X2,X3),tc_prod(X3,X2)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_176]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14596,plain,
% 21.97/22.85      ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 21.97/22.85      | ~ c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14595]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_174,plain,
% 21.97/22.85      ( ~ c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 21.97/22.85      | c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8403_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14591,plain,
% 21.97/22.85      ( ~ c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 21.97/22.85      | c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_174]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_171,plain,
% 21.97/22.85      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 21.97/22.85      | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3))
% 21.97/22.85      | 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) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8402_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14585,plain,
% 21.97/22.85      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 21.97/22.85      | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3))
% 21.97/22.85      | 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) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_171]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_169,plain,
% 21.97/22.85      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 21.97/22.85      | c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8401_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14581,plain,
% 21.97/22.85      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 21.97/22.85      | c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_169]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_167,plain,
% 21.97/22.85      ( ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 21.97/22.85      | c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8400_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14577,plain,
% 21.97/22.85      ( ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 21.97/22.85      | c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_167]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_165,plain,
% 21.97/22.85      ( ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 21.97/22.85      | c_Divides_Oop_Advd(X0,X1,tc_nat) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8399_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14573,plain,
% 21.97/22.85      ( ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 21.97/22.85      | c_Divides_Oop_Advd(X0,X1,tc_nat) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_165]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_162,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | X0 = X3
% 21.97/22.85      | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X4,tc_List_Olist(X2)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8398_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14567,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | X0 = X3
% 21.97/22.85      | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X4,tc_List_Olist(X2)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_162]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14568,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X4,tc_List_Olist(X2))
% 21.97/22.85      | X0 = X3 ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14567]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_160,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,X4),X4)
% 21.97/22.85      | c_in(c_Pair(X2,X0,X3,X4),X1,tc_prod(X3,X4)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8397_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14563,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,X4),X4)
% 21.97/22.85      | c_in(c_Pair(X2,X0,X3,X4),X1,tc_prod(X3,X4)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_160]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14564,plain,
% 21.97/22.85      ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 21.97/22.85      | ~ c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14563]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_157,plain,
% 21.97/22.85      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 21.97/22.85      | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1)
% 21.97/22.85      | c_in(c_Pair(X3,X2,X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8396_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14557,plain,
% 21.97/22.85      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 21.97/22.85      | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1)
% 21.97/22.85      | c_in(c_Pair(X3,X2,X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_157]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14558,plain,
% 21.97/22.85      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 21.97/22.85      | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 21.97/22.85      | ~ c_Wellfounded__Recursion_Owf(X3,X2) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14557]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_154,plain,
% 21.97/22.85      ( ~ c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 21.97/22.85      | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1)
% 21.97/22.85      | c_in(c_Pair(X3,X2,X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8395_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14551,plain,
% 21.97/22.85      ( ~ c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 21.97/22.85      | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1)
% 21.97/22.85      | c_in(c_Pair(X3,X2,X1,X1),c_Transitive__Closure_Ortrancl(X0,X1),tc_prod(X1,X1)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_154]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14552,plain,
% 21.97/22.85      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 21.97/22.85      | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 21.97/22.85      | ~ c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14551]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_152,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Relation_ORange(X1,X2,X3),X3)
% 21.97/22.85      | c_in(c_Pair(c_Main_ORangeE__1(X0,X1,X3,X2),X0,X2,X3),X1,tc_prod(X2,X3)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8394_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14547,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Relation_ORange(X1,X2,X3),X3)
% 21.97/22.85      | c_in(c_Pair(c_Main_ORangeE__1(X0,X1,X3,X2),X0,X2,X3),X1,tc_prod(X2,X3)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_152]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14548,plain,
% 21.97/22.85      ( c_in(c_Pair(c_Main_ORangeE__1(X0,X1,X2,X3),X0,X3,X2),X1,tc_prod(X3,X2))
% 21.97/22.85      | ~ c_in(X0,c_Relation_ORange(X1,X3,X2),X2) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14547]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_150,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2)
% 21.97/22.85      | c_in(c_Pair(X0,c_Main_ODomainE__1(X0,X1,X2,X3),X2,X3),X1,tc_prod(X2,X3)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8393_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14543,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2)
% 21.97/22.85      | c_in(c_Pair(X0,c_Main_ODomainE__1(X0,X1,X2,X3),X2,X3),X1,tc_prod(X2,X3)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_150]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14544,plain,
% 21.97/22.85      ( c_in(c_Pair(X0,c_Main_ODomainE__1(X0,X1,X2,X3),X2,X3),X1,tc_prod(X2,X3))
% 21.97/22.85      | ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14543]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_148,plain,
% 21.97/22.85      ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 21.97/22.85      | c_Wellfounded__Recursion_Owf(X3,X2) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8392_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14539,plain,
% 21.97/22.85      ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 21.97/22.85      | c_Wellfounded__Recursion_Owf(X3,X2) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_148]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_146,plain,
% 21.97/22.85      ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 21.97/22.85      | c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8391_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14535,plain,
% 21.97/22.85      ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 21.97/22.85      | c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_146]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_144,plain,
% 21.97/22.85      ( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 21.97/22.85      | 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))) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8390_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14531,plain,
% 21.97/22.85      ( ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 21.97/22.85      | 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))) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_144]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14532,plain,
% 21.97/22.85      ( 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)))
% 21.97/22.85      | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14531]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_141,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 21.97/22.85      | c_in(c_Main_OPlusE__1(X1,X0,X3,X4),X1,X3)
% 21.97/22.85      | c_in(c_Main_OPlusE__2(X2,X0,X4,X3),X2,X4) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8389_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14525,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 21.97/22.85      | c_in(c_Main_OPlusE__1(X1,X0,X3,X4),X1,X3)
% 21.97/22.85      | c_in(c_Main_OPlusE__2(X2,X0,X4,X3),X2,X4) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_141]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14526,plain,
% 21.97/22.85      ( c_in(c_Main_OPlusE__2(X0,X1,X2,X3),X0,X2)
% 21.97/22.85      | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 21.97/22.85      | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14525]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_132,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 21.97/22.85      | c_Sum__Type_OInl(c_Main_OPlusE__1(X1,X0,X3,X4),X3,X4) = X0
% 21.97/22.85      | c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X0,X4,X3),X4,X3) = X0 ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8386_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14507,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 21.97/22.85      | c_Sum__Type_OInl(c_Main_OPlusE__1(X1,X0,X3,X4),X3,X4) = X0
% 21.97/22.85      | c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X0,X4,X3),X4,X3) = X0 ),
% 21.97/22.85      inference(copy,[status(esa)],[c_132]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14508,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 21.97/22.85      | c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X0,X4,X3),X4,X3) = X0
% 21.97/22.85      | c_Sum__Type_OInl(c_Main_OPlusE__1(X1,X0,X3,X4),X3,X4) = X0 ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14507]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_130,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | 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)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8385_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14503,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | 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)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_130]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_124,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Datatype__Universe_Ousum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 21.97/22.85      | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X1,X0,X3,X4),X3,X4) = X0
% 21.97/22.85      | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X0,X3,X4),X3,X4) = X0 ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8383_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14491,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Datatype__Universe_Ousum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 21.97/22.85      | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X1,X0,X3,X4),X3,X4) = X0
% 21.97/22.85      | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X0,X3,X4),X3,X4) = X0 ),
% 21.97/22.85      inference(copy,[status(esa)],[c_124]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_122,plain,
% 21.97/22.85      ( 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))
% 21.97/22.85      | 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))) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8382_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14487,plain,
% 21.97/22.85      ( 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))
% 21.97/22.85      | 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))) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_122]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14488,plain,
% 21.97/22.85      ( 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)))
% 21.97/22.85      | 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)) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14487]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_120,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | 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))) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8381_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14483,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | 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))) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_120]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14484,plain,
% 21.97/22.85      ( 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)))
% 21.97/22.85      | ~ 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))) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14483]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_118,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | 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))) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8380_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14479,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | 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))) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_118]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14480,plain,
% 21.97/22.85      ( 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)))
% 21.97/22.85      | ~ 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))) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14479]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_109,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Datatype__Universe_Ousum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 21.97/22.85      | c_in(c_Main_OusumE__1(X1,X0,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 21.97/22.85      | c_in(c_Main_OusumE__2(X2,X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8377_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14461,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Datatype__Universe_Ousum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 21.97/22.85      | c_in(c_Main_OusumE__1(X1,X0,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 21.97/22.85      | c_in(c_Main_OusumE__2(X2,X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_109]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14462,plain,
% 21.97/22.85      ( c_in(c_Main_OusumE__2(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 21.97/22.85      | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 21.97/22.85      | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14461]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_106,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 21.97/22.85      | X0 = X3 ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8376_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14455,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 21.97/22.85      | X0 = X3 ),
% 21.97/22.85      inference(copy,[status(esa)],[c_106]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_103,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 21.97/22.85      | X0 = X3 ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8375_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14449,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 21.97/22.85      | X0 = X3 ),
% 21.97/22.85      inference(copy,[status(esa)],[c_103]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_100,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | 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)))
% 21.97/22.85      | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X4,tc_List_Olist(X2)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8374_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14443,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | 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)))
% 21.97/22.85      | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X4,tc_List_Olist(X2)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_100]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_98,plain,
% 21.97/22.85      ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 21.97/22.85      | ~ c_in(c_Pair(X1,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8373_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14439,plain,
% 21.97/22.85      ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 21.97/22.85      | ~ c_in(c_Pair(X1,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_98]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14440,plain,
% 21.97/22.85      ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 21.97/22.85      | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14439]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_96,plain,
% 21.97/22.85      ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 21.97/22.85      | ~ c_in(c_Pair(X1,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8372_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14435,plain,
% 21.97/22.85      ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 21.97/22.85      | ~ c_in(c_Pair(X1,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_96]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14436,plain,
% 21.97/22.85      ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 21.97/22.85      | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14435]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_94,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
% 21.97/22.85      | 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)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8371_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14431,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
% 21.97/22.85      | 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)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_94]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14432,plain,
% 21.97/22.85      ( 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))
% 21.97/22.85      | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14431]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_92,plain,
% 21.97/22.85      ( c_plus(X0,X1,tc_nat) != c_plus(X2,X3,tc_nat)
% 21.97/22.85      | 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))) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8370_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14427,plain,
% 21.97/22.85      ( c_plus(X0,X1,tc_nat) != c_plus(X2,X3,tc_nat)
% 21.97/22.85      | 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))) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_92]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14428,plain,
% 21.97/22.85      ( 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)))
% 21.97/22.85      | c_plus(X0,X3,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14427]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_89,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 21.97/22.85      | 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))) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8369_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14421,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 21.97/22.85      | 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))) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_89]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14422,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | 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)))
% 21.97/22.85      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14421]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_86,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 21.97/22.85      | 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))) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8368_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14415,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 21.97/22.85      | 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))) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_86]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14416,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | 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)))
% 21.97/22.85      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14415]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_84,plain,
% 21.97/22.85      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.97/22.85      | 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) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8367_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14411,plain,
% 21.97/22.85      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.97/22.85      | 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) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_84]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_82,plain,
% 21.97/22.85      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.97/22.85      | 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) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8366_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14407,plain,
% 21.97/22.85      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 21.97/22.85      | 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) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_82]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_80,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
% 21.97/22.85      | c_in(c_Main_OImageE__1(X2,X0,X1,X3,X4),X2,X3) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8365_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14403,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
% 21.97/22.85      | c_in(c_Main_OImageE__1(X2,X0,X1,X3,X4),X2,X3) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_80]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14404,plain,
% 21.97/22.85      ( c_in(c_Main_OImageE__1(X0,X1,X2,X3,X4),X0,X3)
% 21.97/22.85      | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14403]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_66,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 21.97/22.85      | c_in(c_Main_OuprodE__1(X1,X2,X0,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8360_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14375,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 21.97/22.85      | c_in(c_Main_OuprodE__1(X1,X2,X0,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_66]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14376,plain,
% 21.97/22.85      ( c_in(c_Main_OuprodE__1(X0,X1,X2,X3,X4),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 21.97/22.85      | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14375]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_64,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 21.97/22.85      | c_in(c_Main_OuprodE__2(X1,X2,X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8359_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14371,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 21.97/22.85      | c_in(c_Main_OuprodE__2(X1,X2,X0,X3,X4),X2,tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_64]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14372,plain,
% 21.97/22.85      ( c_in(c_Main_OuprodE__2(X0,X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 21.97/22.85      | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14371]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_61,plain,
% 21.97/22.85      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.97/22.85      | c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.97/22.85      | 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)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8358_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14365,plain,
% 21.97/22.85      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.97/22.85      | c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 21.97/22.85      | 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)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_61]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_59,plain,
% 21.97/22.85      ( ~ 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))))
% 21.97/22.85      | 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)))) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8357_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14361,plain,
% 21.97/22.85      ( ~ 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))))
% 21.97/22.85      | 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)))) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_59]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14362,plain,
% 21.97/22.85      ( 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))))
% 21.97/22.85      | ~ 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)))) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14361]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_57,plain,
% 21.97/22.85      ( ~ 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))))
% 21.97/22.85      | 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)))) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8356_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14357,plain,
% 21.97/22.85      ( ~ 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))))
% 21.97/22.85      | 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)))) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_57]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14358,plain,
% 21.97/22.85      ( 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))))
% 21.97/22.85      | ~ 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)))) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14357]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_46,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | c_plus(X0,X3,tc_nat) = c_plus(X2,X1,tc_nat) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8352_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14335,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | c_plus(X0,X3,tc_nat) = c_plus(X2,X1,tc_nat) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_46]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_45,plain,
% 21.97/22.85      ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 21.97/22.85      | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6))
% 21.97/22.85      | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8351_2) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14333,plain,
% 21.97/22.85      ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 21.97/22.85      | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6))
% 21.97/22.85      | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_45]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_41,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 21.97/22.85      | 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 ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8350_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14325,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 21.97/22.85      | 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 ),
% 21.97/22.85      inference(copy,[status(esa)],[c_41]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_39,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | 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 ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8349_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14321,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | 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 ),
% 21.97/22.85      inference(copy,[status(esa)],[c_39]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_37,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | 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 ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8348_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14317,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | 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 ),
% 21.97/22.85      inference(copy,[status(esa)],[c_37]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_35,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
% 21.97/22.85      | c_in(c_Pair(c_Main_OImageE__1(X2,X0,X1,X3,X4),X0,X3,X4),X1,tc_prod(X3,X4)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8347_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14313,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
% 21.97/22.85      | c_in(c_Pair(c_Main_OImageE__1(X2,X0,X1,X3,X4),X0,X3,X4),X1,tc_prod(X3,X4)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_35]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14314,plain,
% 21.97/22.85      ( c_in(c_Pair(c_Main_OImageE__1(X0,X1,X2,X3,X4),X1,X3,X4),X2,tc_prod(X3,X4))
% 21.97/22.85      | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14313]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_32,plain,
% 21.97/22.85      ( ~ 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))))
% 21.97/22.85      | 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
% 21.97/22.85      | 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 ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8346_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14307,plain,
% 21.97/22.85      ( ~ 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))))
% 21.97/22.85      | 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
% 21.97/22.85      | 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 ),
% 21.97/22.85      inference(copy,[status(esa)],[c_32]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_30,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | c_in(c_Pair(c_Main_Olistrel__Cons2__1(X4,X0,X1,X2,X3),X1,X3,X3),X4,tc_prod(X3,X3)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8345_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14303,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | c_in(c_Pair(c_Main_Olistrel__Cons2__1(X4,X0,X1,X2,X3),X1,X3,X3),X4,tc_prod(X3,X3)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_30]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14304,plain,
% 21.97/22.85      ( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X0,X1,X2,X3,X4),X2,X4,X4),X0,tc_prod(X4,X4))
% 21.97/22.85      | ~ 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))) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14303]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_28,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X4,X3,X0,X1,X2),X2,X2),X4,tc_prod(X2,X2)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8344_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14299,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X4,X3,X0,X1,X2),X2,X2),X4,tc_prod(X2,X2)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_28]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_27,plain,
% 21.97/22.85      ( 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))))
% 21.97/22.85      | ~ 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))))
% 21.97/22.85      | ~ 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)))) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8343_2) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14297,plain,
% 21.97/22.85      ( 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))))
% 21.97/22.85      | ~ 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))))
% 21.97/22.85      | ~ 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)))) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_27]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_23,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | 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))) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8342_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14289,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | 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))) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_23]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14290,plain,
% 21.97/22.85      ( 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)))
% 21.97/22.85      | ~ 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))) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14289]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_21,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | 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))) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8341_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14285,plain,
% 21.97/22.85      ( ~ 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)))
% 21.97/22.85      | 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))) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_21]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_12,plain,
% 21.97/22.85      ( ~ 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))))
% 21.97/22.85      | 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))))
% 21.97/22.85      | 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)))) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8338_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14267,plain,
% 21.97/22.85      ( ~ 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))))
% 21.97/22.85      | 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))))
% 21.97/22.85      | 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)))) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_12]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14268,plain,
% 21.97/22.85      ( 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))))
% 21.97/22.85      | 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))))
% 21.97/22.85      | ~ 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)))) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14267]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_10,plain,
% 21.97/22.85      ( ~ 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))))
% 21.97/22.85      | 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)))) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8337_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14263,plain,
% 21.97/22.85      ( ~ 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))))
% 21.97/22.85      | 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)))) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_10]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14264,plain,
% 21.97/22.85      ( 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))))
% 21.97/22.85      | ~ 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)))) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14263]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_8,plain,
% 21.97/22.85      ( ~ 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))))
% 21.97/22.85      | 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)))) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8336_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14259,plain,
% 21.97/22.85      ( ~ 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))))
% 21.97/22.85      | 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)))) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_8]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14260,plain,
% 21.97/22.85      ( 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))))
% 21.97/22.85      | ~ 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)))) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14259]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_6,plain,
% 21.97/22.85      ( ~ 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))))
% 21.97/22.85      | 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 ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8335_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14255,plain,
% 21.97/22.85      ( ~ 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))))
% 21.97/22.85      | 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 ),
% 21.97/22.85      inference(copy,[status(esa)],[c_6]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_4,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
% 21.97/22.85      | 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 ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8334_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14251,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
% 21.97/22.85      | 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 ),
% 21.97/22.85      inference(copy,[status(esa)],[c_4]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_2,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
% 21.97/22.85      | 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)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8333_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14247,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
% 21.97/22.85      | 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)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_2]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14248,plain,
% 21.97/22.85      ( 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))
% 21.97/22.85      | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14247]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_0,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
% 21.97/22.85      | 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)) ),
% 21.97/22.85      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_8332_0) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14243,plain,
% 21.97/22.85      ( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
% 21.97/22.85      | 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)) ),
% 21.97/22.85      inference(copy,[status(esa)],[c_0]) ).
% 21.97/22.85  
% 21.97/22.85  cnf(c_14244,plain,
% 21.97/22.85      ( 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))
% 21.97/22.85      | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 21.97/22.85      inference(rewriting,[status(thm)],[c_14243]) ).
% 21.97/22.85  
% 21.97/22.85  
% 21.97/22.85  
% 21.97/22.85  % ------                             Statistics
% 21.97/22.85  
% 21.97/22.85  % ------ General
% 21.97/22.85  
% 21.97/22.85  % num_of_input_clauses:                 5988
% 21.97/22.85  % num_of_input_neg_conjectures:         0
% 21.97/22.85  % num_of_splits:                        0
% 21.97/22.85  % num_of_split_atoms:                   0
% 21.97/22.85  % num_of_sem_filtered_clauses:          0
% 21.97/22.85  % num_of_subtypes:                      0
% 21.97/22.85  % monotx_restored_types:                0
% 21.97/22.85  % sat_num_of_epr_types:                 0
% 21.97/22.85  % sat_num_of_non_cyclic_types:          0
% 21.97/22.85  % sat_guarded_non_collapsed_types:      0
% 21.97/22.85  % is_epr:                               0
% 21.97/22.85  % is_horn:                              0
% 21.97/22.85  % has_eq:                               1
% 21.97/22.85  % num_pure_diseq_elim:                  0
% 21.97/22.85  % simp_replaced_by:                     0
% 21.97/22.85  % res_preprocessed:                     0
% 21.97/22.85  % prep_upred:                           0
% 21.97/22.85  % prep_unflattend:                      0
% 21.97/22.85  % pred_elim_cands:                      0
% 21.97/22.85  % pred_elim:                            0
% 21.97/22.85  % pred_elim_cl:                         0
% 21.97/22.85  % pred_elim_cycles:                     0
% 21.97/22.85  % forced_gc_time:                       0
% 21.97/22.85  % gc_basic_clause_elim:                 0
% 21.97/22.85  % parsing_time:                         0.161
% 21.97/22.85  % sem_filter_time:                      0.
% 21.97/22.85  % pred_elim_time:                       0.
% 21.97/22.85  % out_proof_time:                       0.
% 21.97/22.85  % monotx_time:                          0.
% 21.97/22.85  % subtype_inf_time:                     0.
% 21.97/22.85  % unif_index_cands_time:                0.
% 21.97/22.85  % unif_index_add_time:                  0.002
% 21.97/22.85  % total_time:                           22.07
% 21.97/22.85  % num_of_symbols:                       343
% 21.97/22.85  % num_of_terms:                         10209
% 21.97/22.85  
% 21.97/22.85  % ------ Propositional Solver
% 21.97/22.85  
% 21.97/22.85  % prop_solver_calls:                    1
% 21.97/22.85  % prop_fast_solver_calls:               0
% 21.97/22.85  % prop_num_of_clauses:                  5977
% 21.97/22.85  % prop_preprocess_simplified:           17617
% 21.97/22.85  % prop_fo_subsumed:                     0
% 21.97/22.85  % prop_solver_time:                     0.
% 21.97/22.86  % prop_fast_solver_time:                0.
% 21.97/22.86  % prop_unsat_core_time:                 0.
% 21.97/22.86  
% 21.97/22.86  % ------ QBF 
% 21.97/22.86  
% 21.97/22.86  % qbf_q_res:                            0
% 21.97/22.86  % qbf_num_tautologies:                  0
% 21.97/22.86  % qbf_prep_cycles:                      0
% 21.97/22.86  
% 21.97/22.86  % ------ BMC1
% 21.97/22.86  
% 21.97/22.86  % bmc1_current_bound:                   -1
% 21.97/22.86  % bmc1_last_solved_bound:               -1
% 21.97/22.86  % bmc1_unsat_core_size:                 -1
% 21.97/22.86  % bmc1_unsat_core_parents_size:         -1
% 21.97/22.86  % bmc1_merge_next_fun:                  0
% 21.97/22.86  % bmc1_unsat_core_clauses_time:         0.
% 21.97/22.86  
% 21.97/22.86  % ------ Instantiation
% 21.97/22.86  
% 21.97/22.86  % inst_num_of_clauses:                  5871
% 21.97/22.86  % inst_num_in_passive:                  0
% 21.97/22.86  % inst_num_in_active:                   0
% 21.97/22.86  % inst_num_in_unprocessed:              5988
% 21.97/22.86  % inst_num_of_loops:                    0
% 21.97/22.86  % inst_num_of_learning_restarts:        0
% 21.97/22.86  % inst_num_moves_active_passive:        0
% 21.97/22.86  % inst_lit_activity:                    0
% 21.97/22.86  % inst_lit_activity_moves:              0
% 21.97/22.86  % inst_num_tautologies:                 0
% 21.97/22.86  % inst_num_prop_implied:                0
% 21.97/22.86  % inst_num_existing_simplified:         0
% 21.97/22.86  % inst_num_eq_res_simplified:           0
% 21.97/22.86  % inst_num_child_elim:                  0
% 21.97/22.86  % inst_num_of_dismatching_blockings:    0
% 21.97/22.86  % inst_num_of_non_proper_insts:         0
% 21.97/22.86  % inst_num_of_duplicates:               0
% 21.97/22.86  % inst_inst_num_from_inst_to_res:       0
% 21.97/22.86  % inst_dismatching_checking_time:       0.
% 21.97/22.86  
% 21.97/22.86  % ------ Resolution
% 21.97/22.86  
% 21.97/22.86  % res_num_of_clauses:                   6263
% 21.97/22.86  % res_num_in_passive:                   0
% 21.97/22.86  % res_num_in_active:                    2361
% 21.97/22.86  % res_num_of_loops:                     1
% 21.97/22.86  % res_forward_subset_subsumed:          3220
% 21.97/22.86  % res_backward_subset_subsumed:         0
% 21.97/22.86  % res_forward_subsumed:                 0
% 21.97/22.86  % res_backward_subsumed:                0
% 21.97/22.86  % res_forward_subsumption_resolution:   0
% 21.97/22.86  % res_backward_subsumption_resolution:  0
% 21.97/22.86  % res_clause_to_clause_subsumption:     0
% 21.97/22.86  % res_orphan_elimination:               0
% 21.97/22.86  % res_tautology_del:                    0
% 21.97/22.86  % res_num_eq_res_simplified:            0
% 21.97/22.86  % res_num_sel_changes:                  0
% 21.97/22.86  % res_moves_from_active_to_pass:        0
% 21.97/22.86  
% 21.97/22.86  % Status Unknown
% 22.31/23.18  % Orienting using strategy ClausalAll
% 22.31/23.18  % Orientation found
% 22.31/23.18  % 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_014e14.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_95832a.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_356e6a | grep -v "SZS"
% 22.31/23.20  
% 22.31/23.20  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 22.31/23.20  
% 22.31/23.20  % 
% 22.31/23.20  % ------  iProver source info 
% 22.31/23.20  
% 22.31/23.20  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 22.31/23.20  % git: non_committed_changes: true
% 22.31/23.20  % git: last_make_outside_of_git: true
% 22.31/23.20  
% 22.31/23.20  % 
% 22.31/23.20  % ------ Input Options
% 22.31/23.20  
% 22.31/23.20  % --out_options                         all
% 22.31/23.20  % --tptp_safe_out                       true
% 22.31/23.20  % --problem_path                        ""
% 22.31/23.20  % --include_path                        ""
% 22.31/23.20  % --clausifier                          .//eprover
% 22.31/23.20  % --clausifier_options                  --tstp-format  
% 22.31/23.20  % --stdin                               false
% 22.31/23.20  % --dbg_backtrace                       false
% 22.31/23.20  % --dbg_dump_prop_clauses               false
% 22.31/23.20  % --dbg_dump_prop_clauses_file          -
% 22.31/23.20  % --dbg_out_stat                        false
% 22.31/23.20  
% 22.31/23.20  % ------ General Options
% 22.31/23.20  
% 22.31/23.20  % --fof                                 false
% 22.31/23.20  % --time_out_real                       150.
% 22.31/23.20  % --time_out_prep_mult                  0.2
% 22.31/23.20  % --time_out_virtual                    -1.
% 22.31/23.20  % --schedule                            none
% 22.31/23.20  % --ground_splitting                    input
% 22.31/23.20  % --splitting_nvd                       16
% 22.31/23.20  % --non_eq_to_eq                        false
% 22.31/23.20  % --prep_gs_sim                         true
% 22.31/23.20  % --prep_unflatten                      false
% 22.31/23.20  % --prep_res_sim                        true
% 22.31/23.20  % --prep_upred                          true
% 22.31/23.20  % --res_sim_input                       true
% 22.31/23.20  % --clause_weak_htbl                    true
% 22.31/23.20  % --gc_record_bc_elim                   false
% 22.31/23.20  % --symbol_type_check                   false
% 22.31/23.20  % --clausify_out                        false
% 22.31/23.20  % --large_theory_mode                   false
% 22.31/23.20  % --prep_sem_filter                     none
% 22.31/23.20  % --prep_sem_filter_out                 false
% 22.31/23.20  % --preprocessed_out                    false
% 22.31/23.20  % --sub_typing                          false
% 22.31/23.20  % --brand_transform                     false
% 22.31/23.20  % --pure_diseq_elim                     true
% 22.31/23.20  % --min_unsat_core                      false
% 22.31/23.20  % --pred_elim                           true
% 22.31/23.20  % --add_important_lit                   false
% 22.31/23.20  % --soft_assumptions                    false
% 22.31/23.20  % --reset_solvers                       false
% 22.31/23.20  % --bc_imp_inh                          []
% 22.31/23.20  % --conj_cone_tolerance                 1.5
% 22.31/23.20  % --prolific_symb_bound                 500
% 22.31/23.20  % --lt_threshold                        2000
% 22.31/23.20  
% 22.31/23.20  % ------ SAT Options
% 22.31/23.20  
% 22.31/23.20  % --sat_mode                            false
% 22.31/23.20  % --sat_fm_restart_options              ""
% 22.31/23.20  % --sat_gr_def                          false
% 22.31/23.20  % --sat_epr_types                       true
% 22.31/23.20  % --sat_non_cyclic_types                false
% 22.31/23.20  % --sat_finite_models                   false
% 22.31/23.20  % --sat_fm_lemmas                       false
% 22.31/23.20  % --sat_fm_prep                         false
% 22.31/23.20  % --sat_fm_uc_incr                      true
% 22.31/23.20  % --sat_out_model                       small
% 22.31/23.20  % --sat_out_clauses                     false
% 22.31/23.20  
% 22.31/23.20  % ------ QBF Options
% 22.31/23.20  
% 22.31/23.20  % --qbf_mode                            false
% 22.31/23.20  % --qbf_elim_univ                       true
% 22.31/23.20  % --qbf_sk_in                           true
% 22.31/23.20  % --qbf_pred_elim                       true
% 22.31/23.20  % --qbf_split                           32
% 22.31/23.20  
% 22.31/23.20  % ------ BMC1 Options
% 22.31/23.20  
% 22.31/23.20  % --bmc1_incremental                    false
% 22.31/23.20  % --bmc1_axioms                         reachable_all
% 22.31/23.20  % --bmc1_min_bound                      0
% 22.31/23.20  % --bmc1_max_bound                      -1
% 22.31/23.20  % --bmc1_max_bound_default              -1
% 22.31/23.20  % --bmc1_symbol_reachability            true
% 22.31/23.20  % --bmc1_property_lemmas                false
% 22.31/23.20  % --bmc1_k_induction                    false
% 22.31/23.20  % --bmc1_non_equiv_states               false
% 22.31/23.20  % --bmc1_deadlock                       false
% 22.31/23.20  % --bmc1_ucm                            false
% 22.31/23.20  % --bmc1_add_unsat_core                 none
% 22.31/23.20  % --bmc1_unsat_core_children            false
% 22.31/23.20  % --bmc1_unsat_core_extrapolate_axioms  false
% 22.31/23.20  % --bmc1_out_stat                       full
% 22.31/23.20  % --bmc1_ground_init                    false
% 22.31/23.20  % --bmc1_pre_inst_next_state            false
% 22.31/23.20  % --bmc1_pre_inst_state                 false
% 22.31/23.20  % --bmc1_pre_inst_reach_state           false
% 22.31/23.20  % --bmc1_out_unsat_core                 false
% 22.31/23.20  % --bmc1_aig_witness_out                false
% 22.31/23.20  % --bmc1_verbose                        false
% 22.31/23.20  % --bmc1_dump_clauses_tptp              false
% 31.24/32.11  % --bmc1_dump_unsat_core_tptp           false
% 31.24/32.11  % --bmc1_dump_file                      -
% 31.24/32.11  % --bmc1_ucm_expand_uc_limit            128
% 31.24/32.11  % --bmc1_ucm_n_expand_iterations        6
% 31.24/32.11  % --bmc1_ucm_extend_mode                1
% 31.24/32.11  % --bmc1_ucm_init_mode                  2
% 31.24/32.11  % --bmc1_ucm_cone_mode                  none
% 31.24/32.11  % --bmc1_ucm_reduced_relation_type      0
% 31.24/32.11  % --bmc1_ucm_relax_model                4
% 31.24/32.11  % --bmc1_ucm_full_tr_after_sat          true
% 31.24/32.11  % --bmc1_ucm_expand_neg_assumptions     false
% 31.24/32.11  % --bmc1_ucm_layered_model              none
% 31.24/32.11  % --bmc1_ucm_max_lemma_size             10
% 31.24/32.11  
% 31.24/32.11  % ------ AIG Options
% 31.24/32.11  
% 31.24/32.11  % --aig_mode                            false
% 31.24/32.11  
% 31.24/32.11  % ------ Instantiation Options
% 31.24/32.11  
% 31.24/32.11  % --instantiation_flag                  true
% 31.24/32.11  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 31.24/32.11  % --inst_solver_per_active              750
% 31.24/32.11  % --inst_solver_calls_frac              0.5
% 31.24/32.11  % --inst_passive_queue_type             priority_queues
% 31.24/32.11  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 31.24/32.11  % --inst_passive_queues_freq            [25;2]
% 31.24/32.11  % --inst_dismatching                    true
% 31.24/32.11  % --inst_eager_unprocessed_to_passive   true
% 31.24/32.11  % --inst_prop_sim_given                 true
% 31.24/32.11  % --inst_prop_sim_new                   false
% 31.24/32.11  % --inst_orphan_elimination             true
% 31.24/32.11  % --inst_learning_loop_flag             true
% 31.24/32.11  % --inst_learning_start                 3000
% 31.24/32.11  % --inst_learning_factor                2
% 31.24/32.11  % --inst_start_prop_sim_after_learn     3
% 31.24/32.11  % --inst_sel_renew                      solver
% 31.24/32.11  % --inst_lit_activity_flag              true
% 31.24/32.11  % --inst_out_proof                      true
% 31.24/32.11  
% 31.24/32.11  % ------ Resolution Options
% 31.24/32.11  
% 31.24/32.11  % --resolution_flag                     true
% 31.24/32.11  % --res_lit_sel                         kbo_max
% 31.24/32.11  % --res_to_prop_solver                  none
% 31.24/32.11  % --res_prop_simpl_new                  false
% 31.24/32.11  % --res_prop_simpl_given                false
% 31.24/32.11  % --res_passive_queue_type              priority_queues
% 31.24/32.11  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 31.24/32.11  % --res_passive_queues_freq             [15;5]
% 31.24/32.11  % --res_forward_subs                    full
% 31.24/32.11  % --res_backward_subs                   full
% 31.24/32.11  % --res_forward_subs_resolution         true
% 31.24/32.11  % --res_backward_subs_resolution        true
% 31.24/32.11  % --res_orphan_elimination              false
% 31.24/32.11  % --res_time_limit                      1000.
% 31.24/32.11  % --res_out_proof                       true
% 31.24/32.11  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_014e14.s
% 31.24/32.11  % --modulo                              true
% 31.24/32.11  
% 31.24/32.11  % ------ Combination Options
% 31.24/32.11  
% 31.24/32.11  % --comb_res_mult                       1000
% 31.24/32.11  % --comb_inst_mult                      300
% 31.24/32.11  % ------ 
% 31.24/32.11  
% 31.24/32.11  % ------ Parsing...% successful
% 31.24/32.11  
% 31.24/32.11  % ------ 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 % 
% 31.24/32.11  
% 31.24/32.11  % ------ Proving...
% 31.24/32.11  % ------ Problem Properties 
% 31.24/32.11  
% 31.24/32.11  % 
% 31.24/32.11  % EPR                                   false
% 31.24/32.11  % Horn                                  false
% 31.24/32.11  % Has equality                          true
% 31.24/32.11  
% 31.24/32.11  % % ------ Input Options Time Limit: Unbounded
% 31.24/32.11  
% 31.24/32.11  
% 31.24/32.11  Compiling...
% 31.24/32.11  Loading plugin: done.
% 31.24/32.11  Compiling...
% 31.24/32.11  Loading plugin: done.
% 31.24/32.11  Compiling...
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% 31.24/32.11  Compiling...
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% 31.24/32.11  Compiling...
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% 31.24/32.11  Compiling...
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% 31.24/32.11  Compiling...
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% 31.24/32.11  Compiling...
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% 31.24/32.11  Compiling...
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% 31.24/32.11  Compiling...
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% 31.24/32.11  Compiling...
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% 31.24/32.11  Compiling...
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% 31.24/32.11  Compiling...
% 39.18/40.11  Loading plugin: done.
% 39.18/40.11  Compiling...
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% 39.18/40.11  Compiling...
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% 39.18/40.11  Compiling...
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% 39.18/40.11  Compiling...
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% 39.18/40.11  Compiling...
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% 39.18/40.11  Compiling...
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% 39.18/40.11  Compiling...
% 39.18/40.11  Loading plugin: done.
% 39.18/40.11  % % ------ Current options:
% 39.18/40.11  
% 39.18/40.11  % ------ Input Options
% 39.18/40.11  
% 39.18/40.11  % --out_options                         all
% 39.18/40.11  % --tptp_safe_out                       true
% 39.18/40.11  % --problem_path                        ""
% 39.18/40.11  % --include_path                        ""
% 39.18/40.11  % --clausifier                          .//eprover
% 39.18/40.11  % --clausifier_options                  --tstp-format  
% 39.18/40.11  % --stdin                               false
% 39.18/40.11  % --dbg_backtrace                       false
% 39.18/40.11  % --dbg_dump_prop_clauses               false
% 39.18/40.11  % --dbg_dump_prop_clauses_file          -
% 39.18/40.11  % --dbg_out_stat                        false
% 39.18/40.11  
% 39.18/40.11  % ------ General Options
% 39.18/40.11  
% 39.18/40.11  % --fof                                 false
% 39.18/40.11  % --time_out_real                       150.
% 39.18/40.11  % --time_out_prep_mult                  0.2
% 39.18/40.11  % --time_out_virtual                    -1.
% 39.18/40.11  % --schedule                            none
% 39.18/40.11  % --ground_splitting                    input
% 39.18/40.11  % --splitting_nvd                       16
% 39.18/40.11  % --non_eq_to_eq                        false
% 39.18/40.11  % --prep_gs_sim                         true
% 39.18/40.11  % --prep_unflatten                      false
% 39.18/40.11  % --prep_res_sim                        true
% 39.18/40.11  % --prep_upred                          true
% 39.18/40.11  % --res_sim_input                       true
% 39.18/40.11  % --clause_weak_htbl                    true
% 39.18/40.11  % --gc_record_bc_elim                   false
% 39.18/40.11  % --symbol_type_check                   false
% 39.18/40.11  % --clausify_out                        false
% 39.18/40.11  % --large_theory_mode                   false
% 39.18/40.11  % --prep_sem_filter                     none
% 39.18/40.11  % --prep_sem_filter_out                 false
% 39.18/40.11  % --preprocessed_out                    false
% 39.18/40.11  % --sub_typing                          false
% 39.18/40.11  % --brand_transform                     false
% 39.18/40.11  % --pure_diseq_elim                     true
% 39.18/40.11  % --min_unsat_core                      false
% 39.18/40.11  % --pred_elim                           true
% 39.18/40.11  % --add_important_lit                   false
% 39.18/40.11  % --soft_assumptions                    false
% 39.18/40.11  % --reset_solvers                       false
% 39.18/40.11  % --bc_imp_inh                          []
% 39.18/40.11  % --conj_cone_tolerance                 1.5
% 39.18/40.11  % --prolific_symb_bound                 500
% 39.18/40.11  % --lt_threshold                        2000
% 39.18/40.11  
% 39.18/40.11  % ------ SAT Options
% 39.18/40.11  
% 39.18/40.11  % --sat_mode                            false
% 39.18/40.11  % --sat_fm_restart_options              ""
% 39.18/40.11  % --sat_gr_def                          false
% 39.18/40.11  % --sat_epr_types                       true
% 39.18/40.11  % --sat_non_cyclic_types                false
% 39.18/40.11  % --sat_finite_models                   false
% 39.18/40.11  % --sat_fm_lemmas                       false
% 39.18/40.11  % --sat_fm_prep                         false
% 39.18/40.11  % --sat_fm_uc_incr                      true
% 39.18/40.11  % --sat_out_model                       small
% 39.18/40.11  % --sat_out_clauses                     false
% 39.18/40.11  
% 39.18/40.11  % ------ QBF Options
% 39.18/40.11  
% 39.18/40.11  % --qbf_mode                            false
% 39.18/40.11  % --qbf_elim_univ                       true
% 39.18/40.11  % --qbf_sk_in                           true
% 39.18/40.11  % --qbf_pred_elim                       true
% 39.18/40.11  % --qbf_split                           32
% 39.18/40.11  
% 39.18/40.11  % ------ BMC1 Options
% 39.18/40.11  
% 39.18/40.11  % --bmc1_incremental                    false
% 39.18/40.11  % --bmc1_axioms                         reachable_all
% 39.18/40.11  % --bmc1_min_bound                      0
% 39.18/40.11  % --bmc1_max_bound                      -1
% 39.18/40.11  % --bmc1_max_bound_default              -1
% 39.18/40.11  % --bmc1_symbol_reachability            true
% 39.18/40.11  % --bmc1_property_lemmas                false
% 39.18/40.11  % --bmc1_k_induction                    false
% 39.18/40.11  % --bmc1_non_equiv_states               false
% 39.18/40.11  % --bmc1_deadlock                       false
% 39.18/40.11  % --bmc1_ucm                            false
% 39.18/40.11  % --bmc1_add_unsat_core                 none
% 39.18/40.11  % --bmc1_unsat_core_children            false
% 39.18/40.11  % --bmc1_unsat_core_extrapolate_axioms  false
% 39.18/40.11  % --bmc1_out_stat                       full
% 39.18/40.11  % --bmc1_ground_init                    false
% 39.18/40.11  % --bmc1_pre_inst_next_state            false
% 39.18/40.11  % --bmc1_pre_inst_state                 false
% 39.18/40.11  % --bmc1_pre_inst_reach_state           false
% 39.18/40.11  % --bmc1_out_unsat_core                 false
% 39.18/40.11  % --bmc1_aig_witness_out                false
% 39.18/40.11  % --bmc1_verbose                        false
% 39.18/40.11  % --bmc1_dump_clauses_tptp              false
% 39.18/40.11  % --bmc1_dump_unsat_core_tptp           false
% 39.18/40.11  % --bmc1_dump_file                      -
% 39.18/40.11  % --bmc1_ucm_expand_uc_limit            128
% 39.18/40.11  % --bmc1_ucm_n_expand_iterations        6
% 39.18/40.11  % --bmc1_ucm_extend_mode                1
% 39.18/40.11  % --bmc1_ucm_init_mode                  2
% 39.18/40.11  % --bmc1_ucm_cone_mode                  none
% 39.18/40.11  % --bmc1_ucm_reduced_relation_type      0
% 39.18/40.11  % --bmc1_ucm_relax_model                4
% 39.18/40.11  % --bmc1_ucm_full_tr_after_sat          true
% 39.18/40.11  % --bmc1_ucm_expand_neg_assumptions     false
% 39.18/40.11  % --bmc1_ucm_layered_model              none
% 39.18/40.11  % --bmc1_ucm_max_lemma_size             10
% 39.18/40.11  
% 39.18/40.11  % ------ AIG Options
% 39.18/40.11  
% 39.18/40.11  % --aig_mode                            false
% 39.18/40.11  
% 39.18/40.11  % ------ Instantiation Options
% 39.18/40.11  
% 39.18/40.11  % --instantiation_flag                  true
% 39.18/40.11  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 39.18/40.11  % --inst_solver_per_active              750
% 39.18/40.11  % --inst_solver_calls_frac              0.5
% 39.18/40.11  % --inst_passive_queue_type             priority_queues
% 39.18/40.11  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 39.18/40.11  % --inst_passive_queues_freq            [25;2]
% 39.18/40.11  % --inst_dismatching                    true
% 39.18/40.11  % --inst_eager_unprocessed_to_passive   true
% 39.18/40.11  % --inst_prop_sim_given                 true
% 39.18/40.11  % --inst_prop_sim_new                   false
% 39.18/40.11  % --inst_orphan_elimination             true
% 39.18/40.11  % --inst_learning_loop_flag             true
% 39.18/40.11  % --inst_learning_start                 3000
% 39.18/40.11  % --inst_learning_factor                2
% 39.18/40.11  % --inst_start_prop_sim_after_learn     3
% 39.18/40.11  % --inst_sel_renew                      solver
% 39.18/40.11  % --inst_lit_activity_flag              true
% 39.18/40.11  % --inst_out_proof                      true
% 39.18/40.11  
% 39.18/40.11  % ------ Resolution Options
% 39.18/40.11  
% 39.18/40.11  % --resolution_flag                     true
% 39.18/40.11  % --res_lit_sel                         kbo_max
% 39.18/40.11  % --res_to_prop_solver                  none
% 39.18/40.11  % --res_prop_simpl_new                  false
% 39.18/40.11  % --res_prop_simpl_given                false
% 39.18/40.11  % --res_passive_queue_type              priority_queues
% 39.18/40.11  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 39.18/40.11  % --res_passive_queues_freq             [15;5]
% 39.18/40.11  % --res_forward_subs                    full
% 39.18/40.11  % --res_backward_subs                   full
% 39.18/40.11  % --res_forward_subs_resolution         true
% 39.18/40.11  % --res_backward_subs_resolution        true
% 39.18/40.11  % --res_orphan_elimination              false
% 39.18/40.11  % --res_time_limit                      1000.
% 39.18/40.11  % --res_out_proof                       true
% 39.18/40.11  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_014e14.s
% 39.18/40.11  % --modulo                              true
% 39.18/40.11  
% 39.18/40.11  % ------ Combination Options
% 39.18/40.11  
% 39.18/40.11  % --comb_res_mult                       1000
% 39.18/40.11  % --comb_inst_mult                      300
% 39.18/40.11  % ------ 
% 39.18/40.11  
% 39.18/40.11  
% 39.18/40.11  
% 39.18/40.11  % ------ Proving...
% 39.18/40.11  % warning:  shown sat in sat incomplete mode 
% 39.18/40.11  % 
% 39.18/40.11  
% 39.18/40.11  
% 39.18/40.11  
% 39.18/40.11  
% 39.18/40.11  cnf(c_5973,plain,
% 39.18/40.11      ( 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))))
% 39.18/40.11      | 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))))
% 39.18/40.11      | ~ 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)))) ),
% 39.18/40.11      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10946_2) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_25862,plain,
% 39.18/40.11      ( 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))))
% 39.18/40.11      | 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))))
% 39.18/40.11      | ~ 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)))) ),
% 39.18/40.11      inference(copy,[status(esa)],[c_5973]) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_25863,plain,
% 39.18/40.11      ( 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))))
% 39.18/40.11      | 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))))
% 39.18/40.11      | ~ 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)))) ),
% 39.18/40.11      inference(rewriting,[status(thm)],[c_25862]) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_5970,plain,
% 39.18/40.11      ( 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
% 39.18/40.11      | 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))))
% 39.18/40.11      | ~ 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)))) ),
% 39.18/40.11      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10947_2) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_25856,plain,
% 39.18/40.11      ( 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
% 39.18/40.11      | 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))))
% 39.18/40.11      | ~ 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)))) ),
% 39.18/40.11      inference(copy,[status(esa)],[c_5970]) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_25857,plain,
% 39.18/40.11      ( 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))))
% 39.18/40.11      | ~ 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))))
% 39.18/40.11      | 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 ),
% 39.18/40.11      inference(rewriting,[status(thm)],[c_25856]) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_5967,plain,
% 39.18/40.11      ( 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
% 39.18/40.11      | 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))))
% 39.18/40.11      | ~ 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)))) ),
% 39.18/40.11      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10948_2) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_25850,plain,
% 39.18/40.11      ( 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
% 39.18/40.11      | 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))))
% 39.18/40.11      | ~ 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)))) ),
% 39.18/40.11      inference(copy,[status(esa)],[c_5967]) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_25851,plain,
% 39.18/40.11      ( 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))))
% 39.18/40.11      | ~ 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))))
% 39.18/40.11      | 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 ),
% 39.18/40.11      inference(rewriting,[status(thm)],[c_25850]) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_5961,plain,
% 39.18/40.11      ( ~ 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))))
% 39.18/40.11      | 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))))
% 39.18/40.11      | ~ 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)))) ),
% 39.18/40.11      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10951_1) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_25838,plain,
% 39.18/40.11      ( ~ 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))))
% 39.18/40.11      | 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))))
% 39.18/40.11      | ~ 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)))) ),
% 39.18/40.11      inference(copy,[status(esa)],[c_5961]) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_25839,plain,
% 39.18/40.11      ( 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))))
% 39.18/40.11      | ~ 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))))
% 39.18/40.11      | ~ 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)))) ),
% 39.18/40.11      inference(rewriting,[status(thm)],[c_25838]) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_5943,plain,
% 39.18/40.11      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 39.18/40.11      | c_in(c_Pair(X5,X1,X6,X3),c_Relation_Orel__comp(X4,X7,X2,X3,X6),tc_prod(X6,X3))
% 39.18/40.11      | ~ c_in(c_Pair(X5,X0,X6,X2),X7,tc_prod(X6,X2)) ),
% 39.18/40.11      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10959_1) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_25802,plain,
% 39.18/40.11      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 39.18/40.11      | c_in(c_Pair(X5,X1,X6,X3),c_Relation_Orel__comp(X4,X7,X2,X3,X6),tc_prod(X6,X3))
% 39.18/40.11      | ~ c_in(c_Pair(X5,X0,X6,X2),X7,tc_prod(X6,X2)) ),
% 39.18/40.11      inference(copy,[status(esa)],[c_5943]) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_25803,plain,
% 39.18/40.11      ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 39.18/40.11      | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3))
% 39.18/40.11      | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6)) ),
% 39.18/40.11      inference(rewriting,[status(thm)],[c_25802]) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_5937,plain,
% 39.18/40.11      ( 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))
% 39.18/40.11      | 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)
% 39.18/40.11      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.18/40.11      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10961_2) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_25790,plain,
% 39.18/40.11      ( 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))
% 39.18/40.11      | 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)
% 39.18/40.11      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.18/40.11      inference(copy,[status(esa)],[c_5937]) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_25791,plain,
% 39.18/40.11      ( 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)
% 39.18/40.11      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.11      | 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)) ),
% 39.18/40.11      inference(rewriting,[status(thm)],[c_25790]) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_5931,plain,
% 39.18/40.11      ( 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))
% 39.18/40.11      | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.11      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.18/40.11      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10963_2) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_25778,plain,
% 39.18/40.11      ( 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))
% 39.18/40.11      | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.11      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.18/40.11      inference(copy,[status(esa)],[c_5931]) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_25779,plain,
% 39.18/40.11      ( c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.11      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.11      | 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)) ),
% 39.18/40.11      inference(rewriting,[status(thm)],[c_25778]) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_5924,plain,
% 39.18/40.11      ( 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))
% 39.18/40.11      | c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.11      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.18/40.11      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10966_2) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_25764,plain,
% 39.18/40.11      ( 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))
% 39.18/40.11      | c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.11      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.18/40.11      inference(copy,[status(esa)],[c_5924]) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_25765,plain,
% 39.18/40.11      ( c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.11      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.11      | 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)) ),
% 39.18/40.11      inference(rewriting,[status(thm)],[c_25764]) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_5914,plain,
% 39.18/40.11      ( 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)
% 39.18/40.11      | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.18/40.11      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 39.18/40.11      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10970_2) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_25744,plain,
% 39.18/40.11      ( 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)
% 39.18/40.11      | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.18/40.11      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 39.18/40.11      inference(copy,[status(esa)],[c_5914]) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_25745,plain,
% 39.18/40.11      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.18/40.11      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.18/40.11      | 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) ),
% 39.18/40.11      inference(rewriting,[status(thm)],[c_25744]) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_5908,plain,
% 39.18/40.11      ( 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)
% 39.18/40.11      | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.18/40.11      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 39.18/40.11      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10972_2) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_25732,plain,
% 39.18/40.11      ( 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)
% 39.18/40.11      | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.18/40.11      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 39.18/40.11      inference(copy,[status(esa)],[c_5908]) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_25733,plain,
% 39.18/40.11      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.18/40.11      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.18/40.11      | 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) ),
% 39.18/40.11      inference(rewriting,[status(thm)],[c_25732]) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_5876,plain,
% 39.18/40.11      ( c_in(c_Main_OusumE__2(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 39.18/40.11      | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 39.18/40.11      | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 39.18/40.11      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10986_2) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_25668,plain,
% 39.18/40.11      ( c_in(c_Main_OusumE__2(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 39.18/40.11      | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 39.18/40.11      | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 39.18/40.11      inference(copy,[status(esa)],[c_5876]) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_25669,plain,
% 39.18/40.11      ( c_in(c_Main_OusumE__1(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 39.18/40.11      | c_in(c_Main_OusumE__2(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 39.18/40.11      | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 39.18/40.11      inference(rewriting,[status(thm)],[c_25668]) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_5873,plain,
% 39.18/40.11      ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 39.18/40.11      | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 39.18/40.11      | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 39.18/40.11      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10987_2) ).
% 39.18/40.11  
% 39.18/40.11  cnf(c_25662,plain,
% 39.18/40.11      ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 39.18/40.11      | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 39.18/40.11      | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5873]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25663,plain,
% 39.18/40.12      ( c_in(c_Main_OusumE__1(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 39.18/40.12      | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 39.18/40.12      | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X4,X1,X2,X3),X2,X3) = X1 ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25662]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5870,plain,
% 39.18/40.12      ( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,X1,X2,X3),X2,X3) = X1
% 39.18/40.12      | c_in(c_Main_OusumE__2(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 39.18/40.12      | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10988_2) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25656,plain,
% 39.18/40.12      ( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,X1,X2,X3),X2,X3) = X1
% 39.18/40.12      | c_in(c_Main_OusumE__2(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 39.18/40.12      | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5870]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25657,plain,
% 39.18/40.12      ( c_in(c_Main_OusumE__2(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 39.18/40.12      | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 39.18/40.12      | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X4,X1,X2,X3),X2,X3) = X1 ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25656]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5858,plain,
% 39.18/40.12      ( 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)))
% 39.18/40.12      | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X4,tc_List_Olist(X2))
% 39.18/40.12      | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10993_2) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25632,plain,
% 39.18/40.12      ( 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)))
% 39.18/40.12      | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X4,tc_List_Olist(X2))
% 39.18/40.12      | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5858]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25633,plain,
% 39.18/40.12      ( 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)))
% 39.18/40.12      | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 39.18/40.12      | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X4,tc_List_Olist(X2)) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25632]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5850,plain,
% 39.18/40.12      ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 39.18/40.12      | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 39.18/40.12      | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10996_2) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25616,plain,
% 39.18/40.12      ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 39.18/40.12      | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 39.18/40.12      | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5850]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25617,plain,
% 39.18/40.12      ( c_in(c_Main_OPlusE__1(X0,X1,X2,X3),X0,X2)
% 39.18/40.12      | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3))
% 39.18/40.12      | c_Sum__Type_OInr(c_Main_OPlusE__2(X4,X1,X3,X2),X3,X2) = X1 ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25616]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5847,plain,
% 39.18/40.12      ( c_Sum__Type_OInl(c_Main_OPlusE__1(X0,X1,X2,X3),X2,X3) = X1
% 39.18/40.12      | c_in(c_Main_OPlusE__2(X4,X1,X3,X2),X4,X3)
% 39.18/40.12      | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3)) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10997_2) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25610,plain,
% 39.18/40.12      ( c_Sum__Type_OInl(c_Main_OPlusE__1(X0,X1,X2,X3),X2,X3) = X1
% 39.18/40.12      | c_in(c_Main_OPlusE__2(X4,X1,X3,X2),X4,X3)
% 39.18/40.12      | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3)) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5847]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25611,plain,
% 39.18/40.12      ( c_in(c_Main_OPlusE__2(X0,X1,X2,X3),X0,X2)
% 39.18/40.12      | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2))
% 39.18/40.12      | c_Sum__Type_OInl(c_Main_OPlusE__1(X4,X1,X3,X2),X3,X2) = X1 ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25610]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5844,plain,
% 39.18/40.12      ( c_in(c_Main_OPlusE__2(X0,X1,X2,X3),X0,X2)
% 39.18/40.12      | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 39.18/40.12      | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10998_2) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25604,plain,
% 39.18/40.12      ( c_in(c_Main_OPlusE__2(X0,X1,X2,X3),X0,X2)
% 39.18/40.12      | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 39.18/40.12      | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5844]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25605,plain,
% 39.18/40.12      ( c_in(c_Main_OPlusE__1(X0,X1,X2,X3),X0,X2)
% 39.18/40.12      | c_in(c_Main_OPlusE__2(X4,X1,X3,X2),X4,X3)
% 39.18/40.12      | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3)) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25604]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5831,plain,
% 39.18/40.12      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 39.18/40.12      | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 39.18/40.12      | ~ c_Wellfounded__Recursion_Owf(X3,X2) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11005_2) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25578,plain,
% 39.18/40.12      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 39.18/40.12      | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 39.18/40.12      | ~ c_Wellfounded__Recursion_Owf(X3,X2) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5831]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25579,plain,
% 39.18/40.12      ( c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 39.18/40.12      | ~ c_Wellfounded__Recursion_Owf(X3,X2)
% 39.18/40.12      | c_in(c_Pair(X1,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25578]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5814,plain,
% 39.18/40.12      ( 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)
% 39.18/40.12      | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3))
% 39.18/40.12      | c_Nat_Osize(X4,tc_List_Olist(X2)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11012_2) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25544,plain,
% 39.18/40.12      ( 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)
% 39.18/40.12      | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3))
% 39.18/40.12      | c_Nat_Osize(X4,tc_List_Olist(X2)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5814]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25545,plain,
% 39.18/40.12      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 39.18/40.12      | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3))
% 39.18/40.12      | 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) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25544]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5807,plain,
% 39.18/40.12      ( 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))
% 39.18/40.12      | ~ 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)
% 39.18/40.12      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11017_2) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25530,plain,
% 39.18/40.12      ( 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))
% 39.18/40.12      | ~ 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)
% 39.18/40.12      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5807]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25531,plain,
% 39.18/40.12      ( ~ 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)
% 39.18/40.12      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.12      | 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)) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25530]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5804,plain,
% 39.18/40.12      ( 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)
% 39.18/40.12      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.12      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11018_2) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25524,plain,
% 39.18/40.12      ( 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)
% 39.18/40.12      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.12      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5804]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25525,plain,
% 39.18/40.12      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.12      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.12      | 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) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25524]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5798,plain,
% 39.18/40.12      ( 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)
% 39.18/40.12      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.12      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11020_2) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25512,plain,
% 39.18/40.12      ( 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)
% 39.18/40.12      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.12      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5798]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25513,plain,
% 39.18/40.12      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.12      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.12      | 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) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25512]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5790,plain,
% 39.18/40.12      ( c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
% 39.18/40.12      | ~ c_in(c_Pair(X5,X0,X3,X4),X1,tc_prod(X3,X4))
% 39.18/40.12      | ~ c_in(X5,X2,X3) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11024_2) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25496,plain,
% 39.18/40.12      ( c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
% 39.18/40.12      | ~ c_in(c_Pair(X5,X0,X3,X4),X1,tc_prod(X3,X4))
% 39.18/40.12      | ~ c_in(X5,X2,X3) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5790]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25497,plain,
% 39.18/40.12      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 39.18/40.12      | c_in(X1,c_Relation_OImage(X4,X5,X2,X3),X3)
% 39.18/40.12      | ~ c_in(X0,X5,X2) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25496]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5784,plain,
% 39.18/40.12      ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 39.18/40.12      | 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)))
% 39.18/40.12      | ~ c_in(X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11028_1) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25484,plain,
% 39.18/40.12      ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 39.18/40.12      | 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)))
% 39.18/40.12      | ~ c_in(X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5784]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25485,plain,
% 39.18/40.12      ( 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)))
% 39.18/40.12      | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 39.18/40.12      | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25484]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5780,plain,
% 39.18/40.12      ( 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))
% 39.18/40.12      | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.12      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11029_2) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25476,plain,
% 39.18/40.12      ( 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))
% 39.18/40.12      | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.12      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5780]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25477,plain,
% 39.18/40.12      ( ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.12      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.12      | 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)) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25476]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5774,plain,
% 39.18/40.12      ( 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))
% 39.18/40.12      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat)
% 39.18/40.12      | ~ c_less(X1,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11031_2) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25464,plain,
% 39.18/40.12      ( 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))
% 39.18/40.12      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat)
% 39.18/40.12      | ~ c_less(X1,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5774]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25465,plain,
% 39.18/40.12      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 39.18/40.12      | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat)
% 39.18/40.12      | 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)) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25464]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5768,plain,
% 39.18/40.12      ( ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 39.18/40.12      | c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat)
% 39.18/40.12      | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11037_1) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25452,plain,
% 39.18/40.12      ( ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 39.18/40.12      | c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat)
% 39.18/40.12      | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5768]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25453,plain,
% 39.18/40.12      ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 39.18/40.12      | ~ c_Divides_Oop_Advd(X0,X2,tc_nat)
% 39.18/40.12      | ~ c_Divides_Oop_Advd(X0,X1,tc_nat) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25452]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5749,plain,
% 39.18/40.12      ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.12      | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 39.18/40.12      | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.12      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11049_6) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25414,plain,
% 39.18/40.12      ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.12      | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 39.18/40.12      | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.12      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5749]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25415,plain,
% 39.18/40.12      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.12      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 39.18/40.12      | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 39.18/40.12      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25414]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5742,plain,
% 39.18/40.12      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.12      | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 39.18/40.12      | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.12      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11050_6) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25400,plain,
% 39.18/40.12      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.12      | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 39.18/40.12      | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.12      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5742]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25401,plain,
% 39.18/40.12      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.12      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 39.18/40.12      | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.12      | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25400]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5735,plain,
% 39.18/40.12      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.12      | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.12      | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11051_6) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25386,plain,
% 39.18/40.12      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.12      | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.12      | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5735]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25387,plain,
% 39.18/40.12      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.12      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 39.18/40.12      | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 39.18/40.12      | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25386]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5728,plain,
% 39.18/40.12      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.12      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 39.18/40.12      | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11052_6) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25372,plain,
% 39.18/40.12      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.12      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 39.18/40.12      | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5728]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25373,plain,
% 39.18/40.12      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.12      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 39.18/40.12      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 39.18/40.12      | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25372]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5721,plain,
% 39.18/40.12      ( 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)
% 39.18/40.12      | ~ c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.12      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11058_2) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25358,plain,
% 39.18/40.12      ( 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)
% 39.18/40.12      | ~ c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.12      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5721]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25359,plain,
% 39.18/40.12      ( ~ c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.12      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.18/40.12      | 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) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25358]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5714,plain,
% 39.18/40.12      ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.12      | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 39.18/40.12      | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.12      | ~ c_less(X0,c_0,X3)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.12      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11059_6) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25344,plain,
% 39.18/40.12      ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.12      | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 39.18/40.12      | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.12      | ~ c_less(X0,c_0,X3)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.12      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5714]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25345,plain,
% 39.18/40.12      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.12      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 39.18/40.12      | ~ c_less(X1,c_0,X0)
% 39.18/40.12      | ~ c_less(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.12      | c_less(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25344]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5707,plain,
% 39.18/40.12      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.12      | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 39.18/40.12      | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.12      | ~ c_lessequals(X0,c_0,X3)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.12      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11060_6) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25330,plain,
% 39.18/40.12      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.12      | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 39.18/40.12      | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.12      | ~ c_lessequals(X0,c_0,X3)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.12      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5707]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25331,plain,
% 39.18/40.12      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.12      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 39.18/40.12      | ~ c_lessequals(X1,c_0,X0)
% 39.18/40.12      | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.12      | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25330]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5700,plain,
% 39.18/40.12      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.12      | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 39.18/40.12      | ~ c_less(c_0,X3,X2)
% 39.18/40.12      | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11061_6) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25316,plain,
% 39.18/40.12      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.12      | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 39.18/40.12      | ~ c_less(c_0,X3,X2)
% 39.18/40.12      | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5700]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25317,plain,
% 39.18/40.12      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.12      | ~ c_less(c_0,X1,X0)
% 39.18/40.12      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 39.18/40.12      | c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 39.18/40.12      | ~ c_less(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25316]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5693,plain,
% 39.18/40.12      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.12      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 39.18/40.12      | ~ c_lessequals(c_0,X3,X2)
% 39.18/40.12      | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11062_6) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25302,plain,
% 39.18/40.12      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.12      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 39.18/40.12      | ~ c_lessequals(c_0,X3,X2)
% 39.18/40.12      | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5693]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25303,plain,
% 39.18/40.12      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.12      | ~ c_lessequals(c_0,X1,X0)
% 39.18/40.12      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 39.18/40.12      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 39.18/40.12      | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25302]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5690,plain,
% 39.18/40.12      ( 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)
% 39.18/40.12      | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 39.18/40.12      | ~ class_Power_Orecpower(X1) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11063_2) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25296,plain,
% 39.18/40.12      ( 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)
% 39.18/40.12      | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 39.18/40.12      | ~ class_Power_Orecpower(X1) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5690]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25297,plain,
% 39.18/40.12      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.18/40.12      | ~ class_Power_Orecpower(X0)
% 39.18/40.12      | 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) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25296]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5675,plain,
% 39.18/40.12      ( c_Map_Omap__of(c_List_Ozip(X0,X1,X2,X3),X4,X2,X3) = c_Datatype_Ooption_ONone
% 39.18/40.12      | c_in(X4,c_List_Oset(X0,X2),X2)
% 39.18/40.12      | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11073_2) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25266,plain,
% 39.18/40.12      ( c_Map_Omap__of(c_List_Ozip(X0,X1,X2,X3),X4,X2,X3) = c_Datatype_Ooption_ONone
% 39.18/40.12      | c_in(X4,c_List_Oset(X0,X2),X2)
% 39.18/40.12      | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5675]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25267,plain,
% 39.18/40.12      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 39.18/40.12      | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4))
% 39.18/40.12      | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X0,X2,X4) = c_Datatype_Ooption_ONone ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25266]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5660,plain,
% 39.18/40.12      ( c_less(X0,X1,X2)
% 39.18/40.12      | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 39.18/40.12      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11082_4) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25236,plain,
% 39.18/40.12      ( c_less(X0,X1,X2)
% 39.18/40.12      | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 39.18/40.12      | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5660]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25237,plain,
% 39.18/40.12      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.12      | ~ class_Numeral_Onumber(X0)
% 39.18/40.12      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.12      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 39.18/40.12      | c_less(X3,X2,X0) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25236]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5655,plain,
% 39.18/40.12      ( c_less(X0,X1,X2)
% 39.18/40.12      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 39.18/40.12      | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11083_4) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25226,plain,
% 39.18/40.12      ( c_less(X0,X1,X2)
% 39.18/40.12      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 39.18/40.12      | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5655]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25227,plain,
% 39.18/40.12      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.12      | ~ class_Numeral_Onumber(X0)
% 39.18/40.12      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.12      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 39.18/40.12      | c_less(X2,X3,X0) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25226]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5650,plain,
% 39.18/40.12      ( c_less(X0,X1,X2)
% 39.18/40.12      | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 39.18/40.12      | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11084_4) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25216,plain,
% 39.18/40.12      ( c_less(X0,X1,X2)
% 39.18/40.12      | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 39.18/40.12      | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5650]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25217,plain,
% 39.18/40.12      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.12      | ~ class_Numeral_Onumber(X0)
% 39.18/40.12      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.12      | ~ c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 39.18/40.12      | c_less(X3,X2,X0) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25216]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5645,plain,
% 39.18/40.12      ( c_less(X0,X1,X2)
% 39.18/40.12      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 39.18/40.12      | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11085_4) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25206,plain,
% 39.18/40.12      ( c_less(X0,X1,X2)
% 39.18/40.12      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 39.18/40.12      | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5645]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25207,plain,
% 39.18/40.12      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.12      | ~ class_Numeral_Onumber(X0)
% 39.18/40.12      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.12      | ~ c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 39.18/40.12      | c_less(X2,X3,X0) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25206]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5640,plain,
% 39.18/40.12      ( c_lessequals(X0,X1,X2)
% 39.18/40.12      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11086_4) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25196,plain,
% 39.18/40.12      ( c_lessequals(X0,X1,X2)
% 39.18/40.12      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5640]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25197,plain,
% 39.18/40.12      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.12      | ~ class_Numeral_Onumber(X0)
% 39.18/40.12      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.12      | c_lessequals(X3,X1,X0)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25196]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5635,plain,
% 39.18/40.12      ( c_lessequals(X0,X1,X2)
% 39.18/40.12      | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 39.18/40.12      | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11087_4) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25186,plain,
% 39.18/40.12      ( c_lessequals(X0,X1,X2)
% 39.18/40.12      | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 39.18/40.12      | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5635]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25187,plain,
% 39.18/40.12      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.12      | ~ class_Numeral_Onumber(X0)
% 39.18/40.12      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.12      | c_lessequals(X1,X3,X0)
% 39.18/40.12      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25186]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5630,plain,
% 39.18/40.12      ( c_lessequals(X0,X1,X2)
% 39.18/40.12      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11088_4) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25176,plain,
% 39.18/40.12      ( c_lessequals(X0,X1,X2)
% 39.18/40.12      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5630]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25177,plain,
% 39.18/40.12      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.12      | ~ class_Numeral_Onumber(X0)
% 39.18/40.12      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 39.18/40.12      | c_lessequals(X3,X2,X0)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25176]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5625,plain,
% 39.18/40.12      ( c_lessequals(X0,X1,X2)
% 39.18/40.12      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 39.18/40.12      | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11089_4) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25166,plain,
% 39.18/40.12      ( c_lessequals(X0,X1,X2)
% 39.18/40.12      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 39.18/40.12      | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.12      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5625]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25167,plain,
% 39.18/40.12      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.12      | ~ class_Numeral_Onumber(X0)
% 39.18/40.12      | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 39.18/40.12      | c_lessequals(X2,X3,X0)
% 39.18/40.12      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25166]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5618,plain,
% 39.18/40.12      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.12      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.12      | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.12      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11090_6) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25152,plain,
% 39.18/40.12      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.12      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.12      | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.12      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5618]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25153,plain,
% 39.18/40.12      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.12      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.12      | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 39.18/40.12      | c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25152]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5611,plain,
% 39.18/40.12      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.12      | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.12      | ~ c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.12      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11091_6) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25138,plain,
% 39.18/40.12      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.12      | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.12      | ~ c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.12      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5611]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25139,plain,
% 39.18/40.12      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.12      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.12      | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 39.18/40.12      | ~ c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25138]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5604,plain,
% 39.18/40.12      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.12      | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 39.18/40.12      | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.12      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.12      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11092_6) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25124,plain,
% 39.18/40.12      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.12      | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 39.18/40.12      | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.12      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.12      inference(copy,[status(esa)],[c_5604]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_25125,plain,
% 39.18/40.12      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.12      | ~ c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 39.18/40.12      | c_lessequals(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 39.18/40.12      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.12      inference(rewriting,[status(thm)],[c_25124]) ).
% 39.18/40.12  
% 39.18/40.12  cnf(c_5597,plain,
% 39.18/40.12      ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.12      | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 39.18/40.12      | ~ c_lessequals(X1,c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.12      | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 39.18/40.12      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.12      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.12      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11093_6) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_25110,plain,
% 39.18/40.13      ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 39.18/40.13      | ~ c_lessequals(X1,c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.13      | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.13      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5597]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_25111,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 39.18/40.13      | ~ c_lessequals(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 39.18/40.13      | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_25110]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5590,plain,
% 39.18/40.13      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 39.18/40.13      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11094_6) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_25096,plain,
% 39.18/40.13      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 39.18/40.13      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5590]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_25097,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.13      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 39.18/40.13      | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_25096]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5583,plain,
% 39.18/40.13      ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 39.18/40.13      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11095_6) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_25082,plain,
% 39.18/40.13      ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 39.18/40.13      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5583]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_25083,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.13      | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 39.18/40.13      | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_25082]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5576,plain,
% 39.18/40.13      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 39.18/40.13      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11096_6) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_25068,plain,
% 39.18/40.13      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 39.18/40.13      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5576]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_25069,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 39.18/40.13      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 39.18/40.13      | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_25068]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5569,plain,
% 39.18/40.13      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 39.18/40.13      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11097_6) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_25054,plain,
% 39.18/40.13      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 39.18/40.13      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5569]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_25055,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 39.18/40.13      | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 39.18/40.13      | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_25054]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5556,plain,
% 39.18/40.13      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.13      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 39.18/40.13      | ~ c_less(X2,c_0,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11103_6) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_25028,plain,
% 39.18/40.13      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.13      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 39.18/40.13      | ~ c_less(X2,c_0,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5556]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_25029,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.13      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 39.18/40.13      | ~ c_less(X2,c_0,X0)
% 39.18/40.13      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_25028]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5549,plain,
% 39.18/40.13      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.13      | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.13      | ~ c_less(X2,c_0,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11104_6) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_25014,plain,
% 39.18/40.13      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.13      | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.13      | ~ c_less(X2,c_0,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5549]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_25015,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | ~ c_less(X2,c_0,X0)
% 39.18/40.13      | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 39.18/40.13      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_25014]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5542,plain,
% 39.18/40.13      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 39.18/40.13      | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 39.18/40.13      | ~ c_lessequals(X0,c_0,X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.13      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11105_6) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_25000,plain,
% 39.18/40.13      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 39.18/40.13      | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 39.18/40.13      | ~ c_lessequals(X0,c_0,X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.13      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5542]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_25001,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 39.18/40.13      | ~ c_lessequals(X1,c_0,X0)
% 39.18/40.13      | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_25000]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5535,plain,
% 39.18/40.13      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 39.18/40.13      | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.13      | ~ c_lessequals(X0,c_0,X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.13      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11106_6) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24986,plain,
% 39.18/40.13      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 39.18/40.13      | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.13      | ~ c_lessequals(X0,c_0,X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.13      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5535]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24987,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | ~ c_lessequals(X1,c_0,X0)
% 39.18/40.13      | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 39.18/40.13      | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24986]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5528,plain,
% 39.18/40.13      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.13      | ~ c_less(c_0,X3,X2)
% 39.18/40.13      | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11107_6) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24972,plain,
% 39.18/40.13      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.13      | ~ c_less(c_0,X3,X2)
% 39.18/40.13      | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5528]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24973,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | ~ c_less(c_0,X1,X0)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 39.18/40.13      | c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 39.18/40.13      | ~ c_less(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24972]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5521,plain,
% 39.18/40.13      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 39.18/40.13      | ~ c_less(c_0,X3,X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11108_6) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24958,plain,
% 39.18/40.13      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 39.18/40.13      | ~ c_less(c_0,X3,X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5521]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24959,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | ~ c_less(c_0,X2,X0)
% 39.18/40.13      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 39.18/40.13      | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24958]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5514,plain,
% 39.18/40.13      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.13      | ~ c_lessequals(c_0,X3,X2)
% 39.18/40.13      | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11109_6) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24944,plain,
% 39.18/40.13      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.13      | ~ c_lessequals(c_0,X3,X2)
% 39.18/40.13      | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5514]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24945,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | ~ c_lessequals(c_0,X1,X0)
% 39.18/40.13      | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 39.18/40.13      | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24944]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5507,plain,
% 39.18/40.13      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 39.18/40.13      | ~ c_lessequals(c_0,X3,X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11110_6) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24930,plain,
% 39.18/40.13      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 39.18/40.13      | ~ c_lessequals(c_0,X3,X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5507]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24931,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | ~ c_lessequals(c_0,X1,X0)
% 39.18/40.13      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 39.18/40.13      | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24930]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5501,plain,
% 39.18/40.13      ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.13      | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.13      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11113_5) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24918,plain,
% 39.18/40.13      ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.13      | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.13      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5501]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24919,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 39.18/40.13      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24918]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5495,plain,
% 39.18/40.13      ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ c_less(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11114_5) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24906,plain,
% 39.18/40.13      ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ c_less(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5495]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24907,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 39.18/40.13      | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24906]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5489,plain,
% 39.18/40.13      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.13      | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.13      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11115_5) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24894,plain,
% 39.18/40.13      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.13      | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.13      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5489]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24895,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 39.18/40.13      | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24894]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5483,plain,
% 39.18/40.13      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11116_5) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24882,plain,
% 39.18/40.13      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5483]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24883,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 39.18/40.13      | ~ c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24882]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5477,plain,
% 39.18/40.13      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11117_5) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24870,plain,
% 39.18/40.13      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5477]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24871,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | c_less(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 39.18/40.13      | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24870]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5471,plain,
% 39.18/40.13      ( c_less(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.13      | ~ c_less(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.13      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11118_5) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24858,plain,
% 39.18/40.13      ( c_less(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.13      | ~ c_less(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.13      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5471]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24859,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | ~ c_less(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 39.18/40.13      | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24858]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5465,plain,
% 39.18/40.13      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11119_5) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24846,plain,
% 39.18/40.13      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5465]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24847,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 39.18/40.13      | ~ c_lessequals(X1,c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24846]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5459,plain,
% 39.18/40.13      ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.13      | ~ c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.13      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11120_5) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24834,plain,
% 39.18/40.13      ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.13      | ~ c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.13      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5459]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24835,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | ~ c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 39.18/40.13      | c_lessequals(X1,c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.13      | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24834]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5435,plain,
% 39.18/40.13      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 39.18/40.13      | c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 39.18/40.13      | ~ c_Wellfounded__Recursion_Owf(X2,X3) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11137_1) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24786,plain,
% 39.18/40.13      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 39.18/40.13      | c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 39.18/40.13      | ~ c_Wellfounded__Recursion_Owf(X2,X3) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5435]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24787,plain,
% 39.18/40.13      ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 39.18/40.13      | ~ c_Wellfounded__Recursion_Owf(X1,X3)
% 39.18/40.13      | ~ c_Wellfounded__Recursion_Owf(X0,X2) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24786]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5432,plain,
% 39.18/40.13      ( ~ c_Relation_Otrans(X0,X1)
% 39.18/40.13      | c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 39.18/40.13      | ~ c_Relation_Otrans(X2,X3) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11138_1) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24780,plain,
% 39.18/40.13      ( ~ c_Relation_Otrans(X0,X1)
% 39.18/40.13      | c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 39.18/40.13      | ~ c_Relation_Otrans(X2,X3) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5432]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24781,plain,
% 39.18/40.13      ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 39.18/40.13      | ~ c_Relation_Otrans(X1,X3)
% 39.18/40.13      | ~ c_Relation_Otrans(X0,X2) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24780]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5426,plain,
% 39.18/40.13      ( c_less(X0,X1,tc_nat)
% 39.18/40.13      | ~ c_less(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 39.18/40.13      | ~ c_less(c_1,X2,X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 39.18/40.13      | ~ class_Power_Orecpower(X3) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11139_4) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24768,plain,
% 39.18/40.13      ( c_less(X0,X1,tc_nat)
% 39.18/40.13      | ~ c_less(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 39.18/40.13      | ~ c_less(c_1,X2,X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 39.18/40.13      | ~ class_Power_Orecpower(X3) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5426]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24769,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.18/40.13      | ~ class_Power_Orecpower(X0)
% 39.18/40.13      | ~ c_less(c_1,X1,X0)
% 39.18/40.13      | ~ c_less(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 39.18/40.13      | c_less(X2,X3,tc_nat) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24768]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5421,plain,
% 39.18/40.13      ( c_lessequals(X0,X1,tc_nat)
% 39.18/40.13      | ~ c_lessequals(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 39.18/40.13      | ~ c_less(c_1,X2,X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 39.18/40.13      | ~ class_Power_Orecpower(X3) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11140_4) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24758,plain,
% 39.18/40.13      ( c_lessequals(X0,X1,tc_nat)
% 39.18/40.13      | ~ c_lessequals(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 39.18/40.13      | ~ c_less(c_1,X2,X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 39.18/40.13      | ~ class_Power_Orecpower(X3) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5421]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24759,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.18/40.13      | ~ class_Power_Orecpower(X0)
% 39.18/40.13      | ~ c_lessequals(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 39.18/40.13      | c_lessequals(X2,X3,tc_nat)
% 39.18/40.13      | ~ c_less(c_1,X1,X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24758]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5418,plain,
% 39.18/40.13      ( 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)
% 39.18/40.13      | ~ class_Ring__and__Field_Osemiring(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11141_2) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24752,plain,
% 39.18/40.13      ( 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)
% 39.18/40.13      | ~ class_Ring__and__Field_Osemiring(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5418]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24753,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Osemiring(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | 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) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24752]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5415,plain,
% 39.18/40.13      ( 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)
% 39.18/40.13      | ~ class_Ring__and__Field_Oring(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11142_2) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24746,plain,
% 39.18/40.13      ( 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)
% 39.18/40.13      | ~ class_Ring__and__Field_Oring(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5415]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24747,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oring(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | 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) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24746]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5412,plain,
% 39.18/40.13      ( 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)
% 39.18/40.13      | ~ class_Ring__and__Field_Osemiring(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11143_2) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24740,plain,
% 39.18/40.13      ( 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)
% 39.18/40.13      | ~ class_Ring__and__Field_Osemiring(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5412]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24741,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Osemiring(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | 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) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24740]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5409,plain,
% 39.18/40.13      ( 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)
% 39.18/40.13      | ~ class_Ring__and__Field_Oring(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11144_2) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24734,plain,
% 39.18/40.13      ( 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)
% 39.18/40.13      | ~ class_Ring__and__Field_Oring(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5409]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24735,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oring(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | 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) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24734]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5405,plain,
% 39.18/40.13      ( ~ c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | ~ 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)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11146_3) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24726,plain,
% 39.18/40.13      ( ~ c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | ~ 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)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5405]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24727,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber__ring(X0)
% 39.18/40.13      | ~ c_lessequals(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | ~ 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) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24726]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5398,plain,
% 39.18/40.13      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_less(X2,c_0,X1)
% 39.18/40.13      | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11147_6) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24712,plain,
% 39.18/40.13      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_less(X2,c_0,X1)
% 39.18/40.13      | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5398]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24713,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.13      | c_less(X2,c_0,X0)
% 39.18/40.13      | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24712]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5391,plain,
% 39.18/40.13      ( c_lessequals(X0,c_0,X1)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 39.18/40.13      | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11148_6) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24698,plain,
% 39.18/40.13      ( c_lessequals(X0,c_0,X1)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 39.18/40.13      | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5391]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24699,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(X1,c_0,X0)
% 39.18/40.13      | ~ c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24698]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5384,plain,
% 39.18/40.13      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_less(c_0,X2,X1)
% 39.18/40.13      | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11149_6) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24684,plain,
% 39.18/40.13      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_less(c_0,X2,X1)
% 39.18/40.13      | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5384]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24685,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | c_less(c_0,X2,X0)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.13      | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24684]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5377,plain,
% 39.18/40.13      ( c_lessequals(c_0,X0,X1)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 39.18/40.13      | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11150_6) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24670,plain,
% 39.18/40.13      ( c_lessequals(c_0,X0,X1)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 39.18/40.13      | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5377]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24671,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_0,X1,X0)
% 39.18/40.13      | ~ c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24670]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5372,plain,
% 39.18/40.13      ( 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)
% 39.18/40.13      | ~ c_less(c_0,X0,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11151_4) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24660,plain,
% 39.18/40.13      ( 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)
% 39.18/40.13      | ~ c_less(c_0,X0,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5372]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24661,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber__ring(X0)
% 39.18/40.13      | 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)
% 39.18/40.13      | ~ c_less(c_0,X1,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24660]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5370,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ c_less(X1,X2,X0)
% 39.18/40.13      | c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 39.18/40.13      | ~ c_less(X2,X1,X0) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11152_1) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24656,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ c_less(X1,X2,X0)
% 39.18/40.13      | c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 39.18/40.13      | ~ c_less(X2,X1,X0) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5370]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24657,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.13      | ~ c_less(X3,X1,X0)
% 39.18/40.13      | ~ c_less(X1,X3,X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24656]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5367,plain,
% 39.18/40.13      ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.13      | ~ c_less(X0,X3,X2)
% 39.18/40.13      | ~ c_less(X3,X0,X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11152_4) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24650,plain,
% 39.18/40.13      ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.13      | ~ c_less(X0,X3,X2)
% 39.18/40.13      | ~ c_less(X3,X0,X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5367]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24651,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.13      | ~ c_less(X1,X3,X0)
% 39.18/40.13      | ~ c_less(X3,X1,X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24650]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5365,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ c_less(X1,X2,X0)
% 39.18/40.13      | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 39.18/40.13      | ~ c_less(X2,X1,X0) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11153_1) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24646,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ c_less(X1,X2,X0)
% 39.18/40.13      | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 39.18/40.13      | ~ c_less(X2,X1,X0) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5365]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24647,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 39.18/40.13      | ~ c_less(X3,X2,X0)
% 39.18/40.13      | ~ c_less(X2,X3,X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24646]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5362,plain,
% 39.18/40.13      ( c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 39.18/40.13      | ~ c_less(X2,X3,X1)
% 39.18/40.13      | ~ c_less(X3,X2,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11153_4) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24640,plain,
% 39.18/40.13      ( c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 39.18/40.13      | ~ c_less(X2,X3,X1)
% 39.18/40.13      | ~ c_less(X3,X2,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5362]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24641,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 39.18/40.13      | ~ c_less(X2,X3,X0)
% 39.18/40.13      | ~ c_less(X3,X2,X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24640]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5360,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ c_lessequals(X1,X2,X0)
% 39.18/40.13      | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 39.18/40.13      | ~ c_lessequals(X2,X1,X0) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11154_1) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24636,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ c_lessequals(X1,X2,X0)
% 39.18/40.13      | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 39.18/40.13      | ~ c_lessequals(X2,X1,X0) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5360]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24637,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.13      | ~ c_lessequals(X3,X1,X0)
% 39.18/40.13      | ~ c_lessequals(X1,X3,X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24636]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5357,plain,
% 39.18/40.13      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.13      | ~ c_lessequals(X0,X3,X2)
% 39.18/40.13      | ~ c_lessequals(X3,X0,X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11154_4) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24630,plain,
% 39.18/40.13      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.13      | ~ c_lessequals(X0,X3,X2)
% 39.18/40.13      | ~ c_lessequals(X3,X0,X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5357]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24631,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.13      | ~ c_lessequals(X1,X3,X0)
% 39.18/40.13      | ~ c_lessequals(X3,X1,X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24630]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5355,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ c_lessequals(X1,X2,X0)
% 39.18/40.13      | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 39.18/40.13      | ~ c_lessequals(X2,X1,X0) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11155_1) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24626,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ c_lessequals(X1,X2,X0)
% 39.18/40.13      | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 39.18/40.13      | ~ c_lessequals(X2,X1,X0) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5355]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24627,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 39.18/40.13      | ~ c_lessequals(X3,X2,X0)
% 39.18/40.13      | ~ c_lessequals(X2,X3,X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24626]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5352,plain,
% 39.18/40.13      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 39.18/40.13      | ~ c_lessequals(X2,X3,X1)
% 39.18/40.13      | ~ c_lessequals(X3,X2,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11155_4) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24620,plain,
% 39.18/40.13      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 39.18/40.13      | ~ c_lessequals(X2,X3,X1)
% 39.18/40.13      | ~ c_lessequals(X3,X2,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5352]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24621,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 39.18/40.13      | ~ c_lessequals(X2,X3,X0)
% 39.18/40.13      | ~ c_lessequals(X3,X2,X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24620]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5347,plain,
% 39.18/40.13      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.13      | ~ c_less(X2,X3,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11156_4) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24610,plain,
% 39.18/40.13      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.13      | ~ c_less(X2,X3,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5347]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24611,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.13      | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 39.18/40.13      | ~ c_less(X2,X3,X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24610]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5342,plain,
% 39.18/40.13      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.13      | ~ c_less(X3,X2,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11157_4) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24600,plain,
% 39.18/40.13      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.13      | ~ c_less(X3,X2,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5342]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24601,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 39.18/40.13      | ~ c_less(X3,X2,X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24600]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5337,plain,
% 39.18/40.13      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 39.18/40.13      | ~ c_less(X2,X3,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11158_4) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24590,plain,
% 39.18/40.13      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 39.18/40.13      | ~ c_less(X2,X3,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5337]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24591,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.13      | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 39.18/40.13      | ~ c_less(X2,X3,X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24590]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5332,plain,
% 39.18/40.13      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 39.18/40.13      | ~ c_less(X3,X2,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11159_4) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24580,plain,
% 39.18/40.13      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 39.18/40.13      | ~ c_less(X3,X2,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5332]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24581,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 39.18/40.13      | ~ c_less(X3,X2,X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24580]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5327,plain,
% 39.18/40.13      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.13      | ~ c_lessequals(X0,X3,X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11160_4) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24570,plain,
% 39.18/40.13      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.13      | ~ c_lessequals(X0,X3,X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5327]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24571,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.13      | ~ c_lessequals(X1,X3,X0)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24570]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5322,plain,
% 39.18/40.13      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ c_lessequals(X3,X0,X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11161_4) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24560,plain,
% 39.18/40.13      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ c_lessequals(X3,X0,X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5322]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24561,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.13      | ~ c_lessequals(X3,X1,X0)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24560]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5317,plain,
% 39.18/40.13      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | ~ c_lessequals(X2,X3,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11162_4) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24550,plain,
% 39.18/40.13      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | ~ c_lessequals(X2,X3,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5317]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24551,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 39.18/40.13      | ~ c_lessequals(X2,X3,X0)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24550]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5312,plain,
% 39.18/40.13      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | ~ c_lessequals(X3,X2,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11163_4) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24540,plain,
% 39.18/40.13      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | ~ c_lessequals(X3,X2,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5312]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24541,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 39.18/40.13      | ~ c_lessequals(X3,X2,X0)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24540]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5299,plain,
% 39.18/40.13      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11170_4) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24514,plain,
% 39.18/40.13      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5299]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24515,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.13      | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24514]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5294,plain,
% 39.18/40.13      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11171_4) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24504,plain,
% 39.18/40.13      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5294]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24505,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.13      | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24504]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5289,plain,
% 39.18/40.13      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11172_4) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24494,plain,
% 39.18/40.13      ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 39.18/40.13      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5289]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24495,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24494]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5284,plain,
% 39.18/40.13      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11173_4) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24484,plain,
% 39.18/40.13      ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5284]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24485,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24484]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5281,plain,
% 39.18/40.13      ( c_lessequals(X0,X1,tc_nat)
% 39.18/40.13      | ~ c_lessequals(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat)
% 39.18/40.13      | ~ c_less(c_0,X2,tc_nat) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11174_2) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24478,plain,
% 39.18/40.13      ( c_lessequals(X0,X1,tc_nat)
% 39.18/40.13      | ~ c_lessequals(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat)
% 39.18/40.13      | ~ c_less(c_0,X2,tc_nat) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5281]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24479,plain,
% 39.18/40.13      ( ~ c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 39.18/40.13      | c_lessequals(X0,X2,tc_nat)
% 39.18/40.13      | ~ c_less(c_0,X1,tc_nat) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24478]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5278,plain,
% 39.18/40.13      ( c_lessequals(X0,X1,tc_nat)
% 39.18/40.13      | ~ c_lessequals(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 39.18/40.13      | ~ c_less(c_0,X2,tc_nat) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11175_2) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24472,plain,
% 39.18/40.13      ( c_lessequals(X0,X1,tc_nat)
% 39.18/40.13      | ~ c_lessequals(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 39.18/40.13      | ~ c_less(c_0,X2,tc_nat) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5278]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24473,plain,
% 39.18/40.13      ( ~ c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 39.18/40.13      | c_lessequals(X1,X2,tc_nat)
% 39.18/40.13      | ~ c_less(c_0,X0,tc_nat) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24472]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5270,plain,
% 39.18/40.13      ( c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 39.18/40.13      | ~ 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)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11180_3) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24456,plain,
% 39.18/40.13      ( c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 39.18/40.13      | ~ 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)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5270]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24457,plain,
% 39.18/40.13      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.18/40.13      | ~ class_Numeral_Onumber__ring(X0)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 39.18/40.13      | ~ 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) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24456]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5264,plain,
% 39.18/40.13      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11181_5) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24444,plain,
% 39.18/40.13      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5264]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24445,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24444]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5258,plain,
% 39.18/40.13      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11182_5) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24432,plain,
% 39.18/40.13      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5258]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24433,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 39.18/40.13      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24432]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5252,plain,
% 39.18/40.13      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11183_5) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24420,plain,
% 39.18/40.13      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5252]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24421,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.13      | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24420]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5246,plain,
% 39.18/40.13      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11184_5) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24408,plain,
% 39.18/40.13      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5246]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24409,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.13      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24408]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5227,plain,
% 39.18/40.13      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_less(c_0,X2,X1)
% 39.18/40.13      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11196_5) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24370,plain,
% 39.18/40.13      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_less(c_0,X2,X1)
% 39.18/40.13      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5227]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24371,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 39.18/40.13      | c_less(c_0,X2,X0)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24370]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5221,plain,
% 39.18/40.13      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_less(X2,c_0,X1)
% 39.18/40.13      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11197_5) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24358,plain,
% 39.18/40.13      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_less(X2,c_0,X1)
% 39.18/40.13      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5221]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24359,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 39.18/40.13      | c_less(X2,c_0,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24358]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5215,plain,
% 39.18/40.13      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_lessequals(c_0,X2,X1)
% 39.18/40.13      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11198_5) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24346,plain,
% 39.18/40.13      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_lessequals(c_0,X2,X1)
% 39.18/40.13      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5215]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24347,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 39.18/40.13      | c_lessequals(c_0,X2,X0)
% 39.18/40.13      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24346]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5209,plain,
% 39.18/40.13      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_lessequals(X2,c_0,X1)
% 39.18/40.13      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11199_5) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24334,plain,
% 39.18/40.13      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_lessequals(X2,c_0,X1)
% 39.18/40.13      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5209]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24335,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 39.18/40.13      | c_lessequals(X2,c_0,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24334]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5203,plain,
% 39.18/40.13      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_less(X2,c_0,X1)
% 39.18/40.13      | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11200_5) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24322,plain,
% 39.18/40.13      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_less(X2,c_0,X1)
% 39.18/40.13      | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5203]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24323,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.13      | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 39.18/40.13      | c_less(X2,c_0,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24322]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5197,plain,
% 39.18/40.13      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_less(c_0,X2,X1)
% 39.18/40.13      | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11201_5) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24310,plain,
% 39.18/40.13      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_less(c_0,X2,X1)
% 39.18/40.13      | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5197]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24311,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | c_less(c_0,X2,X0)
% 39.18/40.13      | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24310]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5191,plain,
% 39.18/40.13      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_lessequals(X2,c_0,X1)
% 39.18/40.13      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11202_5) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24298,plain,
% 39.18/40.13      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_lessequals(X2,c_0,X1)
% 39.18/40.13      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5191]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24299,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.13      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 39.18/40.13      | c_lessequals(X2,c_0,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24298]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5185,plain,
% 39.18/40.13      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_lessequals(c_0,X2,X1)
% 39.18/40.13      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11203_5) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24286,plain,
% 39.18/40.13      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_lessequals(c_0,X2,X1)
% 39.18/40.13      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5185]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24287,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | c_lessequals(c_0,X2,X0)
% 39.18/40.13      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24286]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5166,plain,
% 39.18/40.13      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.13      | ~ c_less(X2,c_0,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11208_6) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24248,plain,
% 39.18/40.13      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.13      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.18/40.13      | ~ c_less(X2,c_0,X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.13      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5166]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24249,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.13      | ~ c_less(X2,c_0,X0)
% 39.18/40.13      | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24248]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5159,plain,
% 39.18/40.13      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 39.18/40.13      | ~ c_lessequals(X0,c_0,X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.13      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.13      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11209_6) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24234,plain,
% 39.18/40.13      ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 39.18/40.13      | ~ c_lessequals(X0,c_0,X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X3)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 39.18/40.13      | ~ class_Numeral_Onumber(X3) ),
% 39.18/40.13      inference(copy,[status(esa)],[c_5159]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_24235,plain,
% 39.18/40.13      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.13      | ~ c_lessequals(X1,c_0,X0)
% 39.18/40.13      | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.13      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.13      inference(rewriting,[status(thm)],[c_24234]) ).
% 39.18/40.13  
% 39.18/40.13  cnf(c_5152,plain,
% 39.18/40.13      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.13      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.13      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.13      | ~ c_less(c_0,X3,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.14      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11210_6) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24220,plain,
% 39.18/40.14      ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.14      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.14      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.14      | ~ c_less(c_0,X3,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.14      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5152]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24221,plain,
% 39.18/40.14      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.14      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.14      | ~ c_less(c_0,X2,X0)
% 39.18/40.14      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.14      | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_24220]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5145,plain,
% 39.18/40.14      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.14      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.14      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.14      | ~ c_lessequals(c_0,X3,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.14      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11211_6) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24206,plain,
% 39.18/40.14      ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 39.18/40.14      | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 39.18/40.14      | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 39.18/40.14      | ~ c_lessequals(c_0,X3,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.14      | ~ class_Numeral_Onumber(X2) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5145]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24207,plain,
% 39.18/40.14      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.14      | ~ c_lessequals(c_0,X1,X0)
% 39.18/40.14      | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 39.18/40.14      | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 39.18/40.14      | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_24206]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5143,plain,
% 39.18/40.14      ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 39.18/40.14      | c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2))
% 39.18/40.14      | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11218_1) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24202,plain,
% 39.18/40.14      ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 39.18/40.14      | c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2))
% 39.18/40.14      | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5143]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24203,plain,
% 39.18/40.14      ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 39.18/40.14      | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 39.18/40.14      | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_24202]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5124,plain,
% 39.18/40.14      ( c_less(c_0,X0,X1)
% 39.18/40.14      | c_less(X0,c_0,X1)
% 39.18/40.14      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11227_5) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24164,plain,
% 39.18/40.14      ( c_less(c_0,X0,X1)
% 39.18/40.14      | c_less(X0,c_0,X1)
% 39.18/40.14      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5124]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24165,plain,
% 39.18/40.14      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.14      | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 39.18/40.14      | c_less(c_0,X2,X0)
% 39.18/40.14      | c_less(X2,c_0,X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_24164]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5118,plain,
% 39.18/40.14      ( c_lessequals(c_0,X0,X1)
% 39.18/40.14      | c_lessequals(X0,c_0,X1)
% 39.18/40.14      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11228_5) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24152,plain,
% 39.18/40.14      ( c_lessequals(c_0,X0,X1)
% 39.18/40.14      | c_lessequals(X0,c_0,X1)
% 39.18/40.14      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5118]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24153,plain,
% 39.18/40.14      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.14      | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 39.18/40.14      | c_lessequals(c_0,X2,X0)
% 39.18/40.14      | c_lessequals(X2,c_0,X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_24152]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5112,plain,
% 39.18/40.14      ( c_less(c_0,X0,X1)
% 39.18/40.14      | c_less(X0,c_0,X1)
% 39.18/40.14      | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11229_5) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24140,plain,
% 39.18/40.14      ( c_less(c_0,X0,X1)
% 39.18/40.14      | c_less(X0,c_0,X1)
% 39.18/40.14      | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5112]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24141,plain,
% 39.18/40.14      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.14      | c_less(c_0,X1,X0)
% 39.18/40.14      | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 39.18/40.14      | c_less(X1,c_0,X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_24140]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5106,plain,
% 39.18/40.14      ( c_lessequals(c_0,X0,X1)
% 39.18/40.14      | c_lessequals(X0,c_0,X1)
% 39.18/40.14      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11230_5) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24128,plain,
% 39.18/40.14      ( c_lessequals(c_0,X0,X1)
% 39.18/40.14      | c_lessequals(X0,c_0,X1)
% 39.18/40.14      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5106]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24129,plain,
% 39.18/40.14      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.14      | c_lessequals(c_0,X1,X0)
% 39.18/40.14      | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 39.18/40.14      | c_lessequals(X1,c_0,X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_24128]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5104,plain,
% 39.18/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.18/40.14      | ~ c_lessequals(X1,X2,X0)
% 39.18/40.14      | c_lessequals(c_SetInterval_OatLeastLessThan(X3,X1,X0),c_SetInterval_OatLeastLessThan(X4,X2,X0),tc_set(X0))
% 39.18/40.14      | ~ c_lessequals(X4,X3,X0) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11232_1) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24124,plain,
% 39.18/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.18/40.14      | ~ c_lessequals(X1,X2,X0)
% 39.18/40.14      | c_lessequals(c_SetInterval_OatLeastLessThan(X3,X1,X0),c_SetInterval_OatLeastLessThan(X4,X2,X0),tc_set(X0))
% 39.18/40.14      | ~ c_lessequals(X4,X3,X0) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5104]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24125,plain,
% 39.18/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.18/40.14      | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 39.18/40.14      | ~ c_lessequals(X2,X4,X0)
% 39.18/40.14      | ~ c_lessequals(X3,X1,X0) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_24124]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5092,plain,
% 39.18/40.14      ( c_less(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 39.18/40.14      | ~ c_less(c_1,X0,X2)
% 39.18/40.14      | ~ c_less(X1,X3,tc_nat)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 39.18/40.14      | ~ class_Power_Orecpower(X2) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11235_4) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24100,plain,
% 39.18/40.14      ( c_less(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 39.18/40.14      | ~ c_less(c_1,X0,X2)
% 39.18/40.14      | ~ c_less(X1,X3,tc_nat)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 39.18/40.14      | ~ class_Power_Orecpower(X2) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5092]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24101,plain,
% 39.18/40.14      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.18/40.14      | ~ class_Power_Orecpower(X0)
% 39.18/40.14      | ~ c_less(c_1,X1,X0)
% 39.18/40.14      | c_less(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 39.18/40.14      | ~ c_less(X2,X3,tc_nat) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_24100]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5087,plain,
% 39.18/40.14      ( c_lessequals(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 39.18/40.14      | ~ c_lessequals(X1,X3,tc_nat)
% 39.18/40.14      | ~ c_less(c_1,X0,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 39.18/40.14      | ~ class_Power_Orecpower(X2) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11236_4) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24090,plain,
% 39.18/40.14      ( c_lessequals(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 39.18/40.14      | ~ c_lessequals(X1,X3,tc_nat)
% 39.18/40.14      | ~ c_less(c_1,X0,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 39.18/40.14      | ~ class_Power_Orecpower(X2) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5087]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24091,plain,
% 39.18/40.14      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.18/40.14      | ~ class_Power_Orecpower(X0)
% 39.18/40.14      | c_lessequals(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 39.18/40.14      | ~ c_lessequals(X2,X3,tc_nat)
% 39.18/40.14      | ~ c_less(c_1,X1,X0) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_24090]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5081,plain,
% 39.18/40.14      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 39.18/40.14      | ~ 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)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11238_3) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24078,plain,
% 39.18/40.14      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 39.18/40.14      | ~ 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)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5081]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24079,plain,
% 39.18/40.14      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.18/40.14      | ~ class_Numeral_Onumber__ring(X0)
% 39.18/40.14      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 39.18/40.14      | ~ 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) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_24078]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5073,plain,
% 39.18/40.14      ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 39.18/40.14      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.14      | ~ c_less(X2,c_0,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11240_5) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24062,plain,
% 39.18/40.14      ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 39.18/40.14      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.14      | ~ c_less(X2,c_0,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5073]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24063,plain,
% 39.18/40.14      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.14      | c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 39.18/40.14      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.14      | ~ c_less(X2,c_0,X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_24062]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5067,plain,
% 39.18/40.14      ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 39.18/40.14      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.14      | ~ c_less(c_0,X2,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11241_5) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24050,plain,
% 39.18/40.14      ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 39.18/40.14      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.14      | ~ c_less(c_0,X2,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5067]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24051,plain,
% 39.18/40.14      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.14      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.14      | c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 39.18/40.14      | ~ c_less(c_0,X2,X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_24050]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5061,plain,
% 39.18/40.14      ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 39.18/40.14      | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.14      | ~ c_lessequals(X2,c_0,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11242_5) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24038,plain,
% 39.18/40.14      ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 39.18/40.14      | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.14      | ~ c_lessequals(X2,c_0,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5061]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24039,plain,
% 39.18/40.14      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.14      | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 39.18/40.14      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.18/40.14      | ~ c_lessequals(X2,c_0,X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_24038]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5055,plain,
% 39.18/40.14      ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 39.18/40.14      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.14      | ~ c_lessequals(c_0,X2,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11243_5) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24026,plain,
% 39.18/40.14      ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 39.18/40.14      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.14      | ~ c_lessequals(c_0,X2,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5055]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24027,plain,
% 39.18/40.14      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.14      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.14      | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 39.18/40.14      | ~ c_lessequals(c_0,X2,X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_24026]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5049,plain,
% 39.18/40.14      ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 39.18/40.14      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.14      | ~ c_less(c_0,X2,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11244_5) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24014,plain,
% 39.18/40.14      ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 39.18/40.14      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.14      | ~ c_less(c_0,X2,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5049]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24015,plain,
% 39.18/40.14      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.14      | ~ c_less(c_0,X1,X0)
% 39.18/40.14      | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 39.18/40.14      | c_less(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_24014]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5043,plain,
% 39.18/40.14      ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 39.18/40.14      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.14      | ~ c_less(X2,c_0,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11245_5) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24002,plain,
% 39.18/40.14      ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 39.18/40.14      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.14      | ~ c_less(X2,c_0,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5043]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_24003,plain,
% 39.18/40.14      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.14      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.14      | c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 39.18/40.14      | ~ c_less(X2,c_0,X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_24002]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5037,plain,
% 39.18/40.14      ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 39.18/40.14      | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.14      | ~ c_lessequals(c_0,X2,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11246_5) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23990,plain,
% 39.18/40.14      ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 39.18/40.14      | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.18/40.14      | ~ c_lessequals(c_0,X2,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5037]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23991,plain,
% 39.18/40.14      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.14      | ~ c_lessequals(c_0,X1,X0)
% 39.18/40.14      | ~ c_lessequals(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 39.18/40.14      | c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23990]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5031,plain,
% 39.18/40.14      ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 39.18/40.14      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.14      | ~ c_lessequals(X2,c_0,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11247_5) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23978,plain,
% 39.18/40.14      ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 39.18/40.14      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.14      | ~ c_lessequals(X2,c_0,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber(X1) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5031]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23979,plain,
% 39.18/40.14      ( ~ class_Numeral_Onumber(X0)
% 39.18/40.14      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.14      | c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 39.18/40.14      | ~ c_lessequals(X2,c_0,X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23978]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5025,plain,
% 39.18/40.14      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.18/40.14      | c_less(c_0,X1,X2)
% 39.18/40.14      | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 39.18/40.14      | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.18/40.14      | ~ class_Power_Orecpower(X2) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11248_5) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23966,plain,
% 39.18/40.14      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.18/40.14      | c_less(c_0,X1,X2)
% 39.18/40.14      | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 39.18/40.14      | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.18/40.14      | ~ class_Power_Orecpower(X2) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5025]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23967,plain,
% 39.18/40.14      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.18/40.14      | ~ class_Power_Orecpower(X0)
% 39.18/40.14      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.18/40.14      | ~ c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 39.18/40.14      | c_less(c_0,X2,X0)
% 39.18/40.14      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23966]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5020,plain,
% 39.18/40.14      ( X0 = c_emptyset
% 39.18/40.14      | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 39.18/40.14      | ~ c_less(X1,c_Main_OMin__gr__iff__1(X0,X1,X2),X2)
% 39.18/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 39.18/40.14      | ~ class_Orderings_Olinorder(X2) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11249_4) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23956,plain,
% 39.18/40.14      ( X0 = c_emptyset
% 39.18/40.14      | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 39.18/40.14      | ~ c_less(X1,c_Main_OMin__gr__iff__1(X0,X1,X2),X2)
% 39.18/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 39.18/40.14      | ~ class_Orderings_Olinorder(X2) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5020]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23957,plain,
% 39.18/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.18/40.14      | c_less(X1,c_Finite__Set_OMin(X2,X0),X0)
% 39.18/40.14      | ~ c_less(X1,c_Main_OMin__gr__iff__1(X2,X1,X0),X0)
% 39.18/40.14      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 39.18/40.14      | X2 = c_emptyset ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23956]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5015,plain,
% 39.18/40.14      ( X0 = c_emptyset
% 39.18/40.14      | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 39.18/40.14      | ~ c_lessequals(X1,c_Main_OMin__ge__iff__1(X0,X1,X2),X2)
% 39.18/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 39.18/40.14      | ~ class_Orderings_Olinorder(X2) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11250_4) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23946,plain,
% 39.18/40.14      ( X0 = c_emptyset
% 39.18/40.14      | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 39.18/40.14      | ~ c_lessequals(X1,c_Main_OMin__ge__iff__1(X0,X1,X2),X2)
% 39.18/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 39.18/40.14      | ~ class_Orderings_Olinorder(X2) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5015]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23947,plain,
% 39.18/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.18/40.14      | c_lessequals(X1,c_Finite__Set_OMin(X2,X0),X0)
% 39.18/40.14      | ~ c_lessequals(X1,c_Main_OMin__ge__iff__1(X2,X1,X0),X0)
% 39.18/40.14      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 39.18/40.14      | X2 = c_emptyset ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23946]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5010,plain,
% 39.18/40.14      ( X0 = c_emptyset
% 39.18/40.14      | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 39.18/40.14      | ~ c_less(c_Main_OMax__less__iff__1(X0,X2,X1),X2,X1)
% 39.18/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.18/40.14      | ~ class_Orderings_Olinorder(X1) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11251_4) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23936,plain,
% 39.18/40.14      ( X0 = c_emptyset
% 39.18/40.14      | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 39.18/40.14      | ~ c_less(c_Main_OMax__less__iff__1(X0,X2,X1),X2,X1)
% 39.18/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.18/40.14      | ~ class_Orderings_Olinorder(X1) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5010]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23937,plain,
% 39.18/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.18/40.14      | c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 39.18/40.14      | ~ c_less(c_Main_OMax__less__iff__1(X1,X2,X0),X2,X0)
% 39.18/40.14      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 39.18/40.14      | X1 = c_emptyset ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23936]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5005,plain,
% 39.18/40.14      ( X0 = c_emptyset
% 39.18/40.14      | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 39.18/40.14      | ~ c_lessequals(c_Main_OMax__le__iff__1(X0,X2,X1),X2,X1)
% 39.18/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.18/40.14      | ~ class_Orderings_Olinorder(X1) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11252_4) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23926,plain,
% 39.18/40.14      ( X0 = c_emptyset
% 39.18/40.14      | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 39.18/40.14      | ~ c_lessequals(c_Main_OMax__le__iff__1(X0,X2,X1),X2,X1)
% 39.18/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.18/40.14      | ~ class_Orderings_Olinorder(X1) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5005]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23927,plain,
% 39.18/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.18/40.14      | c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 39.18/40.14      | ~ c_lessequals(c_Main_OMax__le__iff__1(X1,X2,X0),X2,X0)
% 39.18/40.14      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 39.18/40.14      | X1 = c_emptyset ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23926]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_5000,plain,
% 39.18/40.14      ( c_lessequals(c_0,X0,X1)
% 39.18/40.14      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 39.18/40.14      | ~ c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.18/40.14      | ~ class_Power_Orecpower(X1) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11257_4) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23916,plain,
% 39.18/40.14      ( c_lessequals(c_0,X0,X1)
% 39.18/40.14      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 39.18/40.14      | ~ c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.18/40.14      | ~ class_Power_Orecpower(X1) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_5000]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23917,plain,
% 39.18/40.14      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.18/40.14      | ~ class_Power_Orecpower(X0)
% 39.18/40.14      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.18/40.14      | ~ c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 39.18/40.14      | c_lessequals(c_0,X2,X0) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23916]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_4995,plain,
% 39.18/40.14      ( c_lessequals(X0,c_0,X1)
% 39.18/40.14      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 39.18/40.14      | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.18/40.14      | ~ class_Power_Orecpower(X1) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11258_4) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23906,plain,
% 39.18/40.14      ( c_lessequals(X0,c_0,X1)
% 39.18/40.14      | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 39.18/40.14      | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.18/40.14      | ~ class_Power_Orecpower(X1) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_4995]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23907,plain,
% 39.18/40.14      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.18/40.14      | ~ class_Power_Orecpower(X0)
% 39.18/40.14      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.18/40.14      | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 39.18/40.14      | c_lessequals(X2,c_0,X0) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23906]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_4992,plain,
% 39.18/40.14      ( c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 39.18/40.14      | ~ c_less(c_0,X1,tc_nat)
% 39.18/40.14      | ~ c_less(X0,X2,tc_nat) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11259_2) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23900,plain,
% 39.18/40.14      ( c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 39.18/40.14      | ~ c_less(c_0,X1,tc_nat)
% 39.18/40.14      | ~ c_less(X0,X2,tc_nat) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_4992]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23901,plain,
% 39.18/40.14      ( ~ c_less(c_0,X0,tc_nat)
% 39.18/40.14      | c_less(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat)
% 39.18/40.14      | ~ c_less(X1,X2,tc_nat) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23900]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_4989,plain,
% 39.18/40.14      ( c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 39.18/40.14      | ~ c_less(c_0,X0,tc_nat)
% 39.18/40.14      | ~ c_less(X1,X2,tc_nat) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11260_2) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23894,plain,
% 39.18/40.14      ( c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 39.18/40.14      | ~ c_less(c_0,X0,tc_nat)
% 39.18/40.14      | ~ c_less(X1,X2,tc_nat) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_4989]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23895,plain,
% 39.18/40.14      ( ~ c_less(c_0,X0,tc_nat)
% 39.18/40.14      | c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 39.18/40.14      | ~ c_less(X1,X2,tc_nat) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23894]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_4977,plain,
% 39.18/40.14      ( 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)
% 39.18/40.14      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11271_3) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23870,plain,
% 39.18/40.14      ( 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)
% 39.18/40.14      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_4977]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23871,plain,
% 39.18/40.14      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.18/40.14      | ~ class_Numeral_Onumber__ring(X0)
% 39.18/40.14      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 39.18/40.14      | 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) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23870]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_4970,plain,
% 39.18/40.14      ( c_less(X0,X1,X2)
% 39.18/40.14      | ~ c_less(c_1,c_divide(X1,X0,X2),X2)
% 39.18/40.14      | ~ c_less(c_0,X0,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11274_4) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23856,plain,
% 39.18/40.14      ( c_less(X0,X1,X2)
% 39.18/40.14      | ~ c_less(c_1,c_divide(X1,X0,X2),X2)
% 39.18/40.14      | ~ c_less(c_0,X0,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_4970]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23857,plain,
% 39.18/40.14      ( ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 39.18/40.14      | ~ c_less(c_0,X1,X2)
% 39.18/40.14      | c_less(X1,X0,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23856]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_4965,plain,
% 39.18/40.14      ( c_less(X0,X1,X2)
% 39.18/40.14      | ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 39.18/40.14      | ~ c_less(X1,c_0,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11275_4) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23846,plain,
% 39.18/40.14      ( c_less(X0,X1,X2)
% 39.18/40.14      | ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 39.18/40.14      | ~ c_less(X1,c_0,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_4965]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23847,plain,
% 39.18/40.14      ( ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 39.18/40.14      | ~ c_less(X1,c_0,X2)
% 39.18/40.14      | c_less(X0,X1,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23846]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_4960,plain,
% 39.18/40.14      ( c_lessequals(X0,X1,X2)
% 39.18/40.14      | ~ c_lessequals(c_1,c_divide(X1,X0,X2),X2)
% 39.18/40.14      | ~ c_less(c_0,X0,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11276_4) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23836,plain,
% 39.18/40.14      ( c_lessequals(X0,X1,X2)
% 39.18/40.14      | ~ c_lessequals(c_1,c_divide(X1,X0,X2),X2)
% 39.18/40.14      | ~ c_less(c_0,X0,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_4960]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23837,plain,
% 39.18/40.14      ( ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 39.18/40.14      | c_lessequals(X1,X0,X2)
% 39.18/40.14      | ~ c_less(c_0,X1,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23836]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_4955,plain,
% 39.18/40.14      ( c_lessequals(X0,X1,X2)
% 39.18/40.14      | ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 39.18/40.14      | ~ c_less(X1,c_0,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11277_4) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23826,plain,
% 39.18/40.14      ( c_lessequals(X0,X1,X2)
% 39.18/40.14      | ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 39.18/40.14      | ~ c_less(X1,c_0,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_4955]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23827,plain,
% 39.18/40.14      ( ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 39.18/40.14      | c_lessequals(X0,X1,X2)
% 39.18/40.14      | ~ c_less(X1,c_0,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23826]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_4950,plain,
% 39.18/40.14      ( c_less(X0,X1,X2)
% 39.18/40.14      | ~ c_less(c_divide(X0,X1,X2),c_1,X2)
% 39.18/40.14      | ~ c_less(c_0,X1,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11278_4) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23816,plain,
% 39.18/40.14      ( c_less(X0,X1,X2)
% 39.18/40.14      | ~ c_less(c_divide(X0,X1,X2),c_1,X2)
% 39.18/40.14      | ~ c_less(c_0,X1,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_4950]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23817,plain,
% 39.18/40.14      ( ~ c_less(c_0,X0,X1)
% 39.18/40.14      | ~ c_less(c_divide(X2,X0,X1),c_1,X1)
% 39.18/40.14      | c_less(X2,X0,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23816]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_4945,plain,
% 39.18/40.14      ( c_less(X0,X1,X2)
% 39.18/40.14      | ~ c_less(c_divide(X1,X0,X2),c_1,X2)
% 39.18/40.14      | ~ c_less(X0,c_0,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11279_4) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23806,plain,
% 39.18/40.14      ( c_less(X0,X1,X2)
% 39.18/40.14      | ~ c_less(c_divide(X1,X0,X2),c_1,X2)
% 39.18/40.14      | ~ c_less(X0,c_0,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_4945]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23807,plain,
% 39.18/40.14      ( ~ c_less(c_divide(X0,X1,X2),c_1,X2)
% 39.18/40.14      | ~ c_less(X1,c_0,X2)
% 39.18/40.14      | c_less(X1,X0,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23806]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_4940,plain,
% 39.18/40.14      ( c_lessequals(X0,X1,X2)
% 39.18/40.14      | ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 39.18/40.14      | ~ c_less(c_0,X1,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11280_4) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23796,plain,
% 39.18/40.14      ( c_lessequals(X0,X1,X2)
% 39.18/40.14      | ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 39.18/40.14      | ~ c_less(c_0,X1,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_4940]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23797,plain,
% 39.18/40.14      ( ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 39.18/40.14      | c_lessequals(X0,X1,X2)
% 39.18/40.14      | ~ c_less(c_0,X1,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23796]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_4935,plain,
% 39.18/40.14      ( c_lessequals(X0,X1,X2)
% 39.18/40.14      | ~ c_lessequals(c_divide(X1,X0,X2),c_1,X2)
% 39.18/40.14      | ~ c_less(X0,c_0,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11281_4) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23786,plain,
% 39.18/40.14      ( c_lessequals(X0,X1,X2)
% 39.18/40.14      | ~ c_lessequals(c_divide(X1,X0,X2),c_1,X2)
% 39.18/40.14      | ~ c_less(X0,c_0,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_4935]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23787,plain,
% 39.18/40.14      ( ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 39.18/40.14      | c_lessequals(X1,X0,X2)
% 39.18/40.14      | ~ c_less(X1,c_0,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23786]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_4926,plain,
% 39.18/40.14      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.18/40.14      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 39.18/40.14      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.18/40.14      | ~ class_Power_Orecpower(X1) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11284_4) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23768,plain,
% 39.18/40.14      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.18/40.14      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 39.18/40.14      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.18/40.14      | ~ class_Power_Orecpower(X1) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_4926]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23769,plain,
% 39.18/40.14      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.18/40.14      | ~ class_Power_Orecpower(X0)
% 39.18/40.14      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.18/40.14      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 39.18/40.14      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23768]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_4922,plain,
% 39.18/40.14      ( c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.14      | ~ 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)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11285_3) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23760,plain,
% 39.18/40.14      ( c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 39.18/40.14      | ~ 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)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.18/40.14      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_4922]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23761,plain,
% 39.18/40.14      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.18/40.14      | ~ class_Numeral_Onumber__ring(X0)
% 39.18/40.14      | c_less(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 39.18/40.14      | ~ 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) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23760]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_4913,plain,
% 39.18/40.14      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.18/40.14      | c_less(c_0,c_0,X1)
% 39.18/40.14      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.18/40.14      | ~ class_Power_Orecpower(X1) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11288_4) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23742,plain,
% 39.18/40.14      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.18/40.14      | c_less(c_0,c_0,X1)
% 39.18/40.14      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.18/40.14      | ~ class_Power_Orecpower(X1) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_4913]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23743,plain,
% 39.18/40.14      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.18/40.14      | ~ class_Power_Orecpower(X0)
% 39.18/40.14      | c_less(c_0,c_0,X0)
% 39.18/40.14      | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 39.18/40.14      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23742]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_4910,plain,
% 39.18/40.14      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 39.18/40.14      | ~ c_less(X1,c_0,X0)
% 39.18/40.14      | c_less(X1,X2,X0)
% 39.18/40.14      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 39.18/40.14      | ~ c_less(X2,c_0,X0) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11289_2) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23736,plain,
% 39.18/40.14      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 39.18/40.14      | ~ c_less(X1,c_0,X0)
% 39.18/40.14      | c_less(X1,X2,X0)
% 39.18/40.14      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 39.18/40.14      | ~ c_less(X2,c_0,X0) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_4910]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23737,plain,
% 39.18/40.14      ( ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 39.18/40.14      | ~ c_less(X2,c_0,X1)
% 39.18/40.14      | ~ c_less(X0,c_0,X1)
% 39.18/40.14      | c_less(X2,X0,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23736]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_4908,plain,
% 39.18/40.14      ( c_less(X0,X1,X2)
% 39.18/40.14      | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 39.18/40.14      | ~ c_less(X1,c_0,X2)
% 39.18/40.14      | ~ c_less(X0,c_0,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11289_4) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23732,plain,
% 39.18/40.14      ( c_less(X0,X1,X2)
% 39.18/40.14      | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 39.18/40.14      | ~ c_less(X1,c_0,X2)
% 39.18/40.14      | ~ c_less(X0,c_0,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_4908]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23733,plain,
% 39.18/40.14      ( ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 39.18/40.14      | ~ c_less(X0,c_0,X1)
% 39.18/40.14      | ~ c_less(X2,c_0,X1)
% 39.18/40.14      | c_less(X2,X0,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23732]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_4905,plain,
% 39.18/40.14      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 39.18/40.14      | ~ c_less(c_0,X1,X0)
% 39.18/40.14      | c_less(X1,X2,X0)
% 39.18/40.14      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 39.18/40.14      | ~ c_less(c_0,X2,X0) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11290_2) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23726,plain,
% 39.18/40.14      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 39.18/40.14      | ~ c_less(c_0,X1,X0)
% 39.18/40.14      | c_less(X1,X2,X0)
% 39.18/40.14      | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 39.18/40.14      | ~ c_less(c_0,X2,X0) ),
% 39.18/40.14      inference(copy,[status(esa)],[c_4905]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23727,plain,
% 39.18/40.14      ( ~ c_less(c_0,X0,X1)
% 39.18/40.14      | ~ c_less(c_0,X2,X1)
% 39.18/40.14      | ~ c_less(c_HOL_Oinverse(X2,X1),c_HOL_Oinverse(X0,X1),X1)
% 39.18/40.14      | c_less(X0,X2,X1)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.18/40.14      inference(rewriting,[status(thm)],[c_23726]) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_4903,plain,
% 39.18/40.14      ( c_less(X0,X1,X2)
% 39.18/40.14      | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 39.18/40.14      | ~ c_less(c_0,X1,X2)
% 39.18/40.14      | ~ c_less(c_0,X0,X2)
% 39.18/40.14      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 39.18/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11290_4) ).
% 39.18/40.14  
% 39.18/40.14  cnf(c_23722,plain,
% 39.18/40.14      ( c_less(X0,X1,X2)
% 39.18/40.14      | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 39.28/40.14      | ~ c_less(c_0,X1,X2)
% 39.28/40.14      | ~ c_less(c_0,X0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4903]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23723,plain,
% 39.28/40.14      ( ~ c_less(c_0,X0,X1)
% 39.28/40.14      | ~ c_less(c_0,X2,X1)
% 39.28/40.14      | ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 39.28/40.14      | c_less(X2,X0,X1)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23722]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4900,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 39.28/40.14      | ~ c_less(X1,c_0,X0)
% 39.28/40.14      | c_lessequals(X1,X2,X0)
% 39.28/40.14      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 39.28/40.14      | ~ c_less(X2,c_0,X0) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11291_2) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23716,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 39.28/40.14      | ~ c_less(X1,c_0,X0)
% 39.28/40.14      | c_lessequals(X1,X2,X0)
% 39.28/40.14      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 39.28/40.14      | ~ c_less(X2,c_0,X0) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4900]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23717,plain,
% 39.28/40.14      ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 39.28/40.14      | c_lessequals(X2,X0,X1)
% 39.28/40.14      | ~ c_less(X2,c_0,X1)
% 39.28/40.14      | ~ c_less(X0,c_0,X1)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23716]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4898,plain,
% 39.28/40.14      ( c_lessequals(X0,X1,X2)
% 39.28/40.14      | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 39.28/40.14      | ~ c_less(X1,c_0,X2)
% 39.28/40.14      | ~ c_less(X0,c_0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11291_4) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23712,plain,
% 39.28/40.14      ( c_lessequals(X0,X1,X2)
% 39.28/40.14      | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 39.28/40.14      | ~ c_less(X1,c_0,X2)
% 39.28/40.14      | ~ c_less(X0,c_0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4898]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23713,plain,
% 39.28/40.14      ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 39.28/40.14      | c_lessequals(X2,X0,X1)
% 39.28/40.14      | ~ c_less(X0,c_0,X1)
% 39.28/40.14      | ~ c_less(X2,c_0,X1)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23712]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4895,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 39.28/40.14      | ~ c_less(c_0,X1,X0)
% 39.28/40.14      | c_lessequals(X1,X2,X0)
% 39.28/40.14      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 39.28/40.14      | ~ c_less(c_0,X2,X0) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11292_2) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23706,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 39.28/40.14      | ~ c_less(c_0,X1,X0)
% 39.28/40.14      | c_lessequals(X1,X2,X0)
% 39.28/40.14      | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 39.28/40.14      | ~ c_less(c_0,X2,X0) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4895]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23707,plain,
% 39.28/40.14      ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 39.28/40.14      | c_lessequals(X2,X0,X1)
% 39.28/40.14      | ~ c_less(c_0,X2,X1)
% 39.28/40.14      | ~ c_less(c_0,X0,X1)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23706]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4893,plain,
% 39.28/40.14      ( c_lessequals(X0,X1,X2)
% 39.28/40.14      | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 39.28/40.14      | ~ c_less(c_0,X1,X2)
% 39.28/40.14      | ~ c_less(c_0,X0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11292_4) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23702,plain,
% 39.28/40.14      ( c_lessequals(X0,X1,X2)
% 39.28/40.14      | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 39.28/40.14      | ~ c_less(c_0,X1,X2)
% 39.28/40.14      | ~ c_less(c_0,X0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4893]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23703,plain,
% 39.28/40.14      ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 39.28/40.14      | c_lessequals(X2,X0,X1)
% 39.28/40.14      | ~ c_less(c_0,X0,X1)
% 39.28/40.14      | ~ c_less(c_0,X2,X1)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23702]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4882,plain,
% 39.28/40.14      ( X0 = c_0
% 39.28/40.14      | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 39.28/40.14      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.14      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11296_4) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23680,plain,
% 39.28/40.14      ( X0 = c_0
% 39.28/40.14      | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 39.28/40.14      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.14      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4882]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23681,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.14      | ~ class_Power_Orecpower(X0)
% 39.28/40.14      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.14      | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 39.28/40.14      | X2 = c_0 ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23680]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4874,plain,
% 39.28/40.14      ( ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 39.28/40.14      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.14      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11300_3) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23664,plain,
% 39.28/40.14      ( ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 39.28/40.14      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.14      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4874]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23665,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.14      | ~ class_Power_Orecpower(X0)
% 39.28/40.14      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.14      | ~ c_less(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23664]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4867,plain,
% 39.28/40.14      ( X0 = c_0
% 39.28/40.14      | c_lessequals(X0,c_0,X1)
% 39.28/40.14      | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.14      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11302_4) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23650,plain,
% 39.28/40.14      ( X0 = c_0
% 39.28/40.14      | c_lessequals(X0,c_0,X1)
% 39.28/40.14      | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.14      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4867]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23651,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.14      | ~ class_Power_Orecpower(X0)
% 39.28/40.14      | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 39.28/40.14      | c_lessequals(X1,c_0,X0)
% 39.28/40.14      | X1 = c_0 ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23650]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4861,plain,
% 39.28/40.14      ( c_less(X0,c_0,X1)
% 39.28/40.14      | ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.14      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11304_3) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23638,plain,
% 39.28/40.14      ( c_less(X0,c_0,X1)
% 39.28/40.14      | ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.14      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4861]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23639,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.14      | ~ class_Power_Orecpower(X0)
% 39.28/40.14      | ~ c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 39.28/40.14      | c_less(X1,c_0,X0) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23638]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4838,plain,
% 39.28/40.14      ( X0 = c_emptyset
% 39.28/40.14      | c_less(X1,X2,X3)
% 39.28/40.14      | ~ c_less(X1,c_Finite__Set_OMin(X0,X3),X3)
% 39.28/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 39.28/40.14      | ~ c_in(X2,X0,X3)
% 39.28/40.14      | ~ class_Orderings_Olinorder(X3) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11313_5) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23592,plain,
% 39.28/40.14      ( X0 = c_emptyset
% 39.28/40.14      | c_less(X1,X2,X3)
% 39.28/40.14      | ~ c_less(X1,c_Finite__Set_OMin(X0,X3),X3)
% 39.28/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 39.28/40.14      | ~ c_in(X2,X0,X3)
% 39.28/40.14      | ~ class_Orderings_Olinorder(X3) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4838]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23593,plain,
% 39.28/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.14      | ~ c_less(X1,c_Finite__Set_OMin(X2,X0),X0)
% 39.28/40.14      | c_less(X1,X3,X0)
% 39.28/40.14      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 39.28/40.14      | ~ c_in(X3,X2,X0)
% 39.28/40.14      | X2 = c_emptyset ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23592]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4832,plain,
% 39.28/40.14      ( X0 = c_emptyset
% 39.28/40.14      | c_lessequals(X1,X2,X3)
% 39.28/40.14      | ~ c_lessequals(X1,c_Finite__Set_OMin(X0,X3),X3)
% 39.28/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 39.28/40.14      | ~ c_in(X2,X0,X3)
% 39.28/40.14      | ~ class_Orderings_Olinorder(X3) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11314_5) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23580,plain,
% 39.28/40.14      ( X0 = c_emptyset
% 39.28/40.14      | c_lessequals(X1,X2,X3)
% 39.28/40.14      | ~ c_lessequals(X1,c_Finite__Set_OMin(X0,X3),X3)
% 39.28/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 39.28/40.14      | ~ c_in(X2,X0,X3)
% 39.28/40.14      | ~ class_Orderings_Olinorder(X3) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4832]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23581,plain,
% 39.28/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.14      | ~ c_lessequals(X1,c_Finite__Set_OMin(X2,X0),X0)
% 39.28/40.14      | c_lessequals(X1,X3,X0)
% 39.28/40.14      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 39.28/40.14      | ~ c_in(X3,X2,X0)
% 39.28/40.14      | X2 = c_emptyset ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23580]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4826,plain,
% 39.28/40.14      ( X0 = c_emptyset
% 39.28/40.14      | c_less(X1,X2,X3)
% 39.28/40.14      | ~ c_less(c_Finite__Set_OMax(X0,X3),X2,X3)
% 39.28/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 39.28/40.14      | ~ c_in(X1,X0,X3)
% 39.28/40.14      | ~ class_Orderings_Olinorder(X3) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11315_5) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23568,plain,
% 39.28/40.14      ( X0 = c_emptyset
% 39.28/40.14      | c_less(X1,X2,X3)
% 39.28/40.14      | ~ c_less(c_Finite__Set_OMax(X0,X3),X2,X3)
% 39.28/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 39.28/40.14      | ~ c_in(X1,X0,X3)
% 39.28/40.14      | ~ class_Orderings_Olinorder(X3) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4826]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23569,plain,
% 39.28/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.14      | ~ c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 39.28/40.14      | c_less(X3,X2,X0)
% 39.28/40.14      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 39.28/40.14      | ~ c_in(X3,X1,X0)
% 39.28/40.14      | X1 = c_emptyset ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23568]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4820,plain,
% 39.28/40.14      ( X0 = c_emptyset
% 39.28/40.14      | c_lessequals(X1,X2,X3)
% 39.28/40.14      | ~ c_lessequals(c_Finite__Set_OMax(X0,X3),X2,X3)
% 39.28/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 39.28/40.14      | ~ c_in(X1,X0,X3)
% 39.28/40.14      | ~ class_Orderings_Olinorder(X3) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11316_5) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23556,plain,
% 39.28/40.14      ( X0 = c_emptyset
% 39.28/40.14      | c_lessequals(X1,X2,X3)
% 39.28/40.14      | ~ c_lessequals(c_Finite__Set_OMax(X0,X3),X2,X3)
% 39.28/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 39.28/40.14      | ~ c_in(X1,X0,X3)
% 39.28/40.14      | ~ class_Orderings_Olinorder(X3) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4820]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23557,plain,
% 39.28/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.14      | ~ c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 39.28/40.14      | c_lessequals(X3,X2,X0)
% 39.28/40.14      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 39.28/40.14      | ~ c_in(X3,X1,X0)
% 39.28/40.14      | X1 = c_emptyset ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23556]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4817,plain,
% 39.28/40.14      ( 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)
% 39.28/40.14      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.14      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11317_2) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23550,plain,
% 39.28/40.14      ( 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)
% 39.28/40.14      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.14      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4817]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23551,plain,
% 39.28/40.14      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.14      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.14      | 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) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23550]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4813,plain,
% 39.28/40.14      ( c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.14      | 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)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.14      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11318_3) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23542,plain,
% 39.28/40.14      ( c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.14      | 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)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.14      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4813]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23543,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.14      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.14      | c_lessequals(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 39.28/40.14      | 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) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23542]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4808,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 39.28/40.14      | ~ c_less(X1,X2,X0)
% 39.28/40.14      | ~ c_less(X1,c_0,X0)
% 39.28/40.14      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 39.28/40.14      | ~ c_less(X2,c_0,X0) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11320_1) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23532,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 39.28/40.14      | ~ c_less(X1,X2,X0)
% 39.28/40.14      | ~ c_less(X1,c_0,X0)
% 39.28/40.14      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 39.28/40.14      | ~ c_less(X2,c_0,X0) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4808]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23533,plain,
% 39.28/40.14      ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 39.28/40.14      | ~ c_less(X2,c_0,X1)
% 39.28/40.14      | ~ c_less(X0,c_0,X1)
% 39.28/40.14      | ~ c_less(X2,X0,X1)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23532]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4803,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 39.28/40.14      | ~ c_less(X1,X2,X0)
% 39.28/40.14      | ~ c_less(c_0,X1,X0)
% 39.28/40.14      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 39.28/40.14      | ~ c_less(c_0,X2,X0) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11321_1) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23522,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 39.28/40.14      | ~ c_less(X1,X2,X0)
% 39.28/40.14      | ~ c_less(c_0,X1,X0)
% 39.28/40.14      | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 39.28/40.14      | ~ c_less(c_0,X2,X0) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4803]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23523,plain,
% 39.28/40.14      ( ~ c_less(c_0,X0,X1)
% 39.28/40.14      | ~ c_less(c_0,X2,X1)
% 39.28/40.14      | c_less(c_HOL_Oinverse(X2,X1),c_HOL_Oinverse(X0,X1),X1)
% 39.28/40.14      | ~ c_less(X0,X2,X1)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23522]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4800,plain,
% 39.28/40.14      ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 39.28/40.14      | ~ c_less(c_0,X0,X1)
% 39.28/40.14      | ~ c_less(c_0,X2,X1)
% 39.28/40.14      | ~ c_less(X2,X0,X1)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11321_4) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23516,plain,
% 39.28/40.14      ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 39.28/40.14      | ~ c_less(c_0,X0,X1)
% 39.28/40.14      | ~ c_less(c_0,X2,X1)
% 39.28/40.14      | ~ c_less(X2,X0,X1)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4800]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23517,plain,
% 39.28/40.14      ( ~ c_less(c_0,X0,X1)
% 39.28/40.14      | ~ c_less(c_0,X2,X1)
% 39.28/40.14      | c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 39.28/40.14      | ~ c_less(X2,X0,X1)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23516]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4797,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 39.28/40.14      | ~ c_less(X1,c_0,X0)
% 39.28/40.14      | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 39.28/40.14      | ~ c_lessequals(X1,X2,X0)
% 39.28/40.14      | ~ c_less(X2,c_0,X0) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11322_2) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23510,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 39.28/40.14      | ~ c_less(X1,c_0,X0)
% 39.28/40.14      | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 39.28/40.14      | ~ c_lessequals(X1,X2,X0)
% 39.28/40.14      | ~ c_less(X2,c_0,X0) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4797]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23511,plain,
% 39.28/40.14      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 39.28/40.14      | ~ c_lessequals(X2,X0,X1)
% 39.28/40.14      | ~ c_less(X2,c_0,X1)
% 39.28/40.14      | ~ c_less(X0,c_0,X1)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23510]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4792,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 39.28/40.14      | ~ c_less(c_0,X1,X0)
% 39.28/40.14      | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 39.28/40.14      | ~ c_lessequals(X1,X2,X0)
% 39.28/40.14      | ~ c_less(c_0,X2,X0) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11323_2) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23500,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 39.28/40.14      | ~ c_less(c_0,X1,X0)
% 39.28/40.14      | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 39.28/40.14      | ~ c_lessequals(X1,X2,X0)
% 39.28/40.14      | ~ c_less(c_0,X2,X0) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4792]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23501,plain,
% 39.28/40.14      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 39.28/40.14      | ~ c_lessequals(X2,X0,X1)
% 39.28/40.14      | ~ c_less(c_0,X2,X1)
% 39.28/40.14      | ~ c_less(c_0,X0,X1)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23500]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4782,plain,
% 39.28/40.14      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 39.28/40.14      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.14      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11326_3) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23480,plain,
% 39.28/40.14      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 39.28/40.14      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.14      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4782]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23481,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.14      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.14      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 39.28/40.14      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23480]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4765,plain,
% 39.28/40.14      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 39.28/40.14      | c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2))
% 39.28/40.14      | ~ c_lessequals(X3,X1,tc_set(X2)) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11332_1) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23446,plain,
% 39.28/40.14      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 39.28/40.14      | c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2))
% 39.28/40.14      | ~ c_lessequals(X3,X1,tc_set(X2)) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4765]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23447,plain,
% 39.28/40.14      ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 39.28/40.14      | ~ c_lessequals(X1,X3,tc_set(X2))
% 39.28/40.14      | ~ c_lessequals(X0,X3,tc_set(X2)) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23446]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4762,plain,
% 39.28/40.14      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 39.28/40.14      | c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2))
% 39.28/40.14      | ~ c_lessequals(X0,X3,tc_set(X2)) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11333_1) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23440,plain,
% 39.28/40.14      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 39.28/40.14      | c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2))
% 39.28/40.14      | ~ c_lessequals(X0,X3,tc_set(X2)) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4762]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23441,plain,
% 39.28/40.14      ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 39.28/40.14      | ~ c_lessequals(X0,X2,tc_set(X3))
% 39.28/40.14      | ~ c_lessequals(X0,X1,tc_set(X3)) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23440]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4753,plain,
% 39.28/40.14      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 39.28/40.14      | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.14      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11336_3) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23422,plain,
% 39.28/40.14      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 39.28/40.14      | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.14      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4753]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23423,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.14      | ~ class_Power_Orecpower(X0)
% 39.28/40.14      | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 39.28/40.14      | c_Numeral_Onumber__of(X2,tc_nat) != c_0 ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23422]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4751,plain,
% 39.28/40.14      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.28/40.14      | c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 39.28/40.14      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11339_1) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23418,plain,
% 39.28/40.14      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.28/40.14      | c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 39.28/40.14      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4751]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23419,plain,
% 39.28/40.14      ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 39.28/40.14      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 39.28/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23418]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4744,plain,
% 39.28/40.14      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.28/40.14      | c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 39.28/40.14      | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 39.28/40.14      | ~ c_lessequals(X1,c_0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.14      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11340_5) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23404,plain,
% 39.28/40.14      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.28/40.14      | c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 39.28/40.14      | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 39.28/40.14      | ~ c_lessequals(X1,c_0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.14      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4744]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23405,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.14      | ~ class_Power_Orecpower(X0)
% 39.28/40.14      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.14      | c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 39.28/40.14      | ~ c_lessequals(X2,c_0,X0)
% 39.28/40.14      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23404]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4727,plain,
% 39.28/40.14      ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 39.28/40.14      | ~ c_less(c_0,X1,X2)
% 39.28/40.14      | ~ c_less(X1,X0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11345_4) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23370,plain,
% 39.28/40.14      ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 39.28/40.14      | ~ c_less(c_0,X1,X2)
% 39.28/40.14      | ~ c_less(X1,X0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4727]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23371,plain,
% 39.28/40.14      ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 39.28/40.14      | ~ c_less(c_0,X1,X2)
% 39.28/40.14      | ~ c_less(X1,X0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23370]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4722,plain,
% 39.28/40.14      ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 39.28/40.14      | ~ c_less(X1,c_0,X2)
% 39.28/40.14      | ~ c_less(X0,X1,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11346_4) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23360,plain,
% 39.28/40.14      ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 39.28/40.14      | ~ c_less(X1,c_0,X2)
% 39.28/40.14      | ~ c_less(X0,X1,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4722]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23361,plain,
% 39.28/40.14      ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 39.28/40.14      | ~ c_less(X1,c_0,X2)
% 39.28/40.14      | ~ c_less(X0,X1,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23360]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4717,plain,
% 39.28/40.14      ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 39.28/40.14      | ~ c_lessequals(X1,X0,X2)
% 39.28/40.14      | ~ c_less(c_0,X1,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11347_4) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23350,plain,
% 39.28/40.14      ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 39.28/40.14      | ~ c_lessequals(X1,X0,X2)
% 39.28/40.14      | ~ c_less(c_0,X1,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4717]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23351,plain,
% 39.28/40.14      ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 39.28/40.14      | ~ c_lessequals(X1,X0,X2)
% 39.28/40.14      | ~ c_less(c_0,X1,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23350]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4712,plain,
% 39.28/40.14      ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 39.28/40.14      | ~ c_lessequals(X0,X1,X2)
% 39.28/40.14      | ~ c_less(X1,c_0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11348_4) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23340,plain,
% 39.28/40.14      ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 39.28/40.14      | ~ c_lessequals(X0,X1,X2)
% 39.28/40.14      | ~ c_less(X1,c_0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4712]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23341,plain,
% 39.28/40.14      ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 39.28/40.14      | ~ c_lessequals(X0,X1,X2)
% 39.28/40.14      | ~ c_less(X1,c_0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23340]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4707,plain,
% 39.28/40.14      ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 39.28/40.14      | ~ c_less(c_0,X1,X2)
% 39.28/40.14      | ~ c_less(X0,X1,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11349_4) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23330,plain,
% 39.28/40.14      ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 39.28/40.14      | ~ c_less(c_0,X1,X2)
% 39.28/40.14      | ~ c_less(X0,X1,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4707]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23331,plain,
% 39.28/40.14      ( ~ c_less(c_0,X0,X1)
% 39.28/40.14      | c_less(c_divide(X2,X0,X1),c_1,X1)
% 39.28/40.14      | ~ c_less(X2,X0,X1)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23330]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4702,plain,
% 39.28/40.14      ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 39.28/40.14      | ~ c_less(X1,c_0,X2)
% 39.28/40.14      | ~ c_less(X1,X0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11350_4) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23320,plain,
% 39.28/40.14      ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 39.28/40.14      | ~ c_less(X1,c_0,X2)
% 39.28/40.14      | ~ c_less(X1,X0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4702]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23321,plain,
% 39.28/40.14      ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 39.28/40.14      | ~ c_less(X1,c_0,X2)
% 39.28/40.14      | ~ c_less(X1,X0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23320]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4697,plain,
% 39.28/40.14      ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 39.28/40.14      | ~ c_lessequals(X0,X1,X2)
% 39.28/40.14      | ~ c_less(c_0,X1,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11351_4) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23310,plain,
% 39.28/40.14      ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 39.28/40.14      | ~ c_lessequals(X0,X1,X2)
% 39.28/40.14      | ~ c_less(c_0,X1,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4697]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23311,plain,
% 39.28/40.14      ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 39.28/40.14      | ~ c_lessequals(X0,X1,X2)
% 39.28/40.14      | ~ c_less(c_0,X1,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23310]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4692,plain,
% 39.28/40.14      ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 39.28/40.14      | ~ c_lessequals(X1,X0,X2)
% 39.28/40.14      | ~ c_less(X1,c_0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11352_4) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23300,plain,
% 39.28/40.14      ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 39.28/40.14      | ~ c_lessequals(X1,X0,X2)
% 39.28/40.14      | ~ c_less(X1,c_0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4692]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23301,plain,
% 39.28/40.14      ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 39.28/40.14      | ~ c_lessequals(X1,X0,X2)
% 39.28/40.14      | ~ c_less(X1,c_0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23300]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4679,plain,
% 39.28/40.14      ( X0 = c_emptyset
% 39.28/40.14      | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 39.28/40.14      | c_in(c_Main_OMin__gr__iff__1(X0,X1,X2),X0,X2)
% 39.28/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 39.28/40.14      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11357_4) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23274,plain,
% 39.28/40.14      ( X0 = c_emptyset
% 39.28/40.14      | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 39.28/40.14      | c_in(c_Main_OMin__gr__iff__1(X0,X1,X2),X0,X2)
% 39.28/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 39.28/40.14      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4679]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23275,plain,
% 39.28/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.14      | c_less(X1,c_Finite__Set_OMin(X2,X0),X0)
% 39.28/40.14      | c_in(c_Main_OMin__gr__iff__1(X2,X1,X0),X2,X0)
% 39.28/40.14      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 39.28/40.14      | X2 = c_emptyset ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23274]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4674,plain,
% 39.28/40.14      ( X0 = c_emptyset
% 39.28/40.14      | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 39.28/40.14      | c_in(c_Main_OMin__ge__iff__1(X0,X1,X2),X0,X2)
% 39.28/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 39.28/40.14      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11358_4) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23264,plain,
% 39.28/40.14      ( X0 = c_emptyset
% 39.28/40.14      | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 39.28/40.14      | c_in(c_Main_OMin__ge__iff__1(X0,X1,X2),X0,X2)
% 39.28/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 39.28/40.14      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4674]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23265,plain,
% 39.28/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.14      | c_lessequals(X1,c_Finite__Set_OMin(X2,X0),X0)
% 39.28/40.14      | c_in(c_Main_OMin__ge__iff__1(X2,X1,X0),X2,X0)
% 39.28/40.14      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 39.28/40.14      | X2 = c_emptyset ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23264]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4669,plain,
% 39.28/40.14      ( X0 = c_emptyset
% 39.28/40.14      | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 39.28/40.14      | c_in(c_Main_OMax__less__iff__1(X0,X2,X1),X0,X1)
% 39.28/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.28/40.14      | ~ class_Orderings_Olinorder(X1) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11359_4) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23254,plain,
% 39.28/40.14      ( X0 = c_emptyset
% 39.28/40.14      | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 39.28/40.14      | c_in(c_Main_OMax__less__iff__1(X0,X2,X1),X0,X1)
% 39.28/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.28/40.14      | ~ class_Orderings_Olinorder(X1) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4669]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23255,plain,
% 39.28/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.14      | c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 39.28/40.14      | c_in(c_Main_OMax__less__iff__1(X1,X2,X0),X1,X0)
% 39.28/40.14      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 39.28/40.14      | X1 = c_emptyset ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23254]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4664,plain,
% 39.28/40.14      ( X0 = c_emptyset
% 39.28/40.14      | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 39.28/40.14      | c_in(c_Main_OMax__le__iff__1(X0,X2,X1),X0,X1)
% 39.28/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.28/40.14      | ~ class_Orderings_Olinorder(X1) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11360_4) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23244,plain,
% 39.28/40.14      ( X0 = c_emptyset
% 39.28/40.14      | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 39.28/40.14      | c_in(c_Main_OMax__le__iff__1(X0,X2,X1),X0,X1)
% 39.28/40.14      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.28/40.14      | ~ class_Orderings_Olinorder(X1) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4664]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23245,plain,
% 39.28/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.14      | c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 39.28/40.14      | c_in(c_Main_OMax__le__iff__1(X1,X2,X0),X1,X0)
% 39.28/40.14      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 39.28/40.14      | X1 = c_emptyset ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23244]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4660,plain,
% 39.28/40.14      ( c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,X3),X3)
% 39.28/40.14      | ~ c_less(X1,X0,X3)
% 39.28/40.14      | ~ c_less(X0,X2,X3)
% 39.28/40.14      | ~ class_Orderings_Oord(X3) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11361_3) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23236,plain,
% 39.28/40.14      ( c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,X3),X3)
% 39.28/40.14      | ~ c_less(X1,X0,X3)
% 39.28/40.14      | ~ c_less(X0,X2,X3)
% 39.28/40.14      | ~ class_Orderings_Oord(X3) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4660]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23237,plain,
% 39.28/40.14      ( ~ class_Orderings_Oord(X0)
% 39.28/40.14      | ~ c_less(X1,X2,X0)
% 39.28/40.14      | ~ c_less(X2,X3,X0)
% 39.28/40.14      | c_in(X2,c_SetInterval_OgreaterThanLessThan(X1,X3,X0),X0) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23236]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4656,plain,
% 39.28/40.14      ( c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,X3),X3)
% 39.28/40.14      | ~ c_lessequals(X0,X2,X3)
% 39.28/40.14      | ~ c_less(X1,X0,X3)
% 39.28/40.14      | ~ class_Orderings_Oord(X3) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11362_3) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23228,plain,
% 39.28/40.14      ( c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,X3),X3)
% 39.28/40.14      | ~ c_lessequals(X0,X2,X3)
% 39.28/40.14      | ~ c_less(X1,X0,X3)
% 39.28/40.14      | ~ class_Orderings_Oord(X3) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4656]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23229,plain,
% 39.28/40.14      ( ~ class_Orderings_Oord(X0)
% 39.28/40.14      | ~ c_lessequals(X1,X2,X0)
% 39.28/40.14      | ~ c_less(X3,X1,X0)
% 39.28/40.14      | c_in(X1,c_SetInterval_OgreaterThanAtMost(X3,X2,X0),X0) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23228]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4652,plain,
% 39.28/40.14      ( c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,X3),X3)
% 39.28/40.14      | ~ c_lessequals(X1,X0,X3)
% 39.28/40.14      | ~ c_less(X0,X2,X3)
% 39.28/40.14      | ~ class_Orderings_Oord(X3) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11363_3) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23220,plain,
% 39.28/40.14      ( c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,X3),X3)
% 39.28/40.14      | ~ c_lessequals(X1,X0,X3)
% 39.28/40.14      | ~ c_less(X0,X2,X3)
% 39.28/40.14      | ~ class_Orderings_Oord(X3) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4652]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23221,plain,
% 39.28/40.14      ( ~ class_Orderings_Oord(X0)
% 39.28/40.14      | ~ c_lessequals(X1,X2,X0)
% 39.28/40.14      | ~ c_less(X2,X3,X0)
% 39.28/40.14      | c_in(X2,c_SetInterval_OatLeastLessThan(X1,X3,X0),X0) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23220]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4648,plain,
% 39.28/40.14      ( c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,X3),X3)
% 39.28/40.14      | ~ c_lessequals(X1,X0,X3)
% 39.28/40.14      | ~ c_lessequals(X0,X2,X3)
% 39.28/40.14      | ~ class_Orderings_Oord(X3) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11364_3) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23212,plain,
% 39.28/40.14      ( c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,X3),X3)
% 39.28/40.14      | ~ c_lessequals(X1,X0,X3)
% 39.28/40.14      | ~ c_lessequals(X0,X2,X3)
% 39.28/40.14      | ~ class_Orderings_Oord(X3) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4648]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23213,plain,
% 39.28/40.14      ( ~ class_Orderings_Oord(X0)
% 39.28/40.14      | ~ c_lessequals(X1,X2,X0)
% 39.28/40.14      | ~ c_lessequals(X2,X3,X0)
% 39.28/40.14      | c_in(X2,c_SetInterval_OatLeastAtMost(X1,X3,X0),X0) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23212]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4646,plain,
% 39.28/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.14      | ~ c_lessequals(X1,X2,X0)
% 39.28/40.14      | c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 39.28/40.14      | ~ c_lessequals(X3,X2,X0) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11365_1) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23208,plain,
% 39.28/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.14      | ~ c_lessequals(X1,X2,X0)
% 39.28/40.14      | c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 39.28/40.14      | ~ c_lessequals(X3,X2,X0) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4646]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23209,plain,
% 39.28/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.14      | c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 39.28/40.14      | ~ c_lessequals(X2,X3,X0)
% 39.28/40.14      | ~ c_lessequals(X1,X3,X0) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23208]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4642,plain,
% 39.28/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.14      | ~ c_lessequals(X1,X2,X0)
% 39.28/40.14      | c_lessequals(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 39.28/40.14      | ~ c_lessequals(X1,X3,X0) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11366_1) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23200,plain,
% 39.28/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.14      | ~ c_lessequals(X1,X2,X0)
% 39.28/40.14      | c_lessequals(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 39.28/40.14      | ~ c_lessequals(X1,X3,X0) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4642]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23201,plain,
% 39.28/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.14      | c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 39.28/40.14      | ~ c_lessequals(X1,X3,X0)
% 39.28/40.14      | ~ c_lessequals(X1,X2,X0) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23200]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4638,plain,
% 39.28/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.14      | ~ c_less(X1,X2,X0)
% 39.28/40.14      | c_less(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 39.28/40.14      | ~ c_less(X1,X3,X0) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11367_1) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23192,plain,
% 39.28/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.14      | ~ c_less(X1,X2,X0)
% 39.28/40.14      | c_less(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 39.28/40.14      | ~ c_less(X1,X3,X0) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4638]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23193,plain,
% 39.28/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.14      | c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 39.28/40.14      | ~ c_less(X1,X3,X0)
% 39.28/40.14      | ~ c_less(X1,X2,X0) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23192]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4634,plain,
% 39.28/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.14      | ~ c_less(X1,X2,X0)
% 39.28/40.14      | c_less(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 39.28/40.14      | ~ c_less(X3,X2,X0) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11368_1) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23184,plain,
% 39.28/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.14      | ~ c_less(X1,X2,X0)
% 39.28/40.14      | c_less(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 39.28/40.14      | ~ c_less(X3,X2,X0) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4634]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23185,plain,
% 39.28/40.14      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.14      | c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 39.28/40.14      | ~ c_less(X2,X3,X0)
% 39.28/40.14      | ~ c_less(X1,X3,X0) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23184]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4617,plain,
% 39.28/40.14      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 39.28/40.14      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.14      | ~ c_less(c_0,X0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.14      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11374_4) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23150,plain,
% 39.28/40.14      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 39.28/40.14      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.14      | ~ c_less(c_0,X0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.14      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4617]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23151,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.14      | ~ class_Power_Orecpower(X0)
% 39.28/40.14      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.14      | c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 39.28/40.14      | ~ c_less(c_0,X2,X0) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23150]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4612,plain,
% 39.28/40.14      ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 39.28/40.14      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.14      | ~ c_lessequals(c_0,X0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.14      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11375_4) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23140,plain,
% 39.28/40.14      ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 39.28/40.14      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.14      | ~ c_lessequals(c_0,X0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.14      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4612]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23141,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.14      | ~ class_Power_Orecpower(X0)
% 39.28/40.14      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.14      | c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 39.28/40.14      | ~ c_lessequals(c_0,X2,X0) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23140]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4607,plain,
% 39.28/40.14      ( c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 39.28/40.14      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.14      | ~ c_less(X0,c_0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.14      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11376_4) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23130,plain,
% 39.28/40.14      ( c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 39.28/40.14      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.14      | ~ c_less(X0,c_0,X2)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.14      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4607]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23131,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.14      | ~ class_Power_Orecpower(X0)
% 39.28/40.14      | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.14      | c_less(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 39.28/40.14      | ~ c_less(X2,c_0,X0) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23130]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4603,plain,
% 39.28/40.14      ( X0 = c_0
% 39.28/40.14      | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X1),X0,X1),X1)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.14      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11377_3) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23122,plain,
% 39.28/40.14      ( X0 = c_0
% 39.28/40.14      | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X1),X0,X1),X1)
% 39.28/40.14      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.14      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4603]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23123,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.14      | ~ class_Power_Orecpower(X0)
% 39.28/40.14      | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X0),X1,X0),X0)
% 39.28/40.14      | X1 = c_0 ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23122]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4585,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.28/40.14      | ~ c_in(X1,c_IntDef_ONats,X0)
% 39.28/40.14      | c_in(c_times(X2,X1,X0),c_IntDef_ONats,X0)
% 39.28/40.14      | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11383_1) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23086,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.28/40.14      | ~ c_in(X1,c_IntDef_ONats,X0)
% 39.28/40.14      | c_in(c_times(X2,X1,X0),c_IntDef_ONats,X0)
% 39.28/40.14      | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4585]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23087,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.28/40.14      | c_in(c_times(X1,X2,X0),c_IntDef_ONats,X0)
% 39.28/40.14      | ~ c_in(X2,c_IntDef_ONats,X0)
% 39.28/40.14      | ~ c_in(X1,c_IntDef_ONats,X0) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23086]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4581,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.28/40.14      | ~ c_in(X1,c_IntDef_ONats,X0)
% 39.28/40.14      | c_in(c_plus(X2,X1,X0),c_IntDef_ONats,X0)
% 39.28/40.14      | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11384_1) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23078,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.28/40.14      | ~ c_in(X1,c_IntDef_ONats,X0)
% 39.28/40.14      | c_in(c_plus(X2,X1,X0),c_IntDef_ONats,X0)
% 39.28/40.14      | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4581]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23079,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.28/40.14      | c_in(c_plus(X1,X2,X0),c_IntDef_ONats,X0)
% 39.28/40.14      | ~ c_in(X2,c_IntDef_ONats,X0)
% 39.28/40.14      | ~ c_in(X1,c_IntDef_ONats,X0) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23078]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4577,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.28/40.14      | ~ c_in(X1,c_IntDef_OInts,X0)
% 39.28/40.14      | c_in(c_times(X2,X1,X0),c_IntDef_OInts,X0)
% 39.28/40.14      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11385_1) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23070,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.28/40.14      | ~ c_in(X1,c_IntDef_OInts,X0)
% 39.28/40.14      | c_in(c_times(X2,X1,X0),c_IntDef_OInts,X0)
% 39.28/40.14      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 39.28/40.14      inference(copy,[status(esa)],[c_4577]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23071,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.28/40.14      | c_in(c_times(X1,X2,X0),c_IntDef_OInts,X0)
% 39.28/40.14      | ~ c_in(X2,c_IntDef_OInts,X0)
% 39.28/40.14      | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 39.28/40.14      inference(rewriting,[status(thm)],[c_23070]) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_4573,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.28/40.14      | ~ c_in(X1,c_IntDef_OInts,X0)
% 39.28/40.14      | c_in(c_minus(X2,X1,X0),c_IntDef_OInts,X0)
% 39.28/40.14      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 39.28/40.14      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11386_1) ).
% 39.28/40.14  
% 39.28/40.14  cnf(c_23062,plain,
% 39.28/40.14      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.28/40.14      | ~ c_in(X1,c_IntDef_OInts,X0)
% 39.28/40.14      | c_in(c_minus(X2,X1,X0),c_IntDef_OInts,X0)
% 39.28/40.15      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4573]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_23063,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.28/40.15      | c_in(c_minus(X1,X2,X0),c_IntDef_OInts,X0)
% 39.28/40.15      | ~ c_in(X2,c_IntDef_OInts,X0)
% 39.28/40.15      | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_23062]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4569,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.28/40.15      | ~ c_in(X1,c_IntDef_OInts,X0)
% 39.28/40.15      | c_in(c_plus(X2,X1,X0),c_IntDef_OInts,X0)
% 39.28/40.15      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11387_1) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_23054,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.28/40.15      | ~ c_in(X1,c_IntDef_OInts,X0)
% 39.28/40.15      | c_in(c_plus(X2,X1,X0),c_IntDef_OInts,X0)
% 39.28/40.15      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4569]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_23055,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.28/40.15      | c_in(c_plus(X1,X2,X0),c_IntDef_OInts,X0)
% 39.28/40.15      | ~ c_in(X2,c_IntDef_OInts,X0)
% 39.28/40.15      | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_23054]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4563,plain,
% 39.28/40.15      ( 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)
% 39.28/40.15      | ~ c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11388_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_23042,plain,
% 39.28/40.15      ( 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)
% 39.28/40.15      | ~ c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4563]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_23043,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.15      | ~ c_less(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 39.28/40.15      | 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) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_23042]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4556,plain,
% 39.28/40.15      ( ~ c_List_Odistinct(X0,X1)
% 39.28/40.15      | c_List_Odistinct(c_append(X2,X0,X1),X1)
% 39.28/40.15      | c_inter(c_List_Oset(X2,X1),c_List_Oset(X0,X1),X1) != c_emptyset
% 39.28/40.15      | ~ c_List_Odistinct(X2,X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11391_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_23028,plain,
% 39.28/40.15      ( ~ c_List_Odistinct(X0,X1)
% 39.28/40.15      | c_List_Odistinct(c_append(X2,X0,X1),X1)
% 39.28/40.15      | c_inter(c_List_Oset(X2,X1),c_List_Oset(X0,X1),X1) != c_emptyset
% 39.28/40.15      | ~ c_List_Odistinct(X2,X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4556]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_23029,plain,
% 39.28/40.15      ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 39.28/40.15      | ~ c_List_Odistinct(X1,X2)
% 39.28/40.15      | ~ c_List_Odistinct(X0,X2)
% 39.28/40.15      | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_23028]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4555,plain,
% 39.28/40.15      ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 39.28/40.15      | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset
% 39.28/40.15      | ~ c_List_Odistinct(X0,X2)
% 39.28/40.15      | ~ c_List_Odistinct(X1,X2) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11391_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_23026,plain,
% 39.28/40.15      ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 39.28/40.15      | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset
% 39.28/40.15      | ~ c_List_Odistinct(X0,X2)
% 39.28/40.15      | ~ c_List_Odistinct(X1,X2) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4555]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_23027,plain,
% 39.28/40.15      ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 39.28/40.15      | ~ c_List_Odistinct(X0,X2)
% 39.28/40.15      | ~ c_List_Odistinct(X1,X2)
% 39.28/40.15      | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_23026]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4553,plain,
% 39.28/40.15      ( ~ c_in(X0,X1,X2) | c_in(X0,c_inter(X3,X1,X2),X2) | ~ c_in(X0,X3,X2) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11392_1) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_23022,plain,
% 39.28/40.15      ( ~ c_in(X0,X1,X2) | c_in(X0,c_inter(X3,X1,X2),X2) | ~ c_in(X0,X3,X2) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4553]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_23023,plain,
% 39.28/40.15      ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) | ~ c_in(X0,X1,X3) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_23022]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4529,plain,
% 39.28/40.15      ( c_less(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 39.28/40.15      | ~ c_less(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 39.28/40.15      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11403_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22974,plain,
% 39.28/40.15      ( c_less(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 39.28/40.15      | ~ c_less(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 39.28/40.15      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4529]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22975,plain,
% 39.28/40.15      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber(X0)
% 39.28/40.15      | ~ c_less(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 39.28/40.15      | c_less(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22974]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4525,plain,
% 39.28/40.15      ( c_lessequals(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 39.28/40.15      | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 39.28/40.15      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11404_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22966,plain,
% 39.28/40.15      ( c_lessequals(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 39.28/40.15      | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 39.28/40.15      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4525]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22967,plain,
% 39.28/40.15      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber(X0)
% 39.28/40.15      | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 39.28/40.15      | c_lessequals(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22966]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4521,plain,
% 39.28/40.15      ( c_less(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 39.28/40.15      | ~ c_less(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.28/40.15      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11405_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22958,plain,
% 39.28/40.15      ( c_less(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 39.28/40.15      | ~ c_less(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.28/40.15      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4521]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22959,plain,
% 39.28/40.15      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber(X0)
% 39.28/40.15      | c_less(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 39.28/40.15      | ~ c_less(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22958]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4517,plain,
% 39.28/40.15      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 39.28/40.15      | ~ c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.28/40.15      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11406_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22950,plain,
% 39.28/40.15      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 39.28/40.15      | ~ c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 39.28/40.15      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4517]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22951,plain,
% 39.28/40.15      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber(X0)
% 39.28/40.15      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 39.28/40.15      | ~ c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22950]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4506,plain,
% 39.28/40.15      ( X0 = X1
% 39.28/40.15      | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 39.28/40.15      | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 39.28/40.15      | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11414_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22928,plain,
% 39.28/40.15      ( X0 = X1
% 39.28/40.15      | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 39.28/40.15      | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 39.28/40.15      | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4506]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22929,plain,
% 39.28/40.15      ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 39.28/40.15      | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 39.28/40.15      | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 39.28/40.15      | X0 = X1 ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22928]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4492,plain,
% 39.28/40.15      ( ~ c_lessequals(c_1,X0,tc_nat)
% 39.28/40.15      | c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_lessequals(c_1,X1,tc_nat) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11421_1) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22900,plain,
% 39.28/40.15      ( ~ c_lessequals(c_1,X0,tc_nat)
% 39.28/40.15      | c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_lessequals(c_1,X1,tc_nat) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4492]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22901,plain,
% 39.28/40.15      ( c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_lessequals(c_1,X1,tc_nat)
% 39.28/40.15      | ~ c_lessequals(c_1,X0,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22900]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4491,plain,
% 39.28/40.15      ( c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_lessequals(c_1,X0,tc_nat)
% 39.28/40.15      | ~ c_lessequals(c_1,X1,tc_nat) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11421_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22898,plain,
% 39.28/40.15      ( c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_lessequals(c_1,X0,tc_nat)
% 39.28/40.15      | ~ c_lessequals(c_1,X1,tc_nat) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4491]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22899,plain,
% 39.28/40.15      ( c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_lessequals(c_1,X0,tc_nat)
% 39.28/40.15      | ~ c_lessequals(c_1,X1,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22898]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4482,plain,
% 39.28/40.15      ( c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 39.28/40.15      | ~ c_less(c_0,X1,tc_nat)
% 39.28/40.15      | ~ c_less(c_0,X0,tc_nat) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11430_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22880,plain,
% 39.28/40.15      ( c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 39.28/40.15      | ~ c_less(c_0,X1,tc_nat)
% 39.28/40.15      | ~ c_less(c_0,X0,tc_nat) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4482]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22881,plain,
% 39.28/40.15      ( ~ c_less(c_0,X0,tc_nat)
% 39.28/40.15      | ~ c_less(c_0,X1,tc_nat)
% 39.28/40.15      | c_less(c_minus(X1,X0,tc_nat),X1,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22880]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4479,plain,
% 39.28/40.15      ( c_less(c_div(X0,X1,tc_nat),X0,tc_nat)
% 39.28/40.15      | ~ c_less(c_1,X1,tc_nat)
% 39.28/40.15      | ~ c_less(c_0,X0,tc_nat) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11431_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22874,plain,
% 39.28/40.15      ( c_less(c_div(X0,X1,tc_nat),X0,tc_nat)
% 39.28/40.15      | ~ c_less(c_1,X1,tc_nat)
% 39.28/40.15      | ~ c_less(c_0,X0,tc_nat) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4479]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22875,plain,
% 39.28/40.15      ( ~ c_less(c_1,X0,tc_nat)
% 39.28/40.15      | ~ c_less(c_0,X1,tc_nat)
% 39.28/40.15      | c_less(c_div(X1,X0,tc_nat),X1,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22874]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4475,plain,
% 39.28/40.15      ( c_less(X0,c_0,X1)
% 39.28/40.15      | ~ c_less(c_plus(X0,X0,X1),c_0,X1)
% 39.28/40.15      | ~ class_Orderings_Olinorder(X1)
% 39.28/40.15      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11436_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22866,plain,
% 39.28/40.15      ( c_less(X0,c_0,X1)
% 39.28/40.15      | ~ c_less(c_plus(X0,X0,X1),c_0,X1)
% 39.28/40.15      | ~ class_Orderings_Olinorder(X1)
% 39.28/40.15      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4475]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22867,plain,
% 39.28/40.15      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.15      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.28/40.15      | ~ c_less(c_plus(X1,X1,X0),c_0,X0)
% 39.28/40.15      | c_less(X1,c_0,X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22866]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4471,plain,
% 39.28/40.15      ( ~ c_less(c_0,X0,tc_nat)
% 39.28/40.15      | c_less(c_0,c_times(X1,X0,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_less(c_0,X1,tc_nat) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11438_1) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22858,plain,
% 39.28/40.15      ( ~ c_less(c_0,X0,tc_nat)
% 39.28/40.15      | c_less(c_0,c_times(X1,X0,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_less(c_0,X1,tc_nat) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4471]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22859,plain,
% 39.28/40.15      ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_less(c_0,X1,tc_nat)
% 39.28/40.15      | ~ c_less(c_0,X0,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22858]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4412,plain,
% 39.28/40.15      ( ~ c_in(X0,X1,X2)
% 39.28/40.15      | c_in(X0,c_minus(X1,X3,tc_set(X2)),X2)
% 39.28/40.15      | c_in(X0,X3,X2) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11458_1) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22740,plain,
% 39.28/40.15      ( ~ c_in(X0,X1,X2)
% 39.28/40.15      | c_in(X0,c_minus(X1,X3,tc_set(X2)),X2)
% 39.28/40.15      | c_in(X0,X3,X2) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4412]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22741,plain,
% 39.28/40.15      ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 39.28/40.15      | ~ c_in(X0,X1,X3)
% 39.28/40.15      | c_in(X0,X2,X3) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22740]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4405,plain,
% 39.28/40.15      ( c_less(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 39.28/40.15      | ~ c_less(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.15      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11460_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22726,plain,
% 39.28/40.15      ( c_less(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 39.28/40.15      | ~ c_less(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.15      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4405]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22727,plain,
% 39.28/40.15      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber(X0)
% 39.28/40.15      | c_less(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 39.28/40.15      | ~ c_less(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22726]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4401,plain,
% 39.28/40.15      ( c_lessequals(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 39.28/40.15      | ~ c_lessequals(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.15      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11461_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22718,plain,
% 39.28/40.15      ( c_lessequals(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 39.28/40.15      | ~ c_lessequals(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.15      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4401]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22719,plain,
% 39.28/40.15      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber(X0)
% 39.28/40.15      | c_lessequals(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 39.28/40.15      | ~ c_lessequals(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22718]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4397,plain,
% 39.28/40.15      ( c_less(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.28/40.15      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 39.28/40.15      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 39.28/40.15      | ~ class_Numeral_Onumber(X2) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11462_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22710,plain,
% 39.28/40.15      ( c_less(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.28/40.15      | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 39.28/40.15      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 39.28/40.15      | ~ class_Numeral_Onumber(X2) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4397]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22711,plain,
% 39.28/40.15      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber(X0)
% 39.28/40.15      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 39.28/40.15      | c_less(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22710]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4393,plain,
% 39.28/40.15      ( c_lessequals(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.28/40.15      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 39.28/40.15      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 39.28/40.15      | ~ class_Numeral_Onumber(X2) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11463_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22702,plain,
% 39.28/40.15      ( c_lessequals(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 39.28/40.15      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 39.28/40.15      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 39.28/40.15      | ~ class_Numeral_Onumber(X2) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4393]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22703,plain,
% 39.28/40.15      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber(X0)
% 39.28/40.15      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 39.28/40.15      | c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22702]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4389,plain,
% 39.28/40.15      ( c_less(c_0,X0,X1)
% 39.28/40.15      | ~ c_less(c_0,c_divide(c_1,X0,X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11464_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22694,plain,
% 39.28/40.15      ( c_less(c_0,X0,X1)
% 39.28/40.15      | ~ c_less(c_0,c_divide(c_1,X0,X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4389]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22695,plain,
% 39.28/40.15      ( ~ c_less(c_0,c_divide(c_1,X0,X1),X1)
% 39.28/40.15      | c_less(c_0,X0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22694]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4385,plain,
% 39.28/40.15      ( c_lessequals(c_0,X0,X1)
% 39.28/40.15      | ~ c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11465_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22686,plain,
% 39.28/40.15      ( c_lessequals(c_0,X0,X1)
% 39.28/40.15      | ~ c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4385]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22687,plain,
% 39.28/40.15      ( ~ c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 39.28/40.15      | c_lessequals(c_0,X0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22686]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4381,plain,
% 39.28/40.15      ( c_less(X0,c_0,X1)
% 39.28/40.15      | ~ c_less(c_divide(c_1,X0,X1),c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11466_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22678,plain,
% 39.28/40.15      ( c_less(X0,c_0,X1)
% 39.28/40.15      | ~ c_less(c_divide(c_1,X0,X1),c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4381]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22679,plain,
% 39.28/40.15      ( ~ c_less(c_divide(c_1,X0,X1),c_0,X1)
% 39.28/40.15      | c_less(X0,c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22678]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4377,plain,
% 39.28/40.15      ( c_lessequals(X0,c_0,X1)
% 39.28/40.15      | ~ c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11467_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22670,plain,
% 39.28/40.15      ( c_lessequals(X0,c_0,X1)
% 39.28/40.15      | ~ c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4377]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22671,plain,
% 39.28/40.15      ( ~ c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 39.28/40.15      | c_lessequals(X0,c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22670]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4372,plain,
% 39.28/40.15      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11469_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22660,plain,
% 39.28/40.15      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4372]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22661,plain,
% 39.28/40.15      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22660]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4371,plain,
% 39.28/40.15      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11469_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22658,plain,
% 39.28/40.15      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4371]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22659,plain,
% 39.28/40.15      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22658]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4367,plain,
% 39.28/40.15      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11470_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22650,plain,
% 39.28/40.15      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4367]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22651,plain,
% 39.28/40.15      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22650]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4353,plain,
% 39.28/40.15      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11476_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22622,plain,
% 39.28/40.15      ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4353]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22623,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.15      | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22622]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4334,plain,
% 39.28/40.15      ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11483_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22584,plain,
% 39.28/40.15      ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4334]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22585,plain,
% 39.28/40.15      ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22584]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4313,plain,
% 39.28/40.15      ( c_less(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11494_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22542,plain,
% 39.28/40.15      ( c_less(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4313]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22543,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.15      | c_less(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22542]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4308,plain,
% 39.28/40.15      ( c_lessequals(c_1,X0,tc_nat)
% 39.28/40.15      | ~ c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11496_1) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22532,plain,
% 39.28/40.15      ( c_lessequals(c_1,X0,tc_nat)
% 39.28/40.15      | ~ c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4308]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22533,plain,
% 39.28/40.15      ( ~ c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 39.28/40.15      | c_lessequals(c_1,X1,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22532]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4306,plain,
% 39.28/40.15      ( c_lessequals(c_1,X0,tc_nat)
% 39.28/40.15      | ~ c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11497_1) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22528,plain,
% 39.28/40.15      ( c_lessequals(c_1,X0,tc_nat)
% 39.28/40.15      | ~ c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4306]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22529,plain,
% 39.28/40.15      ( ~ c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 39.28/40.15      | c_lessequals(c_1,X0,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22528]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4294,plain,
% 39.28/40.15      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11500_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22504,plain,
% 39.28/40.15      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4294]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22505,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.15      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22504]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4288,plain,
% 39.28/40.15      ( c_inter(c_insert(X0,X1,X2),X3,X2) = c_emptyset
% 39.28/40.15      | c_in(X0,X3,X2)
% 39.28/40.15      | c_inter(X1,X3,X2) != c_emptyset ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11502_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22492,plain,
% 39.28/40.15      ( c_inter(c_insert(X0,X1,X2),X3,X2) = c_emptyset
% 39.28/40.15      | c_in(X0,X3,X2)
% 39.28/40.15      | c_inter(X1,X3,X2) != c_emptyset ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4288]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22493,plain,
% 39.28/40.15      ( c_in(X0,X1,X2)
% 39.28/40.15      | c_inter(c_insert(X0,X3,X2),X1,X2) = c_emptyset
% 39.28/40.15      | c_inter(X3,X1,X2) != c_emptyset ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22492]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4282,plain,
% 39.28/40.15      ( c_inter(X0,c_insert(X1,X2,X3),X3) = c_emptyset
% 39.28/40.15      | c_in(X1,X0,X3)
% 39.28/40.15      | c_inter(X0,X2,X3) != c_emptyset ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11504_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22480,plain,
% 39.28/40.15      ( c_inter(X0,c_insert(X1,X2,X3),X3) = c_emptyset
% 39.28/40.15      | c_in(X1,X0,X3)
% 39.28/40.15      | c_inter(X0,X2,X3) != c_emptyset ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4282]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22481,plain,
% 39.28/40.15      ( c_in(X0,X1,X2)
% 39.28/40.15      | c_inter(X1,c_insert(X0,X3,X2),X2) = c_emptyset
% 39.28/40.15      | c_inter(X1,X3,X2) != c_emptyset ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22480]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4273,plain,
% 39.28/40.15      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 39.28/40.15      | ~ c_less(c_Numeral_Onumber__of(X0,X2),c_Numeral_Onumber__of(X1,X2),X2)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X2) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11507_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22462,plain,
% 39.28/40.15      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 39.28/40.15      | ~ c_less(c_Numeral_Onumber__of(X0,X2),c_Numeral_Onumber__of(X1,X2),X2)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X2) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4273]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22463,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.15      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22462]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4251,plain,
% 39.28/40.15      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11517_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22418,plain,
% 39.28/40.15      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4251]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22419,plain,
% 39.28/40.15      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22418]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4247,plain,
% 39.28/40.15      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11518_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22410,plain,
% 39.28/40.15      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4247]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22411,plain,
% 39.28/40.15      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22410]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4239,plain,
% 39.28/40.15      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 39.28/40.15      | 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)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11521_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22394,plain,
% 39.28/40.15      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 39.28/40.15      | 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)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4239]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22395,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.15      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 39.28/40.15      | 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) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22394]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4230,plain,
% 39.28/40.15      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.28/40.15      | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),c_0,X1)
% 39.28/40.15      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11525_4) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22376,plain,
% 39.28/40.15      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.28/40.15      | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),c_0,X1)
% 39.28/40.15      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4230]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22377,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Power_Orecpower(X0)
% 39.28/40.15      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.15      | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 39.28/40.15      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22376]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4210,plain,
% 39.28/40.15      ( X0 = c_0
% 39.28/40.15      | c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 39.28/40.15      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.15      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11533_4) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22336,plain,
% 39.28/40.15      ( X0 = c_0
% 39.28/40.15      | c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 39.28/40.15      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.15      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4210]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22337,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Power_Orecpower(X0)
% 39.28/40.15      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.15      | c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 39.28/40.15      | X2 = c_0 ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22336]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4207,plain,
% 39.28/40.15      ( c_in(X0,X1,X2)
% 39.28/40.15      | ~ c_in(X0,c_Inter(X3,X2),X2)
% 39.28/40.15      | ~ c_in(X1,X3,tc_set(X2)) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11534_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22330,plain,
% 39.28/40.15      ( c_in(X0,X1,X2)
% 39.28/40.15      | ~ c_in(X0,c_Inter(X3,X2),X2)
% 39.28/40.15      | ~ c_in(X1,X3,tc_set(X2)) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4207]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22331,plain,
% 39.28/40.15      ( ~ c_in(X0,c_Inter(X1,X2),X2)
% 39.28/40.15      | ~ c_in(X3,X1,tc_set(X2))
% 39.28/40.15      | c_in(X0,X3,X2) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22330]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4193,plain,
% 39.28/40.15      ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 39.28/40.15      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.15      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11539_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22302,plain,
% 39.28/40.15      ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 39.28/40.15      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.15      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4193]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22303,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Power_Orecpower(X0)
% 39.28/40.15      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.15      | c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22302]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4169,plain,
% 39.28/40.15      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11545_1) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22254,plain,
% 39.28/40.15      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4169]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22255,plain,
% 39.28/40.15      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22254]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4167,plain,
% 39.28/40.15      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11545_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22250,plain,
% 39.28/40.15      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4167]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22251,plain,
% 39.28/40.15      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22250]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4162,plain,
% 39.28/40.15      ( X0 = X1
% 39.28/40.15      | c_Nat_Opower(X2,X0,X3) != c_Nat_Opower(X2,X1,X3)
% 39.28/40.15      | ~ c_less(c_1,X2,X3)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 39.28/40.15      | ~ class_Power_Orecpower(X3) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11546_4) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22240,plain,
% 39.28/40.15      ( X0 = X1
% 39.28/40.15      | c_Nat_Opower(X2,X0,X3) != c_Nat_Opower(X2,X1,X3)
% 39.28/40.15      | ~ c_less(c_1,X2,X3)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 39.28/40.15      | ~ class_Power_Orecpower(X3) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4162]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22241,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.28/40.15      | ~ class_Power_Orecpower(X0)
% 39.28/40.15      | ~ c_less(c_1,X1,X0)
% 39.28/40.15      | c_Nat_Opower(X1,X2,X0) != c_Nat_Opower(X1,X3,X0)
% 39.28/40.15      | X2 = X3 ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22240]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4155,plain,
% 39.28/40.15      ( c_Orderings_Omax(X0,c_Finite__Set_OMin(X1,X2),X2) = X0
% 39.28/40.15      | X1 = c_emptyset
% 39.28/40.15      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 39.28/40.15      | ~ c_in(X0,X1,X2)
% 39.28/40.15      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11548_4) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22226,plain,
% 39.28/40.15      ( c_Orderings_Omax(X0,c_Finite__Set_OMin(X1,X2),X2) = X0
% 39.28/40.15      | X1 = c_emptyset
% 39.28/40.15      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 39.28/40.15      | ~ c_in(X0,X1,X2)
% 39.28/40.15      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4155]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22227,plain,
% 39.28/40.15      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.15      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 39.28/40.15      | ~ c_in(X2,X1,X0)
% 39.28/40.15      | c_Orderings_Omax(X2,c_Finite__Set_OMin(X1,X0),X0) = X2
% 39.28/40.15      | X1 = c_emptyset ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22226]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4150,plain,
% 39.28/40.15      ( c_Orderings_Omin(X0,c_Finite__Set_OMax(X1,X2),X2) = X0
% 39.28/40.15      | X1 = c_emptyset
% 39.28/40.15      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 39.28/40.15      | ~ c_in(X0,X1,X2)
% 39.28/40.15      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11549_4) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22216,plain,
% 39.28/40.15      ( c_Orderings_Omin(X0,c_Finite__Set_OMax(X1,X2),X2) = X0
% 39.28/40.15      | X1 = c_emptyset
% 39.28/40.15      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 39.28/40.15      | ~ c_in(X0,X1,X2)
% 39.28/40.15      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4150]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22217,plain,
% 39.28/40.15      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.15      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 39.28/40.15      | ~ c_in(X2,X1,X0)
% 39.28/40.15      | c_Orderings_Omin(X2,c_Finite__Set_OMax(X1,X0),X0) = X2
% 39.28/40.15      | X1 = c_emptyset ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22216]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4145,plain,
% 39.28/40.15      ( X0 = c_emptyset
% 39.28/40.15      | c_lessequals(c_Finite__Set_OMin(X0,X1),X2,X1)
% 39.28/40.15      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.28/40.15      | ~ c_in(X2,X0,X1)
% 39.28/40.15      | ~ class_Orderings_Olinorder(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11550_4) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22206,plain,
% 39.28/40.15      ( X0 = c_emptyset
% 39.28/40.15      | c_lessequals(c_Finite__Set_OMin(X0,X1),X2,X1)
% 39.28/40.15      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.28/40.15      | ~ c_in(X2,X0,X1)
% 39.28/40.15      | ~ class_Orderings_Olinorder(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4145]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22207,plain,
% 39.28/40.15      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.15      | c_lessequals(c_Finite__Set_OMin(X1,X0),X2,X0)
% 39.28/40.15      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 39.28/40.15      | ~ c_in(X2,X1,X0)
% 39.28/40.15      | X1 = c_emptyset ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22206]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4140,plain,
% 39.28/40.15      ( X0 = c_emptyset
% 39.28/40.15      | c_lessequals(X1,c_Finite__Set_OMax(X0,X2),X2)
% 39.28/40.15      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 39.28/40.15      | ~ c_in(X1,X0,X2)
% 39.28/40.15      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11551_4) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22196,plain,
% 39.28/40.15      ( X0 = c_emptyset
% 39.28/40.15      | c_lessequals(X1,c_Finite__Set_OMax(X0,X2),X2)
% 39.28/40.15      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 39.28/40.15      | ~ c_in(X1,X0,X2)
% 39.28/40.15      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4140]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22197,plain,
% 39.28/40.15      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.15      | c_lessequals(X1,c_Finite__Set_OMax(X2,X0),X0)
% 39.28/40.15      | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 39.28/40.15      | ~ c_in(X1,X2,X0)
% 39.28/40.15      | X2 = c_emptyset ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22196]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4136,plain,
% 39.28/40.15      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11553_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22188,plain,
% 39.28/40.15      ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4136]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22189,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.15      | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22188]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4134,plain,
% 39.28/40.15      ( 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)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11554_1) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22184,plain,
% 39.28/40.15      ( 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)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4134]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22185,plain,
% 39.28/40.15      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | 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) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22184]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4126,plain,
% 39.28/40.15      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11557_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22168,plain,
% 39.28/40.15      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4126]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22169,plain,
% 39.28/40.15      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22168]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4114,plain,
% 39.28/40.15      ( c_less(c_plus(X0,X0,X1),c_0,X1)
% 39.28/40.15      | ~ c_less(X0,c_0,X1)
% 39.28/40.15      | ~ class_Orderings_Olinorder(X1)
% 39.28/40.15      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11562_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22144,plain,
% 39.28/40.15      ( c_less(c_plus(X0,X0,X1),c_0,X1)
% 39.28/40.15      | ~ c_less(X0,c_0,X1)
% 39.28/40.15      | ~ class_Orderings_Olinorder(X1)
% 39.28/40.15      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4114]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22145,plain,
% 39.28/40.15      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.15      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.28/40.15      | c_less(c_plus(X1,X1,X0),c_0,X0)
% 39.28/40.15      | ~ c_less(X1,c_0,X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22144]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4102,plain,
% 39.28/40.15      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11565_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22120,plain,
% 39.28/40.15      ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4102]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22121,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.15      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22120]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4098,plain,
% 39.28/40.15      ( c_less(c_0,c_divide(c_1,X0,X1),X1)
% 39.28/40.15      | ~ c_less(c_0,X0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11569_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22112,plain,
% 39.28/40.15      ( c_less(c_0,c_divide(c_1,X0,X1),X1)
% 39.28/40.15      | ~ c_less(c_0,X0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4098]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22113,plain,
% 39.28/40.15      ( c_less(c_0,c_divide(c_1,X0,X1),X1)
% 39.28/40.15      | ~ c_less(c_0,X0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22112]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4094,plain,
% 39.28/40.15      ( c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 39.28/40.15      | ~ c_lessequals(c_0,X0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11570_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22104,plain,
% 39.28/40.15      ( c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 39.28/40.15      | ~ c_lessequals(c_0,X0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4094]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22105,plain,
% 39.28/40.15      ( c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 39.28/40.15      | ~ c_lessequals(c_0,X0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22104]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4090,plain,
% 39.28/40.15      ( c_less(c_divide(c_1,X0,X1),c_0,X1)
% 39.28/40.15      | ~ c_less(X0,c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11571_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22096,plain,
% 39.28/40.15      ( c_less(c_divide(c_1,X0,X1),c_0,X1)
% 39.28/40.15      | ~ c_less(X0,c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4090]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22097,plain,
% 39.28/40.15      ( c_less(c_divide(c_1,X0,X1),c_0,X1)
% 39.28/40.15      | ~ c_less(X0,c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22096]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4086,plain,
% 39.28/40.15      ( c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 39.28/40.15      | ~ c_lessequals(X0,c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11572_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22088,plain,
% 39.28/40.15      ( c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 39.28/40.15      | ~ c_lessequals(X0,c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4086]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22089,plain,
% 39.28/40.15      ( c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 39.28/40.15      | ~ c_lessequals(X0,c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22088]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4066,plain,
% 39.28/40.15      ( 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)
% 39.28/40.15      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11580_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22048,plain,
% 39.28/40.15      ( 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)
% 39.28/40.15      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4066]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22049,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Power_Orecpower(X0)
% 39.28/40.15      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.15      | 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) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22048]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4052,plain,
% 39.28/40.15      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 39.28/40.15      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11585_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22020,plain,
% 39.28/40.15      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 39.28/40.15      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4052]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_22021,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.15      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_22020]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4034,plain,
% 39.28/40.15      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 39.28/40.15      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11610_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21984,plain,
% 39.28/40.15      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 39.28/40.15      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4034]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21985,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.15      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21984]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4020,plain,
% 39.28/40.15      ( c_lessequals(c_Suc(c_0),c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_lessequals(c_1,X0,tc_nat) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11616_1) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21956,plain,
% 39.28/40.15      ( c_lessequals(c_Suc(c_0),c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_lessequals(c_1,X0,tc_nat) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4020]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21957,plain,
% 39.28/40.15      ( c_lessequals(c_1,c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_lessequals(c_1,X0,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21956]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_4014,plain,
% 39.28/40.15      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 39.28/40.15      | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.15      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11618_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21944,plain,
% 39.28/40.15      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 39.28/40.15      | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.15      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_4014]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21945,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Power_Orecpower(X0)
% 39.28/40.15      | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),X0)
% 39.28/40.15      | c_Numeral_Onumber__of(X2,tc_nat) != c_0 ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21944]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3978,plain,
% 39.28/40.15      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11636_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21872,plain,
% 39.28/40.15      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3978]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21873,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.15      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21872]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3956,plain,
% 39.28/40.15      ( ~ c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11645_1) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21828,plain,
% 39.28/40.15      ( ~ c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3956]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21829,plain,
% 39.28/40.15      ( ~ c_lessequals(X0,X1,tc_set(X2)) | ~ c_in(X3,X0,X2) | c_in(X3,X1,X2) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21828]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3955,plain,
% 39.28/40.15      ( c_in(X0,X1,X2) | ~ c_lessequals(X3,X1,tc_set(X2)) | ~ c_in(X0,X3,X2) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11645_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21826,plain,
% 39.28/40.15      ( c_in(X0,X1,X2) | ~ c_lessequals(X3,X1,tc_set(X2)) | ~ c_in(X0,X3,X2) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3955]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21827,plain,
% 39.28/40.15      ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_in(X3,X1,X2) | ~ c_in(X3,X0,X2) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21826]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3921,plain,
% 39.28/40.15      ( c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 39.28/40.15      | ~ c_less(c_0,X1,tc_IntDef_Oint)
% 39.28/40.15      | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11664_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21758,plain,
% 39.28/40.15      ( c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 39.28/40.15      | ~ c_less(c_0,X1,tc_IntDef_Oint)
% 39.28/40.15      | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3921]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21759,plain,
% 39.28/40.15      ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 39.28/40.15      | c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X0),tc_nat)
% 39.28/40.15      | ~ c_less(X1,X0,tc_IntDef_Oint) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21758]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3901,plain,
% 39.28/40.15      ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_uminus(c_Nat_Opower(X0,X2,X1),X1)
% 39.28/40.15      | c_Parity_Oeven(X2,tc_nat)
% 39.28/40.15      | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 39.28/40.15      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11671_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21718,plain,
% 39.28/40.15      ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_uminus(c_Nat_Opower(X0,X2,X1),X1)
% 39.28/40.15      | c_Parity_Oeven(X2,tc_nat)
% 39.28/40.15      | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 39.28/40.15      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3901]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21719,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.28/40.15      | ~ class_Power_Orecpower(X0)
% 39.28/40.15      | c_Parity_Oeven(X1,tc_nat)
% 39.28/40.15      | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_uminus(c_Nat_Opower(X2,X1,X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21718]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3885,plain,
% 39.28/40.15      ( X0 = c_0
% 39.28/40.15      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11678_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21686,plain,
% 39.28/40.15      ( X0 = c_0
% 39.28/40.15      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3885]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21687,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Power_Orecpower(X0)
% 39.28/40.15      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),X2,X0),X0)
% 39.28/40.15      | X1 = c_0 ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21686]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3882,plain,
% 39.28/40.15      ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11681_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21680,plain,
% 39.28/40.15      ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3882]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21681,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Power_Orecpower(X0)
% 39.28/40.15      | c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),X2,X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21680]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3876,plain,
% 39.28/40.15      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 39.28/40.15      | c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 39.28/40.15      | ~ c_List_Odistinct(X1,X2) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11683_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21668,plain,
% 39.28/40.15      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 39.28/40.15      | c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 39.28/40.15      | ~ c_List_Odistinct(X1,X2) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3876]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21669,plain,
% 39.28/40.15      ( c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 39.28/40.15      | ~ c_List_Odistinct(X1,X2)
% 39.28/40.15      | c_in(X0,c_List_Oset(X1,X2),X2) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21668]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3873,plain,
% 39.28/40.15      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),c_0,X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11686_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21662,plain,
% 39.28/40.15      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),c_0,X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3873]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21663,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Power_Orecpower(X0)
% 39.28/40.15      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),c_0,X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21662]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3872,plain,
% 39.28/40.15      ( c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11687_0) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21660,plain,
% 39.28/40.15      ( c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3872]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21661,plain,
% 39.28/40.15      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21660]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3857,plain,
% 39.28/40.15      ( c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_uminus(c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.15      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11696_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21630,plain,
% 39.28/40.15      ( c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_uminus(c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.15      | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3857]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21631,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.15      | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.28/40.15      | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X0),X0) = c_uminus(c_Numeral_Onumber__of(X1,X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21630]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3851,plain,
% 39.28/40.15      ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_less(c_0,X1,tc_nat)
% 39.28/40.15      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11698_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21618,plain,
% 39.28/40.15      ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_less(c_0,X1,tc_nat)
% 39.28/40.15      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3851]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21619,plain,
% 39.28/40.15      ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.15      | ~ c_less(c_0,X1,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21618]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3848,plain,
% 39.28/40.15      ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_less(c_0,X1,tc_nat)
% 39.28/40.15      | ~ c_Parity_Oeven(X0,tc_nat) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11699_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21612,plain,
% 39.28/40.15      ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_less(c_0,X1,tc_nat)
% 39.28/40.15      | ~ c_Parity_Oeven(X0,tc_nat) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3848]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21613,plain,
% 39.28/40.15      ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_Parity_Oeven(X0,tc_nat)
% 39.28/40.15      | ~ c_less(c_0,X1,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21612]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3824,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.15      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11708_1) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21564,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.15      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3824]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21565,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.15      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21564]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3823,plain,
% 39.28/40.15      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11708_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21562,plain,
% 39.28/40.15      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3823]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21563,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21562]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3821,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.15      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11709_1) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21558,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.15      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3821]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21559,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 39.28/40.15      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21558]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3820,plain,
% 39.28/40.15      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11709_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21556,plain,
% 39.28/40.15      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3820]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21557,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21556]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3818,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(X0,tc_nat)
% 39.28/40.15      | c_Parity_Oeven(X1,tc_nat)
% 39.28/40.15      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11710_1) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21552,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(X0,tc_nat)
% 39.28/40.15      | c_Parity_Oeven(X1,tc_nat)
% 39.28/40.15      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3818]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21553,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_Parity_Oeven(X0,tc_nat)
% 39.28/40.15      | c_Parity_Oeven(X1,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21552]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3817,plain,
% 39.28/40.15      ( c_Parity_Oeven(X0,tc_nat)
% 39.28/40.15      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11710_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21550,plain,
% 39.28/40.15      ( c_Parity_Oeven(X0,tc_nat)
% 39.28/40.15      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3817]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21551,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 39.28/40.15      | c_Parity_Oeven(X1,tc_nat)
% 39.28/40.15      | ~ c_Parity_Oeven(X0,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21550]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3815,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(X0,tc_nat)
% 39.28/40.15      | c_Parity_Oeven(X1,tc_nat)
% 39.28/40.15      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11711_1) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21546,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(X0,tc_nat)
% 39.28/40.15      | c_Parity_Oeven(X1,tc_nat)
% 39.28/40.15      | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3815]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21547,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_Parity_Oeven(X1,tc_nat)
% 39.28/40.15      | c_Parity_Oeven(X0,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21546]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3814,plain,
% 39.28/40.15      ( c_Parity_Oeven(X0,tc_nat)
% 39.28/40.15      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11711_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21544,plain,
% 39.28/40.15      ( c_Parity_Oeven(X0,tc_nat)
% 39.28/40.15      | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 39.28/40.15      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3814]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21545,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 39.28/40.15      | c_Parity_Oeven(X0,tc_nat)
% 39.28/40.15      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21544]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3812,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.15      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11712_1) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21540,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.15      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3812]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21541,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.15      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21540]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3811,plain,
% 39.28/40.15      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11712_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21538,plain,
% 39.28/40.15      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3811]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21539,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21538]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3809,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.15      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11713_1) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21534,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.15      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3809]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21535,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 39.28/40.15      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21534]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3808,plain,
% 39.28/40.15      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11713_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21532,plain,
% 39.28/40.15      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3808]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21533,plain,
% 39.28/40.15      ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.15      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21532]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3783,plain,
% 39.28/40.15      ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 39.28/40.15      | c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2) != c_0
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.15      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11730_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21482,plain,
% 39.28/40.15      ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 39.28/40.15      | c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2) != c_0
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.15      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3783]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21483,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Power_Orecpower(X0)
% 39.28/40.15      | c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.15      | c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0) != c_0 ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21482]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3772,plain,
% 39.28/40.15      ( 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)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11742_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21460,plain,
% 39.28/40.15      ( 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)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3772]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21461,plain,
% 39.28/40.15      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | 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) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21460]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3768,plain,
% 39.28/40.15      ( X0 = c_emptyset
% 39.28/40.15      | c_lessequals(c_Finite__Set_OMin(X0,X1),c_Finite__Set_OMax(X0,X1),X1)
% 39.28/40.15      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.28/40.15      | ~ class_Orderings_Olinorder(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11743_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21452,plain,
% 39.28/40.15      ( X0 = c_emptyset
% 39.28/40.15      | c_lessequals(c_Finite__Set_OMin(X0,X1),c_Finite__Set_OMax(X0,X1),X1)
% 39.28/40.15      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.28/40.15      | ~ class_Orderings_Olinorder(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3768]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21453,plain,
% 39.28/40.15      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.15      | c_lessequals(c_Finite__Set_OMin(X1,X0),c_Finite__Set_OMax(X1,X0),X0)
% 39.28/40.15      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 39.28/40.15      | X1 = c_emptyset ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21452]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3754,plain,
% 39.28/40.15      ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 39.28/40.15      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11749_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21424,plain,
% 39.28/40.15      ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 39.28/40.15      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3754]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21425,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Power_Orecpower(X0)
% 39.28/40.15      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.15      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21424]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3724,plain,
% 39.28/40.15      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11761_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21364,plain,
% 39.28/40.15      ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3724]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21365,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.15      | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21364]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3721,plain,
% 39.28/40.15      ( 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)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11762_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21358,plain,
% 39.28/40.15      ( 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)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3721]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21359,plain,
% 39.28/40.15      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | 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) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21358]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3718,plain,
% 39.28/40.15      ( 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)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11763_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21352,plain,
% 39.28/40.15      ( 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)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3718]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21353,plain,
% 39.28/40.15      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | 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) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21352]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3696,plain,
% 39.28/40.15      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X2),X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11773_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21308,plain,
% 39.28/40.15      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X2),X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3696]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21309,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X0),X0)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21308]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3686,plain,
% 39.28/40.15      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11778_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21288,plain,
% 39.28/40.15      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3686]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21289,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.15      | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21288]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3670,plain,
% 39.28/40.15      ( ~ c_Infinite__Set_Oatmost__one(X0,X1)
% 39.28/40.15      | ~ c_in(X2,X0,X1)
% 39.28/40.15      | X2 = X3
% 39.28/40.15      | ~ c_in(X3,X0,X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11784_1) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21256,plain,
% 39.28/40.15      ( ~ c_Infinite__Set_Oatmost__one(X0,X1)
% 39.28/40.15      | ~ c_in(X2,X0,X1)
% 39.28/40.15      | X2 = X3
% 39.28/40.15      | ~ c_in(X3,X0,X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3670]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21257,plain,
% 39.28/40.15      ( ~ c_in(X0,X1,X2)
% 39.28/40.15      | ~ c_in(X3,X1,X2)
% 39.28/40.15      | ~ c_Infinite__Set_Oatmost__one(X1,X2)
% 39.28/40.15      | X0 = X3 ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21256]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3668,plain,
% 39.28/40.15      ( X0 = X1
% 39.28/40.15      | ~ c_in(X1,X2,X3)
% 39.28/40.15      | ~ c_in(X0,X2,X3)
% 39.28/40.15      | ~ c_Infinite__Set_Oatmost__one(X2,X3) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11784_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21252,plain,
% 39.28/40.15      ( X0 = X1
% 39.28/40.15      | ~ c_in(X1,X2,X3)
% 39.28/40.15      | ~ c_in(X0,X2,X3)
% 39.28/40.15      | ~ c_Infinite__Set_Oatmost__one(X2,X3) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3668]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21253,plain,
% 39.28/40.15      ( ~ c_in(X0,X1,X2)
% 39.28/40.15      | ~ c_in(X3,X1,X2)
% 39.28/40.15      | ~ c_Infinite__Set_Oatmost__one(X1,X2)
% 39.28/40.15      | X3 = X0 ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21252]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3664,plain,
% 39.28/40.15      ( c_Suc(c_minus(X0,c_Suc(c_0),tc_nat)) = X0 | ~ c_less(c_0,X0,tc_nat) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11787_1) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21244,plain,
% 39.28/40.15      ( c_Suc(c_minus(X0,c_Suc(c_0),tc_nat)) = X0 | ~ c_less(c_0,X0,tc_nat) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3664]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21245,plain,
% 39.28/40.15      ( ~ c_less(c_0,X0,tc_nat) | c_Suc(c_minus(X0,c_1,tc_nat)) = X0 ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21244]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3654,plain,
% 39.28/40.15      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11791_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21224,plain,
% 39.28/40.15      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3654]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21225,plain,
% 39.28/40.15      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21224]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3653,plain,
% 39.28/40.15      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11791_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21222,plain,
% 39.28/40.15      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3653]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21223,plain,
% 39.28/40.15      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21222]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3649,plain,
% 39.28/40.15      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11792_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21214,plain,
% 39.28/40.15      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3649]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21215,plain,
% 39.28/40.15      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21214]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3646,plain,
% 39.28/40.15      ( X0 = X1
% 39.28/40.15      | ~ c_lessequals(X0,X1,tc_set(X2))
% 39.28/40.15      | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11793_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21208,plain,
% 39.28/40.15      ( X0 = X1
% 39.28/40.15      | ~ c_lessequals(X0,X1,tc_set(X2))
% 39.28/40.15      | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3646]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21209,plain,
% 39.28/40.15      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 39.28/40.15      | ~ c_lessequals(X1,X0,tc_set(X2))
% 39.28/40.15      | X0 = X1 ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21208]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3642,plain,
% 39.28/40.15      ( c_less(c_0,X0,X1)
% 39.28/40.15      | ~ c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11794_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21200,plain,
% 39.28/40.15      ( c_less(c_0,X0,X1)
% 39.28/40.15      | ~ c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3642]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21201,plain,
% 39.28/40.15      ( ~ c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 39.28/40.15      | c_less(c_0,X0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21200]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3638,plain,
% 39.28/40.15      ( c_lessequals(X0,c_0,X1)
% 39.28/40.15      | ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11795_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21192,plain,
% 39.28/40.15      ( c_lessequals(X0,c_0,X1)
% 39.28/40.15      | ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3638]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21193,plain,
% 39.28/40.15      ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 39.28/40.15      | c_lessequals(X0,c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21192]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3634,plain,
% 39.28/40.15      ( c_lessequals(c_0,X0,X1)
% 39.28/40.15      | ~ c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11796_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21184,plain,
% 39.28/40.15      ( c_lessequals(c_0,X0,X1)
% 39.28/40.15      | ~ c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3634]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21185,plain,
% 39.28/40.15      ( ~ c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 39.28/40.15      | c_lessequals(c_0,X0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21184]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3630,plain,
% 39.28/40.15      ( c_less(X0,c_0,X1)
% 39.28/40.15      | ~ c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11797_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21176,plain,
% 39.28/40.15      ( c_less(X0,c_0,X1)
% 39.28/40.15      | ~ c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3630]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21177,plain,
% 39.28/40.15      ( ~ c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 39.28/40.15      | c_less(X0,c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21176]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3622,plain,
% 39.28/40.15      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11801_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21160,plain,
% 39.28/40.15      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3622]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21161,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0)
% 39.28/40.15      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21160]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3593,plain,
% 39.28/40.15      ( c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Power_Orecpower(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11809_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21102,plain,
% 39.28/40.15      ( c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Power_Orecpower(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3593]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21103,plain,
% 39.28/40.15      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.15      | ~ class_Power_Orecpower(X0)
% 39.28/40.15      | c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1 ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21102]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3588,plain,
% 39.28/40.15      ( c_Numeral_Onumber__of(X0,X1) = c_0
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11811_2) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21092,plain,
% 39.28/40.15      ( c_Numeral_Onumber__of(X0,X1) = c_0
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 39.28/40.15      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3588]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21093,plain,
% 39.28/40.15      ( ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0)
% 39.28/40.15      | c_Numeral_Onumber__of(X1,X0) = c_0 ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21092]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3557,plain,
% 39.28/40.15      ( X0 = c_emptyset
% 39.28/40.15      | c_in(c_Finite__Set_OMin(X0,X1),X0,X1)
% 39.28/40.15      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.28/40.15      | ~ class_Orderings_Olinorder(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11823_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21030,plain,
% 39.28/40.15      ( X0 = c_emptyset
% 39.28/40.15      | c_in(c_Finite__Set_OMin(X0,X1),X0,X1)
% 39.28/40.15      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.28/40.15      | ~ class_Orderings_Olinorder(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3557]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21031,plain,
% 39.28/40.15      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.15      | c_in(c_Finite__Set_OMin(X1,X0),X1,X0)
% 39.28/40.15      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 39.28/40.15      | X1 = c_emptyset ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21030]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3553,plain,
% 39.28/40.15      ( X0 = c_emptyset
% 39.28/40.15      | c_in(c_Finite__Set_OMax(X0,X1),X0,X1)
% 39.28/40.15      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.28/40.15      | ~ class_Orderings_Olinorder(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11824_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21022,plain,
% 39.28/40.15      ( X0 = c_emptyset
% 39.28/40.15      | c_in(c_Finite__Set_OMax(X0,X1),X0,X1)
% 39.28/40.15      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.28/40.15      | ~ class_Orderings_Olinorder(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3553]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_21023,plain,
% 39.28/40.15      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.15      | c_in(c_Finite__Set_OMax(X1,X0),X1,X0)
% 39.28/40.15      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 39.28/40.15      | X1 = c_emptyset ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_21022]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3505,plain,
% 39.28/40.15      ( c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 39.28/40.15      | ~ c_less(c_0,X0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11841_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_20926,plain,
% 39.28/40.15      ( c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 39.28/40.15      | ~ c_less(c_0,X0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3505]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_20927,plain,
% 39.28/40.15      ( c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 39.28/40.15      | ~ c_less(c_0,X0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_20926]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3501,plain,
% 39.28/40.15      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 39.28/40.15      | ~ c_lessequals(X0,c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11842_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_20918,plain,
% 39.28/40.15      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 39.28/40.15      | ~ c_lessequals(X0,c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3501]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_20919,plain,
% 39.28/40.15      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 39.28/40.15      | ~ c_lessequals(X0,c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_20918]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3497,plain,
% 39.28/40.15      ( c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 39.28/40.15      | ~ c_lessequals(c_0,X0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11843_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_20910,plain,
% 39.28/40.15      ( c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 39.28/40.15      | ~ c_lessequals(c_0,X0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3497]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_20911,plain,
% 39.28/40.15      ( c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 39.28/40.15      | ~ c_lessequals(c_0,X0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_20910]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3493,plain,
% 39.28/40.15      ( c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 39.28/40.15      | ~ c_less(X0,c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11844_3) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_20902,plain,
% 39.28/40.15      ( c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 39.28/40.15      | ~ c_less(X0,c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3493]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_20903,plain,
% 39.28/40.15      ( c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 39.28/40.15      | ~ c_less(X0,c_0,X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.28/40.15      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_20902]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3468,plain,
% 39.28/40.15      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11859_1) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_20852,plain,
% 39.28/40.15      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.15      inference(copy,[status(esa)],[c_3468]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_20853,plain,
% 39.28/40.15      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.15      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 39.28/40.15      inference(rewriting,[status(thm)],[c_20852]) ).
% 39.28/40.15  
% 39.28/40.15  cnf(c_3466,plain,
% 39.28/40.15      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.15      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11859_3) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20848,plain,
% 39.28/40.16      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.16      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3466]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20849,plain,
% 39.28/40.16      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20848]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3395,plain,
% 39.28/40.16      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),X2),X2)
% 39.28/40.16      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X2),X2)
% 39.28/40.16      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.16      | ~ class_Numeral_Onumber__ring(X2) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11898_3) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20706,plain,
% 39.28/40.16      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),X2),X2)
% 39.28/40.16      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X2),X2)
% 39.28/40.16      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.16      | ~ class_Numeral_Onumber__ring(X2) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3395]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20707,plain,
% 39.28/40.16      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.16      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.16      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X0),X0)
% 39.28/40.16      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X0),X0) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20706]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3391,plain,
% 39.28/40.16      ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_Nat_Opower(X0,X2,X1)
% 39.28/40.16      | ~ c_Parity_Oeven(X2,tc_nat)
% 39.28/40.16      | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 39.28/40.16      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11899_3) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20698,plain,
% 39.28/40.16      ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_Nat_Opower(X0,X2,X1)
% 39.28/40.16      | ~ c_Parity_Oeven(X2,tc_nat)
% 39.28/40.16      | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 39.28/40.16      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3391]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20699,plain,
% 39.28/40.16      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.28/40.16      | ~ class_Power_Orecpower(X0)
% 39.28/40.16      | ~ c_Parity_Oeven(X1,tc_nat)
% 39.28/40.16      | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_Nat_Opower(X2,X1,X0) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20698]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3359,plain,
% 39.28/40.16      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.16      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11913_3) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20634,plain,
% 39.28/40.16      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.16      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3359]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20635,plain,
% 39.28/40.16      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20634]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3355,plain,
% 39.28/40.16      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat)
% 39.28/40.16      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11914_3) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20626,plain,
% 39.28/40.16      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat)
% 39.28/40.16      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3355]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20627,plain,
% 39.28/40.16      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20626]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3341,plain,
% 39.28/40.16      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 39.28/40.16      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.16      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.16      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11922_3) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20598,plain,
% 39.28/40.16      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 39.28/40.16      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 39.28/40.16      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.16      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3341]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20599,plain,
% 39.28/40.16      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.16      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.16      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0)
% 39.28/40.16      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20598]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3320,plain,
% 39.28/40.16      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.16      | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11946_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20556,plain,
% 39.28/40.16      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.16      | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3320]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20557,plain,
% 39.28/40.16      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 39.28/40.16      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20556]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3317,plain,
% 39.28/40.16      ( ~ c_Parity_Oeven(X0,tc_nat)
% 39.28/40.16      | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 39.28/40.16      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11947_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20550,plain,
% 39.28/40.16      ( ~ c_Parity_Oeven(X0,tc_nat)
% 39.28/40.16      | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 39.28/40.16      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3317]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20551,plain,
% 39.28/40.16      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 39.28/40.16      | ~ c_Parity_Oeven(X1,tc_nat)
% 39.28/40.16      | ~ c_Parity_Oeven(X0,tc_nat) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20550]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3314,plain,
% 39.28/40.16      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.16      | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11948_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20544,plain,
% 39.28/40.16      ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.16      | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3314]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20545,plain,
% 39.28/40.16      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 39.28/40.16      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20544]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3277,plain,
% 39.28/40.16      ( c_less(c_0,X0,tc_nat)
% 39.28/40.16      | c_Nat_Opower(X1,X0,X2) != c_0
% 39.28/40.16      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.16      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11978_3) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20470,plain,
% 39.28/40.16      ( c_less(c_0,X0,tc_nat)
% 39.28/40.16      | c_Nat_Opower(X1,X0,X2) != c_0
% 39.28/40.16      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.16      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3277]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20471,plain,
% 39.28/40.16      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.16      | ~ class_Power_Orecpower(X0)
% 39.28/40.16      | c_less(c_0,X1,tc_nat)
% 39.28/40.16      | c_Nat_Opower(X2,X1,X0) != c_0 ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20470]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3273,plain,
% 39.28/40.16      ( c_less(c_1,X0,tc_IntDef_Oint)
% 39.28/40.16      | ~ c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11982_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20462,plain,
% 39.28/40.16      ( c_less(c_1,X0,tc_IntDef_Oint)
% 39.28/40.16      | ~ c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3273]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20463,plain,
% 39.28/40.16      ( ~ c_less(c_1,c_IntDef_Onat(X0),tc_nat)
% 39.28/40.16      | c_less(c_1,X0,tc_IntDef_Oint) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20462]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3270,plain,
% 39.28/40.16      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB1),X1),X1)
% 39.28/40.16      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.16      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11983_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20456,plain,
% 39.28/40.16      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB1),X1),X1)
% 39.28/40.16      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.16      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3270]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20457,plain,
% 39.28/40.16      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.16      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.16      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),X0),X0) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20456]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3258,plain,
% 39.28/40.16      ( c_Nat_Opower(c_0,X0,X1) = c_0
% 39.28/40.16      | ~ c_less(c_0,X0,tc_nat)
% 39.28/40.16      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.16      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11988_3) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20432,plain,
% 39.28/40.16      ( c_Nat_Opower(c_0,X0,X1) = c_0
% 39.28/40.16      | ~ c_less(c_0,X0,tc_nat)
% 39.28/40.16      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.16      | ~ class_Power_Orecpower(X1) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3258]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20433,plain,
% 39.28/40.16      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.16      | ~ class_Power_Orecpower(X0)
% 39.28/40.16      | ~ c_less(c_0,X1,tc_nat)
% 39.28/40.16      | c_Nat_Opower(c_0,X1,X0) = c_0 ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20432]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3243,plain,
% 39.28/40.16      ( c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 39.28/40.16      | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.28/40.16      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.16      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11994_3) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20402,plain,
% 39.28/40.16      ( c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 39.28/40.16      | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 39.28/40.16      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 39.28/40.16      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3243]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20403,plain,
% 39.28/40.16      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.16      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.16      | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 39.28/40.16      | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20402]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3229,plain,
% 39.28/40.16      ( c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat)
% 39.28/40.16      | ~ c_less(c_1,X0,tc_IntDef_Oint) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12004_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20374,plain,
% 39.28/40.16      ( c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat)
% 39.28/40.16      | ~ c_less(c_1,X0,tc_IntDef_Oint) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3229]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20375,plain,
% 39.28/40.16      ( c_less(c_1,c_IntDef_Onat(X0),tc_nat)
% 39.28/40.16      | ~ c_less(c_1,X0,tc_IntDef_Oint) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20374]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3223,plain,
% 39.28/40.16      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.16      | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12008_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20362,plain,
% 39.28/40.16      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.16      | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3223]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20363,plain,
% 39.28/40.16      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 39.28/40.16      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20362]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3220,plain,
% 39.28/40.16      ( c_Parity_Oeven(X0,tc_nat)
% 39.28/40.16      | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 39.28/40.16      | c_Parity_Oeven(X1,tc_nat) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12009_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20356,plain,
% 39.28/40.16      ( c_Parity_Oeven(X0,tc_nat)
% 39.28/40.16      | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 39.28/40.16      | c_Parity_Oeven(X1,tc_nat) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3220]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20357,plain,
% 39.28/40.16      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 39.28/40.16      | c_Parity_Oeven(X1,tc_nat)
% 39.28/40.16      | c_Parity_Oeven(X0,tc_nat) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20356]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3217,plain,
% 39.28/40.16      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.16      | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12010_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20350,plain,
% 39.28/40.16      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.28/40.16      | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3217]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20351,plain,
% 39.28/40.16      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 39.28/40.16      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20350]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3197,plain,
% 39.28/40.16      ( X0 = c_0
% 39.28/40.16      | c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2) != c_0
% 39.28/40.16      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.16      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12018_3) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20310,plain,
% 39.28/40.16      ( X0 = c_0
% 39.28/40.16      | c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2) != c_0
% 39.28/40.16      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.16      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3197]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20311,plain,
% 39.28/40.16      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.16      | ~ class_Power_Orecpower(X0)
% 39.28/40.16      | c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0) != c_0
% 39.28/40.16      | X1 = c_0 ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20310]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3193,plain,
% 39.28/40.16      ( c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Suc(c_0)
% 39.28/40.16      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12020_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20302,plain,
% 39.28/40.16      ( c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Suc(c_0)
% 39.28/40.16      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3193]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20303,plain,
% 39.28/40.16      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_1 ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20302]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3190,plain,
% 39.28/40.16      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.16      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12021_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20296,plain,
% 39.28/40.16      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.16      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3190]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20297,plain,
% 39.28/40.16      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20296]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3187,plain,
% 39.28/40.16      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.16      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12022_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20290,plain,
% 39.28/40.16      ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.28/40.16      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3187]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20291,plain,
% 39.28/40.16      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20290]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3152,plain,
% 39.28/40.16      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 39.28/40.16      | c_Numeral_Onumber__of(X0,X1) != c_0
% 39.28/40.16      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12045_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20220,plain,
% 39.28/40.16      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 39.28/40.16      | c_Numeral_Onumber__of(X0,X1) != c_0
% 39.28/40.16      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3152]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20221,plain,
% 39.28/40.16      ( ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.16      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0)
% 39.28/40.16      | c_Numeral_Onumber__of(X1,X0) != c_0 ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20220]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3103,plain,
% 39.28/40.16      ( c_uminus(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 39.28/40.16      | ~ class_OrderedGroup_Oab__group__add(X1)
% 39.28/40.16      | ~ class_Numeral_Onumber(X1) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12071_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20122,plain,
% 39.28/40.16      ( c_uminus(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 39.28/40.16      | ~ class_OrderedGroup_Oab__group__add(X1)
% 39.28/40.16      | ~ class_Numeral_Onumber(X1) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3103]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20123,plain,
% 39.28/40.16      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 39.28/40.16      | ~ class_Numeral_Onumber(X0)
% 39.28/40.16      | c_uminus(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20122]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3073,plain,
% 39.28/40.16      ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0)
% 39.28/40.16      | c_Parity_Oeven(X1,tc_nat)
% 39.28/40.16      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.28/40.16      | ~ class_Power_Orecpower(X0) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12087_3) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20062,plain,
% 39.28/40.16      ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0)
% 39.28/40.16      | c_Parity_Oeven(X1,tc_nat)
% 39.28/40.16      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.28/40.16      | ~ class_Power_Orecpower(X0) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3073]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20063,plain,
% 39.28/40.16      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.28/40.16      | ~ class_Power_Orecpower(X0)
% 39.28/40.16      | c_Parity_Oeven(X1,tc_nat)
% 39.28/40.16      | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20062]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3055,plain,
% 39.28/40.16      ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1
% 39.28/40.16      | ~ c_Parity_Oeven(X1,tc_nat)
% 39.28/40.16      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.28/40.16      | ~ class_Power_Orecpower(X0) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12093_3) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20026,plain,
% 39.28/40.16      ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1
% 39.28/40.16      | ~ c_Parity_Oeven(X1,tc_nat)
% 39.28/40.16      | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.28/40.16      | ~ class_Power_Orecpower(X0) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3055]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_20027,plain,
% 39.28/40.16      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.28/40.16      | ~ class_Power_Orecpower(X0)
% 39.28/40.16      | ~ c_Parity_Oeven(X1,tc_nat)
% 39.28/40.16      | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1 ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_20026]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_3002,plain,
% 39.28/40.16      ( X0 = c_0
% 39.28/40.16      | c_Nat_Opower(X0,X1,X2) != c_0
% 39.28/40.16      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.16      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12117_3) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19920,plain,
% 39.28/40.16      ( X0 = c_0
% 39.28/40.16      | c_Nat_Opower(X0,X1,X2) != c_0
% 39.28/40.16      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 39.28/40.16      | ~ class_Power_Orecpower(X2) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_3002]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19921,plain,
% 39.28/40.16      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.16      | ~ class_Power_Orecpower(X0)
% 39.28/40.16      | c_Nat_Opower(X1,X2,X0) != c_0
% 39.28/40.16      | X1 = c_0 ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_19920]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_2985,plain,
% 39.28/40.16      ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = X2
% 39.28/40.16      | c_uminus(X2,X1) != c_Numeral_Onumber__of(X0,X1)
% 39.28/40.16      | ~ class_OrderedGroup_Oab__group__add(X1)
% 39.28/40.16      | ~ class_Numeral_Onumber(X1) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12124_3) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19886,plain,
% 39.28/40.16      ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = X2
% 39.28/40.16      | c_uminus(X2,X1) != c_Numeral_Onumber__of(X0,X1)
% 39.28/40.16      | ~ class_OrderedGroup_Oab__group__add(X1)
% 39.28/40.16      | ~ class_Numeral_Onumber(X1) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_2985]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19887,plain,
% 39.28/40.16      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 39.28/40.16      | ~ class_Numeral_Onumber(X0)
% 39.28/40.16      | c_uminus(c_Numeral_Onumber__of(X1,X0),X0) = X2
% 39.28/40.16      | c_uminus(X2,X0) != c_Numeral_Onumber__of(X1,X0) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_19886]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_2981,plain,
% 39.28/40.16      ( X0 = c_uminus(c_Numeral_Onumber__of(X1,X2),X2)
% 39.28/40.16      | c_Numeral_Onumber__of(X1,X2) != c_uminus(X0,X2)
% 39.28/40.16      | ~ class_OrderedGroup_Oab__group__add(X2)
% 39.28/40.16      | ~ class_Numeral_Onumber(X2) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12125_3) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19878,plain,
% 39.28/40.16      ( X0 = c_uminus(c_Numeral_Onumber__of(X1,X2),X2)
% 39.28/40.16      | c_Numeral_Onumber__of(X1,X2) != c_uminus(X0,X2)
% 39.28/40.16      | ~ class_OrderedGroup_Oab__group__add(X2)
% 39.28/40.16      | ~ class_Numeral_Onumber(X2) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_2981]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19879,plain,
% 39.28/40.16      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 39.28/40.16      | ~ class_Numeral_Onumber(X0)
% 39.28/40.16      | c_Numeral_Onumber__of(X1,X0) != c_uminus(X2,X0)
% 39.28/40.16      | X2 = c_uminus(c_Numeral_Onumber__of(X1,X0),X0) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_19878]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_2916,plain,
% 39.28/40.16      ( X0 = c_Suc(c_0) | ~ c_Divides_Oop_Advd(X0,c_Suc(c_0),tc_nat) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12155_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19748,plain,
% 39.28/40.16      ( X0 = c_Suc(c_0) | ~ c_Divides_Oop_Advd(X0,c_Suc(c_0),tc_nat) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_2916]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19749,plain,
% 39.28/40.16      ( ~ c_Divides_Oop_Advd(X0,c_1,tc_nat) | X0 = c_1 ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_19748]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_2889,plain,
% 39.28/40.16      ( X0 = c_1 | c_times(X1,X0,tc_nat) != c_Suc(c_0) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12167_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19694,plain,
% 39.28/40.16      ( X0 = c_1 | c_times(X1,X0,tc_nat) != c_Suc(c_0) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_2889]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19695,plain,
% 39.28/40.16      ( c_times(X0,X1,tc_nat) != c_1 | X1 = c_1 ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_19694]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_2887,plain,
% 39.28/40.16      ( X0 = c_1 | c_times(X0,X1,tc_nat) != c_Suc(c_0) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12168_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19690,plain,
% 39.28/40.16      ( X0 = c_1 | c_times(X0,X1,tc_nat) != c_Suc(c_0) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_2887]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19691,plain,
% 39.28/40.16      ( c_times(X0,X1,tc_nat) != c_1 | X0 = c_1 ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_19690]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_2794,plain,
% 39.28/40.16      ( X0 = c_0
% 39.28/40.16      | c_lessequals(X0,X1,tc_nat)
% 39.28/40.16      | c_List_Oupt(X1,X0) != c_List_Olist_ONil ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12234_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19504,plain,
% 39.28/40.16      ( X0 = c_0
% 39.28/40.16      | c_lessequals(X0,X1,tc_nat)
% 39.28/40.16      | c_List_Oupt(X1,X0) != c_List_Olist_ONil ),
% 39.28/40.16      inference(copy,[status(esa)],[c_2794]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19505,plain,
% 39.28/40.16      ( c_lessequals(X0,X1,tc_nat)
% 39.28/40.16      | c_List_Oupt(X1,X0) != c_List_Olist_ONil
% 39.28/40.16      | X0 = c_0 ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_19504]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_2783,plain,
% 39.28/40.16      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 39.28/40.16      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.16      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12241_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19482,plain,
% 39.28/40.16      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 39.28/40.16      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.16      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_2783]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19483,plain,
% 39.28/40.16      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.16      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.16      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_19482]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_2623,plain,
% 39.28/40.16      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 39.28/40.16      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.16      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12415_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19162,plain,
% 39.28/40.16      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 39.28/40.16      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.16      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_2623]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19163,plain,
% 39.28/40.16      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.16      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.16      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_19162]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_2617,plain,
% 39.28/40.16      ( c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1
% 39.28/40.16      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.16      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12417_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19150,plain,
% 39.28/40.16      ( c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1
% 39.28/40.16      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.16      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_2617]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19151,plain,
% 39.28/40.16      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.28/40.16      | ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.16      | c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1 ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_19150]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_2599,plain,
% 39.28/40.16      ( ~ class_Finite__Set_Ofinite(X0)
% 39.28/40.16      | class_Finite__Set_Ofinite(tc_sum(X1,X0))
% 39.28/40.16      | ~ class_Finite__Set_Ofinite(X1) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12434_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19114,plain,
% 39.28/40.16      ( ~ class_Finite__Set_Ofinite(X0)
% 39.28/40.16      | class_Finite__Set_Ofinite(tc_sum(X1,X0))
% 39.28/40.16      | ~ class_Finite__Set_Ofinite(X1) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_2599]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19115,plain,
% 39.28/40.16      ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 39.28/40.16      | ~ class_Finite__Set_Ofinite(X1)
% 39.28/40.16      | ~ class_Finite__Set_Ofinite(X0) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_19114]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_2596,plain,
% 39.28/40.16      ( ~ class_Finite__Set_Ofinite(X0)
% 39.28/40.16      | class_Finite__Set_Ofinite(tc_prod(X1,X0))
% 39.28/40.16      | ~ class_Finite__Set_Ofinite(X1) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12435_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19108,plain,
% 39.28/40.16      ( ~ class_Finite__Set_Ofinite(X0)
% 39.28/40.16      | class_Finite__Set_Ofinite(tc_prod(X1,X0))
% 39.28/40.16      | ~ class_Finite__Set_Ofinite(X1) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_2596]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19109,plain,
% 39.28/40.16      ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 39.28/40.16      | ~ class_Finite__Set_Ofinite(X1)
% 39.28/40.16      | ~ class_Finite__Set_Ofinite(X0) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_19108]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_2593,plain,
% 39.28/40.16      ( ~ class_Finite__Set_Ofinite(X0)
% 39.28/40.16      | class_Finite__Set_Ofinite(tc_fun(X1,X0))
% 39.28/40.16      | ~ class_Finite__Set_Ofinite(X1) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12436_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19102,plain,
% 39.28/40.16      ( ~ class_Finite__Set_Ofinite(X0)
% 39.28/40.16      | class_Finite__Set_Ofinite(tc_fun(X1,X0))
% 39.28/40.16      | ~ class_Finite__Set_Ofinite(X1) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_2593]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_19103,plain,
% 39.28/40.16      ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 39.28/40.16      | ~ class_Finite__Set_Ofinite(X1)
% 39.28/40.16      | ~ class_Finite__Set_Ofinite(X0) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_19102]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_316,plain,
% 39.28/40.16      ( c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12306_0) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_14788,plain,
% 39.28/40.16      ( c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_316]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_14789,plain,
% 39.28/40.16      ( c_Divides_Oop_Advd(c_1,c_1,tc_nat) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_14788]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_306,plain,
% 39.28/40.16      ( c_Divides_Oop_Advd(c_Suc(c_0),X0,tc_nat) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12323_0) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_14771,plain,
% 39.28/40.16      ( c_Divides_Oop_Advd(c_Suc(c_0),X0,tc_nat) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_306]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_14772,plain,
% 39.28/40.16      ( c_Divides_Oop_Advd(c_1,X0,tc_nat) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_14771]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_302,plain,
% 39.28/40.16      ( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12330_0) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_14765,plain,
% 39.28/40.16      ( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_302]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_14766,plain,
% 39.28/40.16      ( c_lessequals(c_0,c_0,tc_IntDef_Oint) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_14765]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5986,plain,
% 39.28/40.16      ( 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))
% 39.28/40.16      | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10940_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25888,plain,
% 39.28/40.16      ( 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))
% 39.28/40.16      | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5986]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5984,plain,
% 39.28/40.16      ( 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))
% 39.28/40.16      | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10941_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25884,plain,
% 39.28/40.16      ( 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))
% 39.28/40.16      | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5984]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5982,plain,
% 39.28/40.16      ( 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
% 39.28/40.16      | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10942_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25880,plain,
% 39.28/40.16      ( 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
% 39.28/40.16      | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5982]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25881,plain,
% 39.28/40.16      ( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
% 39.28/40.16      | 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 ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25880]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5980,plain,
% 39.28/40.16      ( 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
% 39.28/40.16      | ~ 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)))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10943_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25876,plain,
% 39.28/40.16      ( 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
% 39.28/40.16      | ~ 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)))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5980]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25877,plain,
% 39.28/40.16      ( ~ 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))))
% 39.28/40.16      | 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 ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25876]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5978,plain,
% 39.28/40.16      ( 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))))
% 39.28/40.16      | ~ 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)))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10944_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25872,plain,
% 39.28/40.16      ( 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))))
% 39.28/40.16      | ~ 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)))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5978]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5976,plain,
% 39.28/40.16      ( 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))))
% 39.28/40.16      | ~ 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)))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10945_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25868,plain,
% 39.28/40.16      ( 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))))
% 39.28/40.16      | ~ 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)))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5976]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5965,plain,
% 39.28/40.16      ( 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)))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10949_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25846,plain,
% 39.28/40.16      ( 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)))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5965]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5963,plain,
% 39.28/40.16      ( 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)))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10950_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25842,plain,
% 39.28/40.16      ( 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)))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5963]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25843,plain,
% 39.28/40.16      ( ~ 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)))
% 39.28/40.16      | 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))) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25842]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5960,plain,
% 39.28/40.16      ( 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))))
% 39.28/40.16      | ~ 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))))
% 39.28/40.16      | ~ 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)))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10951_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25836,plain,
% 39.28/40.16      ( 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))))
% 39.28/40.16      | ~ 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))))
% 39.28/40.16      | ~ 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)))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5960]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5958,plain,
% 39.28/40.16      ( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X0,X1,X2,X3,X4),X2,X4,X4),X0,tc_prod(X4,X4))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10952_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25832,plain,
% 39.28/40.16      ( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X0,X1,X2,X3,X4),X2,X4,X4),X0,tc_prod(X4,X4))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5958]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5956,plain,
% 39.28/40.16      ( c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X1,X2,X0,X3,X4),X4,X4),X1,tc_prod(X4,X4))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10953_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25828,plain,
% 39.28/40.16      ( c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X1,X2,X0,X3,X4),X4,X4),X1,tc_prod(X4,X4))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5956]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25829,plain,
% 39.28/40.16      ( ~ 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)))
% 39.28/40.16      | c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X4,X3,X0,X1,X2),X2,X2),X4,tc_prod(X2,X2)) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25828]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5953,plain,
% 39.28/40.16      ( 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
% 39.28/40.16      | 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
% 39.28/40.16      | ~ 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)))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10954_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25822,plain,
% 39.28/40.16      ( 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
% 39.28/40.16      | 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
% 39.28/40.16      | ~ 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)))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5953]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25823,plain,
% 39.28/40.16      ( ~ 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))))
% 39.28/40.16      | 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
% 39.28/40.16      | 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 ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25822]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5951,plain,
% 39.28/40.16      ( c_in(c_Pair(c_Main_OImageE__1(X0,X1,X2,X3,X4),X1,X3,X4),X2,tc_prod(X3,X4))
% 39.28/40.16      | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10955_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25818,plain,
% 39.28/40.16      ( c_in(c_Pair(c_Main_OImageE__1(X0,X1,X2,X3,X4),X1,X3,X4),X2,tc_prod(X3,X4))
% 39.28/40.16      | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5951]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5949,plain,
% 39.28/40.16      ( 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
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10956_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25814,plain,
% 39.28/40.16      ( 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
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5949]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25815,plain,
% 39.28/40.16      ( ~ 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)))
% 39.28/40.16      | 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 ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25814]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5947,plain,
% 39.28/40.16      ( 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
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10957_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25810,plain,
% 39.28/40.16      ( 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
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5947]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25811,plain,
% 39.28/40.16      ( ~ 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)))
% 39.28/40.16      | 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 ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25810]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5945,plain,
% 39.28/40.16      ( 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
% 39.28/40.16      | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10958_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25806,plain,
% 39.28/40.16      ( 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
% 39.28/40.16      | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5945]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25807,plain,
% 39.28/40.16      ( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 39.28/40.16      | 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 ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25806]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5942,plain,
% 39.28/40.16      ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 39.28/40.16      | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6))
% 39.28/40.16      | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3)) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10959_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25800,plain,
% 39.28/40.16      ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 39.28/40.16      | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6))
% 39.28/40.16      | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3)) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5942]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5940,plain,
% 39.28/40.16      ( c_plus(X0,X1,tc_nat) = c_plus(X2,X3,tc_nat)
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10960_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25796,plain,
% 39.28/40.16      ( c_plus(X0,X1,tc_nat) = c_plus(X2,X3,tc_nat)
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5940]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25797,plain,
% 39.28/40.16      ( ~ 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)))
% 39.28/40.16      | c_plus(X0,X3,tc_nat) = c_plus(X2,X1,tc_nat) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25796]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5934,plain,
% 39.28/40.16      ( 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))
% 39.28/40.16      | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10962_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25784,plain,
% 39.28/40.16      ( 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))
% 39.28/40.16      | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5934]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25785,plain,
% 39.28/40.16      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | 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)) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25784]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5929,plain,
% 39.28/40.16      ( 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))))
% 39.28/40.16      | ~ 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)))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10964_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25774,plain,
% 39.28/40.16      ( 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))))
% 39.28/40.16      | ~ 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)))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5929]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5927,plain,
% 39.28/40.16      ( 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))))
% 39.28/40.16      | ~ 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)))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10965_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25770,plain,
% 39.28/40.16      ( 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))))
% 39.28/40.16      | ~ 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)))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5927]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5922,plain,
% 39.28/40.16      ( c_in(c_Main_OuprodE__1(X0,X1,X2,X3,X4),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 39.28/40.16      | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10967_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25760,plain,
% 39.28/40.16      ( c_in(c_Main_OuprodE__1(X0,X1,X2,X3,X4),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 39.28/40.16      | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5922]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5920,plain,
% 39.28/40.16      ( c_in(c_Main_OuprodE__2(X0,X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 39.28/40.16      | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10968_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25756,plain,
% 39.28/40.16      ( c_in(c_Main_OuprodE__2(X0,X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 39.28/40.16      | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5920]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5917,plain,
% 39.28/40.16      ( 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)
% 39.28/40.16      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.28/40.16      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10969_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25750,plain,
% 39.28/40.16      ( 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)
% 39.28/40.16      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.28/40.16      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5917]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25751,plain,
% 39.28/40.16      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.28/40.16      | 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) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25750]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5911,plain,
% 39.28/40.16      ( 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)
% 39.28/40.16      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.28/40.16      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10971_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25738,plain,
% 39.28/40.16      ( 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)
% 39.28/40.16      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.28/40.16      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5911]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25739,plain,
% 39.28/40.16      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.16      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.28/40.16      | 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) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25738]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5906,plain,
% 39.28/40.16      ( c_in(c_Main_OImageE__1(X0,X1,X2,X3,X4),X0,X3)
% 39.28/40.16      | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10973_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25728,plain,
% 39.28/40.16      ( c_in(c_Main_OImageE__1(X0,X1,X2,X3,X4),X0,X3)
% 39.28/40.16      | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5906]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5904,plain,
% 39.28/40.16      ( 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)
% 39.28/40.16      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10974_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25724,plain,
% 39.28/40.16      ( 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)
% 39.28/40.16      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5904]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25725,plain,
% 39.28/40.16      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.28/40.16      | 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) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25724]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5902,plain,
% 39.28/40.16      ( 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)
% 39.28/40.16      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10975_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25720,plain,
% 39.28/40.16      ( 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)
% 39.28/40.16      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5902]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25721,plain,
% 39.28/40.16      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.28/40.16      | 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) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25720]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5899,plain,
% 39.28/40.16      ( 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)))
% 39.28/40.16      | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10976_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25714,plain,
% 39.28/40.16      ( 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)))
% 39.28/40.16      | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5899]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25715,plain,
% 39.28/40.16      ( ~ 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)))
% 39.28/40.16      | 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)))
% 39.28/40.16      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25714]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5896,plain,
% 39.28/40.16      ( 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)))
% 39.28/40.16      | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10977_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25708,plain,
% 39.28/40.16      ( 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)))
% 39.28/40.16      | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5896]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25709,plain,
% 39.28/40.16      ( ~ 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)))
% 39.28/40.16      | 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)))
% 39.28/40.16      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25708]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5894,plain,
% 39.28/40.16      ( 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)))
% 39.28/40.16      | c_plus(X0,X3,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10979_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25704,plain,
% 39.28/40.16      ( 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)))
% 39.28/40.16      | c_plus(X0,X3,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5894]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5892,plain,
% 39.28/40.16      ( 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))
% 39.28/40.16      | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10980_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25700,plain,
% 39.28/40.16      ( 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))
% 39.28/40.16      | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5892]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5890,plain,
% 39.28/40.16      ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 39.28/40.16      | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10981_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25696,plain,
% 39.28/40.16      ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 39.28/40.16      | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5890]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25697,plain,
% 39.28/40.16      ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 39.28/40.16      | ~ c_in(c_Pair(X1,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25696]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5888,plain,
% 39.28/40.16      ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 39.28/40.16      | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10982_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25692,plain,
% 39.28/40.16      ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 39.28/40.16      | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5888]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5885,plain,
% 39.28/40.16      ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 39.28/40.16      | 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)))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10983_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25686,plain,
% 39.28/40.16      ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 39.28/40.16      | 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)))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5885]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25687,plain,
% 39.28/40.16      ( ~ 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)))
% 39.28/40.16      | 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)))
% 39.28/40.16      | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X4,tc_List_Olist(X2)) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25686]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5882,plain,
% 39.28/40.16      ( X0 = X1
% 39.28/40.16      | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10984_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25680,plain,
% 39.28/40.16      ( X0 = X1
% 39.28/40.16      | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5882]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25681,plain,
% 39.28/40.16      ( ~ 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)))
% 39.28/40.16      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 39.28/40.16      | X0 = X3 ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25680]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5879,plain,
% 39.28/40.16      ( X0 = X1
% 39.28/40.16      | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10985_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25674,plain,
% 39.28/40.16      ( X0 = X1
% 39.28/40.16      | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5879]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25675,plain,
% 39.28/40.16      ( ~ 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)))
% 39.28/40.16      | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 39.28/40.16      | X0 = X3 ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25674]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5868,plain,
% 39.28/40.16      ( 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)))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10989_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25652,plain,
% 39.28/40.16      ( 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)))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5868]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5866,plain,
% 39.28/40.16      ( 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)))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10990_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25648,plain,
% 39.28/40.16      ( 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)))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5866]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5864,plain,
% 39.28/40.16      ( 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)))
% 39.28/40.16      | 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)) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10991_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25644,plain,
% 39.28/40.16      ( 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)))
% 39.28/40.16      | 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)) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5864]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5861,plain,
% 39.28/40.16      ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 39.28/40.16      | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X4,X1,X2,X3),X2,X3) = X1
% 39.28/40.16      | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10992_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25638,plain,
% 39.28/40.16      ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 39.28/40.16      | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X4,X1,X2,X3),X2,X3) = X1
% 39.28/40.16      | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5861]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25639,plain,
% 39.28/40.16      ( ~ c_in(X0,c_Datatype__Universe_Ousum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 39.28/40.16      | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X1,X0,X3,X4),X3,X4) = X0
% 39.28/40.16      | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X0,X3,X4),X3,X4) = X0 ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25638]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5856,plain,
% 39.28/40.16      ( 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))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10994_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25628,plain,
% 39.28/40.16      ( 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))
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5856]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25629,plain,
% 39.28/40.16      ( ~ 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)))
% 39.28/40.16      | 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)) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25628]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5853,plain,
% 39.28/40.16      ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 39.28/40.16      | c_Sum__Type_OInl(c_Main_OPlusE__1(X4,X1,X3,X2),X3,X2) = X1
% 39.28/40.16      | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10995_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25622,plain,
% 39.28/40.16      ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 39.28/40.16      | c_Sum__Type_OInl(c_Main_OPlusE__1(X4,X1,X3,X2),X3,X2) = X1
% 39.28/40.16      | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5853]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25623,plain,
% 39.28/40.16      ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 39.28/40.16      | c_Sum__Type_OInl(c_Main_OPlusE__1(X1,X0,X3,X4),X3,X4) = X0
% 39.28/40.16      | c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X0,X4,X3),X4,X3) = X0 ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25622]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5842,plain,
% 39.28/40.16      ( 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)))
% 39.28/40.16      | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11000_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25600,plain,
% 39.28/40.16      ( 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)))
% 39.28/40.16      | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5842]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5840,plain,
% 39.28/40.16      ( c_Wellfounded__Recursion_Owf(X0,X1)
% 39.28/40.16      | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11001_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25596,plain,
% 39.28/40.16      ( c_Wellfounded__Recursion_Owf(X0,X1)
% 39.28/40.16      | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5840]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25597,plain,
% 39.28/40.16      ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 39.28/40.16      | c_Wellfounded__Recursion_Owf(X3,X2) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25596]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5838,plain,
% 39.28/40.16      ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 39.28/40.16      | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11002_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25592,plain,
% 39.28/40.16      ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 39.28/40.16      | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5838]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25593,plain,
% 39.28/40.16      ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 39.28/40.16      | c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25592]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5836,plain,
% 39.28/40.16      ( c_in(c_Pair(c_Main_ORangeE__1(X0,X1,X2,X3),X0,X3,X2),X1,tc_prod(X3,X2))
% 39.28/40.16      | ~ c_in(X0,c_Relation_ORange(X1,X3,X2),X2) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11003_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25588,plain,
% 39.28/40.16      ( c_in(c_Pair(c_Main_ORangeE__1(X0,X1,X2,X3),X0,X3,X2),X1,tc_prod(X3,X2))
% 39.28/40.16      | ~ c_in(X0,c_Relation_ORange(X1,X3,X2),X2) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5836]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5834,plain,
% 39.28/40.16      ( c_in(c_Pair(X0,c_Main_ODomainE__1(X0,X1,X2,X3),X2,X3),X1,tc_prod(X2,X3))
% 39.28/40.16      | ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11004_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25584,plain,
% 39.28/40.16      ( c_in(c_Pair(X0,c_Main_ODomainE__1(X0,X1,X2,X3),X2,X3),X1,tc_prod(X2,X3))
% 39.28/40.16      | ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5834]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5828,plain,
% 39.28/40.16      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 39.28/40.16      | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 39.28/40.16      | ~ c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11006_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25572,plain,
% 39.28/40.16      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 39.28/40.16      | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 39.28/40.16      | ~ c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5828]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5826,plain,
% 39.28/40.16      ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 39.28/40.16      | ~ c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11007_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25568,plain,
% 39.28/40.16      ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 39.28/40.16      | ~ c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5826]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5823,plain,
% 39.28/40.16      ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 39.28/40.16      | X3 = X4
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11008_2) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25562,plain,
% 39.28/40.16      ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 39.28/40.16      | X3 = X4
% 39.28/40.16      | ~ 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))) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5823]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25563,plain,
% 39.28/40.16      ( ~ 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)))
% 39.28/40.16      | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X4,tc_List_Olist(X2))
% 39.28/40.16      | X0 = X3 ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25562]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5821,plain,
% 39.28/40.16      ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 39.28/40.16      | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11009_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25558,plain,
% 39.28/40.16      ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 39.28/40.16      | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5821]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25559,plain,
% 39.28/40.16      ( ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 39.28/40.16      | c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25558]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5819,plain,
% 39.28/40.16      ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 39.28/40.16      | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11010_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25554,plain,
% 39.28/40.16      ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 39.28/40.16      | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5819]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25555,plain,
% 39.28/40.16      ( ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 39.28/40.16      | c_Divides_Oop_Advd(X0,X1,tc_nat) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25554]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5817,plain,
% 39.28/40.16      ( c_in(X0,c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,X4),X4)
% 39.28/40.16      | ~ c_in(c_Pair(X2,X0,X3,X4),X1,tc_prod(X3,X4)) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11011_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25550,plain,
% 39.28/40.16      ( c_in(X0,c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,X4),X4)
% 39.28/40.16      | ~ c_in(c_Pair(X2,X0,X3,X4),X1,tc_prod(X3,X4)) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5817]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25551,plain,
% 39.28/40.16      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 39.28/40.16      | c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25550]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5815,plain,
% 39.28/40.16      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 39.28/40.16      | 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)
% 39.28/40.16      | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11012_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25546,plain,
% 39.28/40.16      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 39.28/40.16      | 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)
% 39.28/40.16      | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 39.28/40.16      inference(copy,[status(esa)],[c_5815]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25547,plain,
% 39.28/40.16      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 39.28/40.16      | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3))
% 39.28/40.16      | 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) ),
% 39.28/40.16      inference(rewriting,[status(thm)],[c_25546]) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_5812,plain,
% 39.28/40.16      ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 39.28/40.16      | ~ c_in(c_Pair(X1,X0,X3,X2),c_Relation_Oconverse(X4,X2,X3),tc_prod(X3,X2)) ),
% 39.28/40.16      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11013_1) ).
% 39.28/40.16  
% 39.28/40.16  cnf(c_25540,plain,
% 39.28/40.16      ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 39.28/40.17      | ~ c_in(c_Pair(X1,X0,X3,X2),c_Relation_Oconverse(X4,X2,X3),tc_prod(X3,X2)) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5812]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25541,plain,
% 39.28/40.17      ( ~ c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 39.28/40.17      | c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_25540]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5810,plain,
% 39.28/40.17      ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 39.28/40.17      | ~ c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11016_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25536,plain,
% 39.28/40.17      ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 39.28/40.17      | ~ c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5810]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5801,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.28/40.17      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11019_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25518,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.28/40.17      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5801]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25519,plain,
% 39.28/40.17      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.17      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.28/40.17      | 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) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_25518]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5795,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.28/40.17      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11021_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25506,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.28/40.17      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5795]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25507,plain,
% 39.28/40.17      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.17      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.28/40.17      | 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) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_25506]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5793,plain,
% 39.28/40.17      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 39.28/40.17      | ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2)) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11023_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25502,plain,
% 39.28/40.17      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 39.28/40.17      | ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2)) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5793]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5788,plain,
% 39.28/40.17      ( c_Pair(c_Main_OconverseE__2(X0,X1,X2,X3),c_Main_OconverseE__1(X0,X1,X2,X3),X3,X2) = X1
% 39.28/40.17      | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11025_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25492,plain,
% 39.28/40.17      ( c_Pair(c_Main_OconverseE__2(X0,X1,X2,X3),c_Main_OconverseE__1(X0,X1,X2,X3),X3,X2) = X1
% 39.28/40.17      | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5788]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25493,plain,
% 39.28/40.17      ( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
% 39.28/40.17      | c_Pair(c_Main_OconverseE__2(X1,X0,X2,X3),c_Main_OconverseE__1(X1,X0,X2,X3),X3,X2) = X0 ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_25492]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5786,plain,
% 39.28/40.17      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
% 39.28/40.17      | ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11027_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25488,plain,
% 39.28/40.17      ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
% 39.28/40.17      | ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5786]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5783,plain,
% 39.28/40.17      ( 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)))
% 39.28/40.17      | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 39.28/40.17      | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11028_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25482,plain,
% 39.28/40.17      ( 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)))
% 39.28/40.17      | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 39.28/40.17      | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5783]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5777,plain,
% 39.28/40.17      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 39.28/40.17      | c_Map_Omap__of(c_List_Ozip(X0,X2,X1,X3),X4,X1,X3) != c_Datatype_Ooption_ONone
% 39.28/40.17      | ~ c_in(X4,c_List_Oset(X0,X1),X1) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11030_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25470,plain,
% 39.28/40.17      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 39.28/40.17      | c_Map_Omap__of(c_List_Ozip(X0,X2,X1,X3),X4,X1,X3) != c_Datatype_Ooption_ONone
% 39.28/40.17      | ~ c_in(X4,c_List_Oset(X0,X1),X1) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5777]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25471,plain,
% 39.28/40.17      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 39.28/40.17      | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4))
% 39.28/40.17      | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X0,X2,X4) != c_Datatype_Ooption_ONone ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_25470]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5775,plain,
% 39.28/40.17      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 39.28/40.17      | 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))
% 39.28/40.17      | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11031_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25466,plain,
% 39.28/40.17      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 39.28/40.17      | 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))
% 39.28/40.17      | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5775]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25467,plain,
% 39.28/40.17      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 39.28/40.17      | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat)
% 39.28/40.17      | 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)) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_25466]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5772,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11032_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25460,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5772]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25461,plain,
% 39.28/40.17      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.17      | 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) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_25460]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5770,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11033_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25456,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5770]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25457,plain,
% 39.28/40.17      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.17      | 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) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_25456]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5767,plain,
% 39.28/40.17      ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 39.28/40.17      | ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 39.28/40.17      | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11037_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25450,plain,
% 39.28/40.17      ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 39.28/40.17      | ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 39.28/40.17      | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5767]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5765,plain,
% 39.28/40.17      ( c_List_Olist__update(c_List_Olist__update(X0,X1,X2,X3),X1,X4,X3) = c_List_Olist__update(X0,X1,X4,X3)
% 39.28/40.17      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11042_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25446,plain,
% 39.28/40.17      ( c_List_Olist__update(c_List_Olist__update(X0,X1,X2,X3),X1,X4,X3) = c_List_Olist__update(X0,X1,X4,X3)
% 39.28/40.17      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5765]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25447,plain,
% 39.28/40.17      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 39.28/40.17      | c_List_Olist__update(c_List_Olist__update(X1,X0,X3,X2),X0,X4,X2) = c_List_Olist__update(X1,X0,X4,X2) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_25446]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5763,plain,
% 39.28/40.17      ( c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X0,X1),c_Main_Olexord__Nil__left__2(X0,X1),X1) = X0
% 39.28/40.17      | ~ 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))) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11043_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25442,plain,
% 39.28/40.17      ( c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X0,X1),c_Main_Olexord__Nil__left__2(X0,X1),X1) = X0
% 39.28/40.17      | ~ 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))) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5763]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25443,plain,
% 39.28/40.17      ( ~ 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)))
% 39.28/40.17      | c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X0,X1),c_Main_Olexord__Nil__left__2(X0,X1),X1) = X0 ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_25442]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5760,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.17      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11044_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25436,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.17      | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5760]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25437,plain,
% 39.28/40.17      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.17      | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.17      | 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) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_25436]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5758,plain,
% 39.28/40.17      ( c_in(X0,c_Relation_ORange(X1,X2,X3),X3)
% 39.28/40.17      | ~ c_in(c_Pair(X4,X0,X2,X3),X1,tc_prod(X2,X3)) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11045_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25432,plain,
% 39.28/40.17      ( c_in(X0,c_Relation_ORange(X1,X2,X3),X3)
% 39.28/40.17      | ~ c_in(c_Pair(X4,X0,X2,X3),X1,tc_prod(X2,X3)) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5758]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25433,plain,
% 39.28/40.17      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 39.28/40.17      | c_in(X1,c_Relation_ORange(X4,X2,X3),X3) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_25432]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5756,plain,
% 39.28/40.17      ( c_in(X0,c_Relation_ODomain(X1,X2,X3),X2)
% 39.28/40.17      | ~ c_in(c_Pair(X0,X4,X2,X3),X1,tc_prod(X2,X3)) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11046_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25428,plain,
% 39.28/40.17      ( c_in(X0,c_Relation_ODomain(X1,X2,X3),X2)
% 39.28/40.17      | ~ c_in(c_Pair(X0,X4,X2,X3),X1,tc_prod(X2,X3)) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5756]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25429,plain,
% 39.28/40.17      ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 39.28/40.17      | c_in(X0,c_Relation_ODomain(X4,X2,X3),X2) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_25428]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5726,plain,
% 39.28/40.17      ( X0 = c_List_Olist_ONil
% 39.28/40.17      | ~ 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))) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11053_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25368,plain,
% 39.28/40.17      ( X0 = c_List_Olist_ONil
% 39.28/40.17      | ~ 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))) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5726]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25369,plain,
% 39.28/40.17      ( ~ 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)))
% 39.28/40.17      | X0 = c_List_Olist_ONil ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_25368]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5724,plain,
% 39.28/40.17      ( X0 = c_List_Olist_ONil
% 39.28/40.17      | ~ 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))) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11054_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25364,plain,
% 39.28/40.17      ( X0 = c_List_Olist_ONil
% 39.28/40.17      | ~ 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))) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5724]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25365,plain,
% 39.28/40.17      ( ~ 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)))
% 39.28/40.17      | X0 = c_List_Olist_ONil ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_25364]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5688,plain,
% 39.28/40.17      ( c_less(X0,X1,tc_nat)
% 39.28/40.17      | ~ c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11064_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25292,plain,
% 39.28/40.17      ( c_less(X0,X1,tc_nat)
% 39.28/40.17      | ~ c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5688]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5686,plain,
% 39.28/40.17      ( ~ c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1))
% 39.28/40.17      | ~ c_Wellfounded__Recursion_Owf(X2,X1) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11067_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25288,plain,
% 39.28/40.17      ( ~ c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1))
% 39.28/40.17      | ~ c_Wellfounded__Recursion_Owf(X2,X1) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5686]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25289,plain,
% 39.28/40.17      ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 39.28/40.17      | ~ c_in(c_Pair(X2,X2,X1,X1),X0,tc_prod(X1,X1)) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_25288]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5684,plain,
% 39.28/40.17      ( 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
% 39.28/40.17      | ~ 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) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11068_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25284,plain,
% 39.28/40.17      ( 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
% 39.28/40.17      | ~ 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) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5684]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25285,plain,
% 39.28/40.17      ( ~ 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)
% 39.28/40.17      | 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 ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_25284]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5682,plain,
% 39.28/40.17      ( X0 = X1 | ~ c_in(c_Pair(X0,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11069_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25280,plain,
% 39.28/40.17      ( X0 = X1 | ~ c_in(c_Pair(X0,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5682]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25281,plain,
% 39.28/40.17      ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)) | X0 = X1 ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_25280]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5680,plain,
% 39.28/40.17      ( 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)))
% 39.28/40.17      | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11071_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25276,plain,
% 39.28/40.17      ( 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)))
% 39.28/40.17      | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5680]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5678,plain,
% 39.28/40.17      ( 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)))
% 39.28/40.17      | ~ c_in(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11072_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25272,plain,
% 39.28/40.17      ( 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)))
% 39.28/40.17      | ~ c_in(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5678]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5673,plain,
% 39.28/40.17      ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 39.28/40.17      | ~ c_in(c_minus(X0,c_insert(X3,X1,X2),tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2)) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11075_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25262,plain,
% 39.28/40.17      ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 39.28/40.17      | ~ c_in(c_minus(X0,c_insert(X3,X1,X2),tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2)) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5673]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25263,plain,
% 39.28/40.17      ( ~ c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 39.28/40.17      | c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_25262]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5671,plain,
% 39.28/40.17      ( X0 = X1 | c_Pair(X2,X0,X3,X4) != c_Pair(X5,X1,X3,X4) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11078_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25258,plain,
% 39.28/40.17      ( X0 = X1 | c_Pair(X2,X0,X3,X4) != c_Pair(X5,X1,X3,X4) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5671]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25259,plain,
% 39.28/40.17      ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X1 = X5 ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_25258]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5669,plain,
% 39.28/40.17      ( X0 = X1 | c_Pair(X0,X2,X3,X4) != c_Pair(X1,X5,X3,X4) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11079_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25254,plain,
% 39.28/40.17      ( X0 = X1 | c_Pair(X0,X2,X3,X4) != c_Pair(X1,X5,X3,X4) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5669]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25255,plain,
% 39.28/40.17      ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X0 = X4 ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_25254]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5667,plain,
% 39.28/40.17      ( X0 = X1
% 39.28/40.17      | c_Datatype__Universe_OScons(X2,X0,X3,X4) != c_Datatype__Universe_OScons(X5,X1,X3,X4) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11080_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25250,plain,
% 39.28/40.17      ( X0 = X1
% 39.28/40.17      | c_Datatype__Universe_OScons(X2,X0,X3,X4) != c_Datatype__Universe_OScons(X5,X1,X3,X4) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5667]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25251,plain,
% 39.28/40.17      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3)
% 39.28/40.17      | X1 = X5 ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_25250]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5665,plain,
% 39.28/40.17      ( X0 = X1
% 39.28/40.17      | c_Datatype__Universe_OScons(X0,X2,X3,X4) != c_Datatype__Universe_OScons(X1,X5,X3,X4) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11081_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25246,plain,
% 39.28/40.17      ( X0 = X1
% 39.28/40.17      | c_Datatype__Universe_OScons(X0,X2,X3,X4) != c_Datatype__Universe_OScons(X1,X5,X3,X4) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5665]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25247,plain,
% 39.28/40.17      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3)
% 39.28/40.17      | X0 = X4 ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_25246]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5567,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | 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 ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11098_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25050,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | 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 ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5567]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5565,plain,
% 39.28/40.17      ( c_in(c_Sum__Type_OInr(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X2,X1),tc_sum(X2,X1))
% 39.28/40.17      | ~ c_in(X0,X4,X1) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11100_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25046,plain,
% 39.28/40.17      ( c_in(c_Sum__Type_OInr(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X2,X1),tc_sum(X2,X1))
% 39.28/40.17      | ~ c_in(X0,X4,X1) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5565]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5563,plain,
% 39.28/40.17      ( c_in(c_Sum__Type_OInl(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X1,X2),tc_sum(X1,X2))
% 39.28/40.17      | ~ c_in(X0,X3,X1) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11101_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_25042,plain,
% 39.28/40.17      ( c_in(c_Sum__Type_OInl(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X1,X2),tc_sum(X1,X2))
% 39.28/40.17      | ~ c_in(X0,X3,X1) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5563]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5457,plain,
% 39.28/40.17      ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X1,X3) = X2
% 39.28/40.17      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11122_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24830,plain,
% 39.28/40.17      ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X1,X3) = X2
% 39.28/40.17      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5457]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24831,plain,
% 39.28/40.17      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 39.28/40.17      | c_List_Onth(c_List_Olist__update(X1,X0,X3,X2),X0,X2) = X3 ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24830]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5455,plain,
% 39.28/40.17      ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_Odiag(X2,X1),tc_prod(X1,X1))
% 39.28/40.17      | ~ c_in(X0,X2,X1) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11123_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24826,plain,
% 39.28/40.17      ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_Odiag(X2,X1),tc_prod(X1,X1))
% 39.28/40.17      | ~ c_in(X0,X2,X1) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5455]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5453,plain,
% 39.28/40.17      ( c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 39.28/40.17      | ~ c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11124_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24822,plain,
% 39.28/40.17      ( c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 39.28/40.17      | ~ c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5453]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5451,plain,
% 39.28/40.17      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.28/40.17      | 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) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11125_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24818,plain,
% 39.28/40.17      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.28/40.17      | 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) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5451]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5449,plain,
% 39.28/40.17      ( c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
% 39.28/40.17      | ~ c_less(X0,X1,tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11126_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24814,plain,
% 39.28/40.17      ( c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
% 39.28/40.17      | ~ c_less(X0,X1,tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5449]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24815,plain,
% 39.28/40.17      ( ~ c_less(X0,X1,tc_nat)
% 39.28/40.17      | c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24814]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5447,plain,
% 39.28/40.17      ( 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
% 39.28/40.17      | 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 ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11127_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24810,plain,
% 39.28/40.17      ( 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
% 39.28/40.17      | 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 ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5447]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5445,plain,
% 39.28/40.17      ( c_Pair(c_Main_OdiagE__1(X0,X1,X2),c_Main_OdiagE__1(X0,X1,X2),X2,X2) = X1
% 39.28/40.17      | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11128_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24806,plain,
% 39.28/40.17      ( c_Pair(c_Main_OdiagE__1(X0,X1,X2),c_Main_OdiagE__1(X0,X1,X2),X2,X2) = X1
% 39.28/40.17      | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5445]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24807,plain,
% 39.28/40.17      ( ~ c_in(X0,c_Relation_Odiag(X1,X2),tc_prod(X2,X2))
% 39.28/40.17      | c_Pair(c_Main_OdiagE__1(X1,X0,X2),c_Main_OdiagE__1(X1,X0,X2),X2,X2) = X0 ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24806]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5443,plain,
% 39.28/40.17      ( c_List_Onth(c_List_Odrop(X0,X1,X2),X3,X2) = c_List_Onth(X1,c_plus(X0,X3,tc_nat),X2)
% 39.28/40.17      | ~ c_lessequals(c_plus(X0,X3,tc_nat),c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11129_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24802,plain,
% 39.28/40.17      ( c_List_Onth(c_List_Odrop(X0,X1,X2),X3,X2) = c_List_Onth(X1,c_plus(X0,X3,tc_nat),X2)
% 39.28/40.17      | ~ c_lessequals(c_plus(X0,X3,tc_nat),c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5443]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24803,plain,
% 39.28/40.17      ( ~ c_lessequals(c_plus(X0,X1,tc_nat),c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat)
% 39.28/40.17      | c_List_Onth(c_List_Odrop(X0,X2,X3),X1,X3) = c_List_Onth(X2,c_plus(X0,X1,tc_nat),X3) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24802]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5441,plain,
% 39.28/40.17      ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X4,X3) = c_List_Onth(X0,X4,X3)
% 39.28/40.17      | X1 = X4 ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11131_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24798,plain,
% 39.28/40.17      ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X4,X3) = c_List_Onth(X0,X4,X3)
% 39.28/40.17      | X1 = X4 ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5441]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5439,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ c_less(c_0,X1,tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11132_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24794,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ c_less(c_0,X1,tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5439]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24795,plain,
% 39.28/40.17      ( ~ c_less(c_0,X0,tc_nat)
% 39.28/40.17      | 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) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24794]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5437,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ c_less(c_0,X2,tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11133_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24790,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ c_less(c_0,X2,tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5437]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24791,plain,
% 39.28/40.17      ( ~ c_less(c_0,X0,tc_nat)
% 39.28/40.17      | 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) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24790]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5434,plain,
% 39.28/40.17      ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 39.28/40.17      | ~ c_Wellfounded__Recursion_Owf(X0,X2)
% 39.28/40.17      | ~ c_Wellfounded__Recursion_Owf(X1,X3) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11137_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24784,plain,
% 39.28/40.17      ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 39.28/40.17      | ~ c_Wellfounded__Recursion_Owf(X0,X2)
% 39.28/40.17      | ~ c_Wellfounded__Recursion_Owf(X1,X3) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5434]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5431,plain,
% 39.28/40.17      ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 39.28/40.17      | ~ c_Relation_Otrans(X0,X2)
% 39.28/40.17      | ~ c_Relation_Otrans(X1,X3) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11138_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24778,plain,
% 39.28/40.17      ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 39.28/40.17      | ~ c_Relation_Otrans(X0,X2)
% 39.28/40.17      | ~ c_Relation_Otrans(X1,X3) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5431]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5311,plain,
% 39.28/40.17      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.17      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 39.28/40.17      | c_lessequals(X2,X4,X0)
% 39.28/40.17      | c_lessequals(X2,X1,X0) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11164_0) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24538,plain,
% 39.28/40.17      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.17      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 39.28/40.17      | c_lessequals(X2,X4,X0)
% 39.28/40.17      | c_lessequals(X2,X1,X0) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5311]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5308,plain,
% 39.28/40.17      ( c_lessequals(X0,X1,X2)
% 39.28/40.17      | c_lessequals(X0,X3,X2)
% 39.28/40.17      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X4,X3,X2),tc_set(X2))
% 39.28/40.17      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11164_3) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24532,plain,
% 39.28/40.17      ( c_lessequals(X0,X1,X2)
% 39.28/40.17      | c_lessequals(X0,X3,X2)
% 39.28/40.17      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X4,X3,X2),tc_set(X2))
% 39.28/40.17      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5308]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24533,plain,
% 39.28/40.17      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.17      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 39.28/40.17      | c_lessequals(X2,X1,X0)
% 39.28/40.17      | c_lessequals(X2,X4,X0) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24532]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5307,plain,
% 39.28/40.17      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.17      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 39.28/40.17      | c_lessequals(X3,X1,X0)
% 39.28/40.17      | c_lessequals(X2,X1,X0) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11165_0) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24530,plain,
% 39.28/40.17      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.17      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 39.28/40.17      | c_lessequals(X3,X1,X0)
% 39.28/40.17      | c_lessequals(X2,X1,X0) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5307]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5304,plain,
% 39.28/40.17      ( c_lessequals(X0,X1,X2)
% 39.28/40.17      | c_lessequals(X3,X1,X2)
% 39.28/40.17      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 39.28/40.17      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11165_3) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24524,plain,
% 39.28/40.17      ( c_lessequals(X0,X1,X2)
% 39.28/40.17      | c_lessequals(X3,X1,X2)
% 39.28/40.17      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 39.28/40.17      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5304]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24525,plain,
% 39.28/40.17      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.17      | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 39.28/40.17      | c_lessequals(X2,X1,X0)
% 39.28/40.17      | c_lessequals(X3,X1,X0) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24524]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5276,plain,
% 39.28/40.17      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 39.28/40.17      | ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X3,X2),X2),X2) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11176_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24468,plain,
% 39.28/40.17      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 39.28/40.17      | ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X3,X2),X2),X2) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5276]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24469,plain,
% 39.28/40.17      ( ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X2,X3),X3),X3)
% 39.28/40.17      | c_in(X0,c_List_Oset(X1,X3),X3) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24468]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5274,plain,
% 39.28/40.17      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 39.28/40.17      | ~ c_in(X0,c_List_Oset(c_List_Oremove1(X3,X1,X2),X2),X2) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11177_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24464,plain,
% 39.28/40.17      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 39.28/40.17      | ~ c_in(X0,c_List_Oset(c_List_Oremove1(X3,X1,X2),X2),X2) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5274]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24465,plain,
% 39.28/40.17      ( ~ c_in(X0,c_List_Oset(c_List_Oremove1(X1,X2,X3),X3),X3)
% 39.28/40.17      | c_in(X0,c_List_Oset(X2,X3),X3) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24464]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5244,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ c_lessequals(X1,X0,tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11185_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24404,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ c_lessequals(X1,X0,tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5244]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24405,plain,
% 39.28/40.17      ( ~ c_lessequals(X0,X1,tc_nat)
% 39.28/40.17      | 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) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24404]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5242,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ c_lessequals(X1,X2,tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11186_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24400,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ c_lessequals(X1,X2,tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5242]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24401,plain,
% 39.28/40.17      ( ~ c_lessequals(X0,X1,tc_nat)
% 39.28/40.17      | 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) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24400]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5240,plain,
% 39.28/40.17      ( X0 = X1
% 39.28/40.17      | 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) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11187_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24396,plain,
% 39.28/40.17      ( X0 = X1
% 39.28/40.17      | 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) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5240]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24397,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | X1 = X4 ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24396]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5238,plain,
% 39.28/40.17      ( X0 = X1
% 39.28/40.17      | 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) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11188_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24392,plain,
% 39.28/40.17      ( X0 = X1
% 39.28/40.17      | 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) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5238]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24393,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | X0 = X3 ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24392]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5236,plain,
% 39.28/40.17      ( c_List_Olist__update(X0,X1,c_List_Onth(X0,X1,X2),X2) = X0
% 39.28/40.17      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11189_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24388,plain,
% 39.28/40.17      ( c_List_Olist__update(X0,X1,c_List_Onth(X0,X1,X2),X2) = X0
% 39.28/40.17      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5236]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24389,plain,
% 39.28/40.17      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 39.28/40.17      | c_List_Olist__update(X1,X0,c_List_Onth(X1,X0,X2),X2) = X1 ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24388]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5233,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | X1 = c_Numeral_Obit_OB0
% 39.28/40.17      | c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11192_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24382,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | X1 = c_Numeral_Obit_OB0
% 39.28/40.17      | c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5233]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24383,plain,
% 39.28/40.17      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.17      | 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)
% 39.28/40.17      | X2 = c_Numeral_Obit_OB0 ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24382]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5182,plain,
% 39.28/40.17      ( c_less(X0,X1,X2)
% 39.28/40.17      | ~ c_less(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 39.28/40.17      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11204_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24280,plain,
% 39.28/40.17      ( c_less(X0,X1,X2)
% 39.28/40.17      | ~ c_less(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 39.28/40.17      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5182]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24281,plain,
% 39.28/40.17      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.28/40.17      | ~ c_less(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 39.28/40.17      | c_less(X1,X3,X0) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24280]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5179,plain,
% 39.28/40.17      ( c_less(X0,X1,X2)
% 39.28/40.17      | ~ c_less(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 39.28/40.17      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11205_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24274,plain,
% 39.28/40.17      ( c_less(X0,X1,X2)
% 39.28/40.17      | ~ c_less(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 39.28/40.17      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5179]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24275,plain,
% 39.28/40.17      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.28/40.17      | ~ c_less(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 39.28/40.17      | c_less(X2,X3,X0) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24274]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5176,plain,
% 39.28/40.17      ( c_lessequals(X0,X1,X2)
% 39.28/40.17      | ~ c_lessequals(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 39.28/40.17      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11206_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24268,plain,
% 39.28/40.17      ( c_lessequals(X0,X1,X2)
% 39.28/40.17      | ~ c_lessequals(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 39.28/40.17      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5176]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24269,plain,
% 39.28/40.17      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.28/40.17      | ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 39.28/40.17      | c_lessequals(X1,X3,X0) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24268]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5173,plain,
% 39.28/40.17      ( c_lessequals(X0,X1,X2)
% 39.28/40.17      | ~ c_lessequals(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 39.28/40.17      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11207_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24262,plain,
% 39.28/40.17      ( c_lessequals(X0,X1,X2)
% 39.28/40.17      | ~ c_lessequals(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 39.28/40.17      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5173]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24263,plain,
% 39.28/40.17      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.28/40.17      | ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 39.28/40.17      | c_lessequals(X2,X3,X0) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24262]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5142,plain,
% 39.28/40.17      ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 39.28/40.17      | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 39.28/40.17      | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11218_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24200,plain,
% 39.28/40.17      ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 39.28/40.17      | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 39.28/40.17      | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5142]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5140,plain,
% 39.28/40.17      ( c_less(X0,X1,tc_nat)
% 39.28/40.17      | ~ c_less(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11219_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24196,plain,
% 39.28/40.17      ( c_less(X0,X1,tc_nat)
% 39.28/40.17      | ~ c_less(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5140]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24197,plain,
% 39.28/40.17      ( ~ c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 39.28/40.17      | c_less(X1,X2,tc_nat) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24196]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5138,plain,
% 39.28/40.17      ( c_lessequals(X0,X1,tc_nat)
% 39.28/40.17      | ~ c_lessequals(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11220_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24192,plain,
% 39.28/40.17      ( c_lessequals(X0,X1,tc_nat)
% 39.28/40.17      | ~ c_lessequals(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5138]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24193,plain,
% 39.28/40.17      ( ~ c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 39.28/40.17      | c_lessequals(X1,X2,tc_nat) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24192]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5136,plain,
% 39.28/40.17      ( c_less(X0,X1,tc_nat)
% 39.28/40.17      | ~ c_less(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11221_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24188,plain,
% 39.28/40.17      ( c_less(X0,X1,tc_nat)
% 39.28/40.17      | ~ c_less(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5136]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24189,plain,
% 39.28/40.17      ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 39.28/40.17      | c_less(X0,X2,tc_nat) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24188]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5134,plain,
% 39.28/40.17      ( c_less(X0,X1,tc_nat)
% 39.28/40.17      | ~ c_less(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11222_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24184,plain,
% 39.28/40.17      ( c_less(X0,X1,tc_nat)
% 39.28/40.17      | ~ c_less(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5134]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24185,plain,
% 39.28/40.17      ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 39.28/40.17      | c_less(X1,X2,tc_nat) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24184]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5132,plain,
% 39.28/40.17      ( c_less(c_0,X0,tc_nat)
% 39.28/40.17      | ~ c_less(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11225_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24180,plain,
% 39.28/40.17      ( c_less(c_0,X0,tc_nat)
% 39.28/40.17      | ~ c_less(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5132]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5130,plain,
% 39.28/40.17      ( c_less(c_0,X0,tc_nat)
% 39.28/40.17      | ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11226_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24176,plain,
% 39.28/40.17      ( c_less(c_0,X0,tc_nat)
% 39.28/40.17      | ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5130]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5102,plain,
% 39.28/40.17      ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 39.28/40.17      | ~ c_lessequals(X3,X0,X2)
% 39.28/40.17      | ~ c_lessequals(X1,X4,X2)
% 39.28/40.17      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11232_3) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24120,plain,
% 39.28/40.17      ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 39.28/40.17      | ~ c_lessequals(X3,X0,X2)
% 39.28/40.17      | ~ c_lessequals(X1,X4,X2)
% 39.28/40.17      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5102]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24121,plain,
% 39.28/40.17      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.17      | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 39.28/40.17      | ~ c_lessequals(X3,X1,X0)
% 39.28/40.17      | ~ c_lessequals(X2,X4,X0) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24120]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5099,plain,
% 39.28/40.17      ( c_Numeral_Onumber__of(X0,X1) = c_1
% 39.28/40.17      | ~ 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)
% 39.28/40.17      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11233_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24114,plain,
% 39.28/40.17      ( c_Numeral_Onumber__of(X0,X1) = c_1
% 39.28/40.17      | ~ 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)
% 39.28/40.17      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5099]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24115,plain,
% 39.28/40.17      ( ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.17      | ~ 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)
% 39.28/40.17      | c_Numeral_Onumber__of(X1,X0) = c_1 ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24114]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5097,plain,
% 39.28/40.17      ( c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2)))
% 39.28/40.17      | ~ c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1))) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11234_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24110,plain,
% 39.28/40.17      ( c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2)))
% 39.28/40.17      | ~ c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1))) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5097]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24111,plain,
% 39.28/40.17      ( ~ c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 39.28/40.17      | c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24110]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5085,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ c_in(X0,c_List_Oset(X3,X2),X2) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11237_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24086,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ c_in(X0,c_List_Oset(X3,X2),X2) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5085]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24087,plain,
% 39.28/40.17      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 39.28/40.17      | 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) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24086]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_5079,plain,
% 39.28/40.17      ( c_List_Otake(X0,c_List_Oupt(X1,X2),tc_nat) = c_List_Oupt(X1,c_plus(X1,X0,tc_nat))
% 39.28/40.17      | ~ c_lessequals(c_plus(X1,X0,tc_nat),X2,tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11239_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24074,plain,
% 39.28/40.17      ( c_List_Otake(X0,c_List_Oupt(X1,X2),tc_nat) = c_List_Oupt(X1,c_plus(X1,X0,tc_nat))
% 39.28/40.17      | ~ c_lessequals(c_plus(X1,X0,tc_nat),X2,tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_5079]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_24075,plain,
% 39.28/40.17      ( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
% 39.28/40.17      | c_List_Otake(X1,c_List_Oupt(X0,X2),tc_nat) = c_List_Oupt(X0,c_plus(X0,X1,tc_nat)) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_24074]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4987,plain,
% 39.28/40.17      ( c_Pair(c_Main_OIdE__1(X0,X1),c_Main_OIdE__1(X0,X1),X1,X1) = X0
% 39.28/40.17      | ~ c_in(X0,c_Relation_OId,tc_prod(X1,X1)) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11262_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23890,plain,
% 39.28/40.17      ( c_Pair(c_Main_OIdE__1(X0,X1),c_Main_OIdE__1(X0,X1),X1,X1) = X0
% 39.28/40.17      | ~ c_in(X0,c_Relation_OId,tc_prod(X1,X1)) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4987]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23891,plain,
% 39.28/40.17      ( ~ c_in(X0,c_Relation_OId,tc_prod(X1,X1))
% 39.28/40.17      | c_Pair(c_Main_OIdE__1(X0,X1),c_Main_OIdE__1(X0,X1),X1,X1) = X0 ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23890]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4984,plain,
% 39.28/40.17      ( c_minus(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X0,X3,X2),tc_set(X2)) = c_SetInterval_OatLeastLessThan(X3,X1,X2)
% 39.28/40.17      | ~ c_lessequals(X0,X3,X2)
% 39.28/40.17      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11263_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23884,plain,
% 39.28/40.17      ( c_minus(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X0,X3,X2),tc_set(X2)) = c_SetInterval_OatLeastLessThan(X3,X1,X2)
% 39.28/40.17      | ~ c_lessequals(X0,X3,X2)
% 39.28/40.17      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4984]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23885,plain,
% 39.28/40.17      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.17      | ~ c_lessequals(X1,X2,X0)
% 39.28/40.17      | c_minus(c_SetInterval_OatLeastLessThan(X1,X3,X0),c_SetInterval_OatLeastLessThan(X1,X2,X0),tc_set(X0)) = c_SetInterval_OatLeastLessThan(X2,X3,X0) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23884]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4981,plain,
% 39.28/40.17      ( c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 39.28/40.17      | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 39.28/40.17      | ~ c_in(X0,X3,X2) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11267_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23878,plain,
% 39.28/40.17      ( c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 39.28/40.17      | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 39.28/40.17      | ~ c_in(X0,X3,X2) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4981]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4975,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11273_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23866,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4975]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23867,plain,
% 39.28/40.17      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.17      | 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) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23866]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4933,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11282_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23782,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4933]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23783,plain,
% 39.28/40.17      ( ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.17      | 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) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23782]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4931,plain,
% 39.28/40.17      ( 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
% 39.28/40.17      | 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 ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11283_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23778,plain,
% 39.28/40.17      ( 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
% 39.28/40.17      | 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 ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4931]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4920,plain,
% 39.28/40.17      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.28/40.17      | 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) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11286_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23756,plain,
% 39.28/40.17      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.28/40.17      | 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) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4920]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4918,plain,
% 39.28/40.17      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.28/40.17      | 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) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11287_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23752,plain,
% 39.28/40.17      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.28/40.17      | 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) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4918]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4891,plain,
% 39.28/40.17      ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_minus(X0,c_minus(X2,X1,tc_nat),tc_nat)
% 39.28/40.17      | ~ c_lessequals(X1,X2,tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11293_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23698,plain,
% 39.28/40.17      ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_minus(X0,c_minus(X2,X1,tc_nat),tc_nat)
% 39.28/40.17      | ~ c_lessequals(X1,X2,tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4891]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23699,plain,
% 39.28/40.17      ( ~ c_lessequals(X0,X1,tc_nat)
% 39.28/40.17      | c_minus(c_plus(X2,X0,tc_nat),X1,tc_nat) = c_minus(X2,c_minus(X1,X0,tc_nat),tc_nat) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23698]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4889,plain,
% 39.28/40.17      ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(X0,c_minus(X1,X2,tc_nat),tc_nat)
% 39.28/40.17      | ~ c_lessequals(X2,X1,tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11294_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23694,plain,
% 39.28/40.17      ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(X0,c_minus(X1,X2,tc_nat),tc_nat)
% 39.28/40.17      | ~ c_lessequals(X2,X1,tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4889]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23695,plain,
% 39.28/40.17      ( ~ c_lessequals(X0,X1,tc_nat)
% 39.28/40.17      | c_minus(c_plus(X2,X1,tc_nat),X0,tc_nat) = c_plus(X2,c_minus(X1,X0,tc_nat),tc_nat) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23694]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4887,plain,
% 39.28/40.17      ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(c_minus(X0,X2,tc_nat),X1,tc_nat)
% 39.28/40.17      | ~ c_lessequals(X2,X0,tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11295_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23690,plain,
% 39.28/40.17      ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(c_minus(X0,X2,tc_nat),X1,tc_nat)
% 39.28/40.17      | ~ c_lessequals(X2,X0,tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4887]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23691,plain,
% 39.28/40.17      ( ~ c_lessequals(X0,X1,tc_nat)
% 39.28/40.17      | c_minus(c_plus(X1,X2,tc_nat),X0,tc_nat) = c_plus(c_minus(X1,X0,tc_nat),X2,tc_nat) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23690]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4880,plain,
% 39.28/40.17      ( c_div(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat) = c_div(X0,X2,tc_nat)
% 39.28/40.17      | ~ c_less(c_0,X1,tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11298_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23676,plain,
% 39.28/40.17      ( c_div(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat) = c_div(X0,X2,tc_nat)
% 39.28/40.17      | ~ c_less(c_0,X1,tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4880]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23677,plain,
% 39.28/40.17      ( ~ c_less(c_0,X0,tc_nat)
% 39.28/40.17      | c_div(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) = c_div(X1,X2,tc_nat) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23676]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4878,plain,
% 39.28/40.17      ( c_div(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) = c_div(X1,X2,tc_nat)
% 39.28/40.17      | ~ c_less(c_0,X0,tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11299_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23672,plain,
% 39.28/40.17      ( c_div(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) = c_div(X1,X2,tc_nat)
% 39.28/40.17      | ~ c_less(c_0,X0,tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4878]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23673,plain,
% 39.28/40.17      ( ~ c_less(c_0,X0,tc_nat)
% 39.28/40.17      | c_div(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) = c_div(X1,X2,tc_nat) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23672]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4872,plain,
% 39.28/40.17      ( c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 39.28/40.17      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11301_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23660,plain,
% 39.28/40.17      ( c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 39.28/40.17      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4872]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4865,plain,
% 39.28/40.17      ( c_List_Olist__update(X0,X1,X2,X3) = X0
% 39.28/40.17      | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X3)),X1,tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11303_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23646,plain,
% 39.28/40.17      ( c_List_Olist__update(X0,X1,X2,X3) = X0
% 39.28/40.17      | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X3)),X1,tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4865]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23647,plain,
% 39.28/40.17      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 39.28/40.17      | c_List_Olist__update(X0,X2,X3,X1) = X0 ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23646]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4859,plain,
% 39.28/40.17      ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 39.28/40.17      | ~ c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11305_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23634,plain,
% 39.28/40.17      ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 39.28/40.17      | ~ c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4859]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23635,plain,
% 39.28/40.17      ( ~ c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 39.28/40.17      | c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23634]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4857,plain,
% 39.28/40.17      ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 39.28/40.17      | ~ c_in(c_append(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11306_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23630,plain,
% 39.28/40.17      ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 39.28/40.17      | ~ c_in(c_append(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4857]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23631,plain,
% 39.28/40.17      ( ~ c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 39.28/40.17      | c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23630]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4855,plain,
% 39.28/40.17      ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 39.28/40.17      | ~ c_in(c_List_Olist_OCons(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11307_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23626,plain,
% 39.28/40.17      ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 39.28/40.17      | ~ c_in(c_List_Olist_OCons(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4855]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23627,plain,
% 39.28/40.17      ( ~ c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 39.28/40.17      | c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23626]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4853,plain,
% 39.28/40.17      ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.17      | 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 ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11308_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23622,plain,
% 39.28/40.17      ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.17      | 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 ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4853]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4850,plain,
% 39.28/40.17      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.28/40.17      | c_less(c_0,X1,tc_nat)
% 39.28/40.17      | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat),tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11309_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23616,plain,
% 39.28/40.17      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.28/40.17      | c_less(c_0,X1,tc_nat)
% 39.28/40.17      | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat),tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4850]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23617,plain,
% 39.28/40.17      ( ~ c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 39.28/40.17      | c_less(c_0,X0,tc_nat)
% 39.28/40.17      | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23616]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4848,plain,
% 39.28/40.17      ( c_List_Onth(c_List_Oupt(X0,X1),X2,tc_nat) = c_plus(X0,X2,tc_nat)
% 39.28/40.17      | ~ c_less(c_plus(X0,X2,tc_nat),X1,tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11310_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23612,plain,
% 39.28/40.17      ( c_List_Onth(c_List_Oupt(X0,X1),X2,tc_nat) = c_plus(X0,X2,tc_nat)
% 39.28/40.17      | ~ c_less(c_plus(X0,X2,tc_nat),X1,tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4848]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23613,plain,
% 39.28/40.17      ( ~ c_less(c_plus(X0,X1,tc_nat),X2,tc_nat)
% 39.28/40.17      | c_List_Onth(c_List_Oupt(X0,X2),X1,tc_nat) = c_plus(X0,X1,tc_nat) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23612]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4846,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11311_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23608,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4846]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23609,plain,
% 39.28/40.17      ( ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.17      | 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) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23608]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4844,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11312_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23604,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4844]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23605,plain,
% 39.28/40.17      ( ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.17      | 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) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23604]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4818,plain,
% 39.28/40.17      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.17      | 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)
% 39.28/40.17      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11317_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23552,plain,
% 39.28/40.17      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.17      | 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)
% 39.28/40.17      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4818]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23553,plain,
% 39.28/40.17      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.17      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.17      | 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) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23552]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4810,plain,
% 39.28/40.17      ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 39.28/40.17      | ~ c_lessequals(X1,X0,X2)
% 39.28/40.17      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11319_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23536,plain,
% 39.28/40.17      ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 39.28/40.17      | ~ c_lessequals(X1,X0,X2)
% 39.28/40.17      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4810]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23537,plain,
% 39.28/40.17      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.17      | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 39.28/40.17      | ~ c_lessequals(X2,X1,X0) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23536]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4805,plain,
% 39.28/40.17      ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 39.28/40.17      | ~ c_less(X0,c_0,X1)
% 39.28/40.17      | ~ c_less(X2,c_0,X1)
% 39.28/40.17      | ~ c_less(X2,X0,X1)
% 39.28/40.17      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11320_4) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23526,plain,
% 39.28/40.17      ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 39.28/40.17      | ~ c_less(X0,c_0,X1)
% 39.28/40.17      | ~ c_less(X2,c_0,X1)
% 39.28/40.17      | ~ c_less(X2,X0,X1)
% 39.28/40.17      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4805]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4795,plain,
% 39.28/40.17      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 39.28/40.17      | ~ c_lessequals(X2,X0,X1)
% 39.28/40.17      | ~ c_less(X0,c_0,X1)
% 39.28/40.17      | ~ c_less(X2,c_0,X1)
% 39.28/40.17      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11322_4) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23506,plain,
% 39.28/40.17      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 39.28/40.17      | ~ c_lessequals(X2,X0,X1)
% 39.28/40.17      | ~ c_less(X0,c_0,X1)
% 39.28/40.17      | ~ c_less(X2,c_0,X1)
% 39.28/40.17      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4795]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4790,plain,
% 39.28/40.17      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 39.28/40.17      | ~ c_lessequals(X2,X0,X1)
% 39.28/40.17      | ~ c_less(c_0,X0,X1)
% 39.28/40.17      | ~ c_less(c_0,X2,X1)
% 39.28/40.17      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11323_4) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23496,plain,
% 39.28/40.17      ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 39.28/40.17      | ~ c_lessequals(X2,X0,X1)
% 39.28/40.17      | ~ c_less(c_0,X0,X1)
% 39.28/40.17      | ~ c_less(c_0,X2,X1)
% 39.28/40.17      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4790]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4788,plain,
% 39.28/40.17      ( c_insert(X0,X1,X2) = c_insert(X0,c_emptyset,X2)
% 39.28/40.17      | ~ c_lessequals(X1,c_insert(X0,c_emptyset,X2),tc_set(X2)) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11324_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23492,plain,
% 39.28/40.17      ( c_insert(X0,X1,X2) = c_insert(X0,c_emptyset,X2)
% 39.28/40.17      | ~ c_lessequals(X1,c_insert(X0,c_emptyset,X2),tc_set(X2)) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4788]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23493,plain,
% 39.28/40.17      ( ~ c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 39.28/40.17      | c_insert(X1,X0,X2) = c_insert(X1,c_emptyset,X2) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23492]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4786,plain,
% 39.28/40.17      ( c_insert(X0,c_emptyset,X1) = c_insert(X0,X2,X1)
% 39.28/40.17      | ~ c_lessequals(X2,c_insert(X0,c_emptyset,X1),tc_set(X1)) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11325_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23488,plain,
% 39.28/40.17      ( c_insert(X0,c_emptyset,X1) = c_insert(X0,X2,X1)
% 39.28/40.17      | ~ c_lessequals(X2,c_insert(X0,c_emptyset,X1),tc_set(X1)) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4786]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23489,plain,
% 39.28/40.17      ( ~ c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 39.28/40.17      | c_insert(X1,c_emptyset,X2) = c_insert(X1,X0,X2) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23488]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4781,plain,
% 39.28/40.17      ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X2,X3) | c_in(X0,X1,X3) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11327_0) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23478,plain,
% 39.28/40.17      ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X2,X3) | c_in(X0,X1,X3) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4781]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4779,plain,
% 39.28/40.17      ( c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_in(X0,c_union(X1,X3,X2),X2) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11327_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23474,plain,
% 39.28/40.17      ( c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_in(X0,c_union(X1,X3,X2),X2) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4779]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23475,plain,
% 39.28/40.17      ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X1,X3) | c_in(X0,X2,X3) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23474]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4776,plain,
% 39.28/40.17      ( c_less(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 39.28/40.17      | ~ c_less(X0,X3,X2)
% 39.28/40.17      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11328_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23468,plain,
% 39.28/40.17      ( c_less(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 39.28/40.17      | ~ c_less(X0,X3,X2)
% 39.28/40.17      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4776]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23469,plain,
% 39.28/40.17      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.28/40.17      | c_less(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 39.28/40.17      | ~ c_less(X1,X3,X0) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23468]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4773,plain,
% 39.28/40.17      ( c_less(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 39.28/40.17      | ~ c_less(X1,X3,X2)
% 39.28/40.17      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11329_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23462,plain,
% 39.28/40.17      ( c_less(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 39.28/40.17      | ~ c_less(X1,X3,X2)
% 39.28/40.17      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4773]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23463,plain,
% 39.28/40.17      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.28/40.17      | c_less(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 39.28/40.17      | ~ c_less(X2,X3,X0) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23462]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4770,plain,
% 39.28/40.17      ( c_lessequals(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 39.28/40.17      | ~ c_lessequals(X0,X3,X2)
% 39.28/40.17      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11330_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23456,plain,
% 39.28/40.17      ( c_lessequals(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 39.28/40.17      | ~ c_lessequals(X0,X3,X2)
% 39.28/40.17      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4770]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23457,plain,
% 39.28/40.17      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.28/40.17      | c_lessequals(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 39.28/40.17      | ~ c_lessequals(X1,X3,X0) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23456]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4767,plain,
% 39.28/40.17      ( c_lessequals(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 39.28/40.17      | ~ c_lessequals(X1,X3,X2)
% 39.28/40.17      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11331_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23450,plain,
% 39.28/40.17      ( c_lessequals(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 39.28/40.17      | ~ c_lessequals(X1,X3,X2)
% 39.28/40.17      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4767]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23451,plain,
% 39.28/40.17      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.28/40.17      | c_lessequals(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 39.28/40.17      | ~ c_lessequals(X2,X3,X0) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23450]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4764,plain,
% 39.28/40.17      ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 39.28/40.17      | ~ c_lessequals(X0,X3,tc_set(X2))
% 39.28/40.17      | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11332_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23444,plain,
% 39.28/40.17      ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 39.28/40.17      | ~ c_lessequals(X0,X3,tc_set(X2))
% 39.28/40.17      | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4764]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4761,plain,
% 39.28/40.17      ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 39.28/40.17      | ~ c_lessequals(X0,X1,tc_set(X3))
% 39.28/40.17      | ~ c_lessequals(X0,X2,tc_set(X3)) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11333_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23438,plain,
% 39.28/40.17      ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 39.28/40.17      | ~ c_lessequals(X0,X1,tc_set(X3))
% 39.28/40.17      | ~ c_lessequals(X0,X2,tc_set(X3)) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4761]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4759,plain,
% 39.28/40.17      ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | ~ c_in(X0,X2,X3) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11334_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23434,plain,
% 39.28/40.17      ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | ~ c_in(X0,X2,X3) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4759]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4757,plain,
% 39.28/40.17      ( c_in(X0,X1,X2)
% 39.28/40.17      | ~ c_in(c_List_Olist_OCons(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11335_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23430,plain,
% 39.28/40.17      ( c_in(X0,X1,X2)
% 39.28/40.17      | ~ c_in(c_List_Olist_OCons(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4757]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23431,plain,
% 39.28/40.17      ( ~ c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 39.28/40.17      | c_in(X0,X3,X2) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23430]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4750,plain,
% 39.28/40.17      ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 39.28/40.17      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 39.28/40.17      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11339_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23416,plain,
% 39.28/40.17      ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 39.28/40.17      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 39.28/40.17      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4750]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4741,plain,
% 39.28/40.17      ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.17      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.17      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11341_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23398,plain,
% 39.28/40.17      ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.28/40.17      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.17      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4741]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4738,plain,
% 39.28/40.17      ( c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
% 39.28/40.17      | ~ c_lessequals(X1,X3,tc_set(X2))
% 39.28/40.17      | ~ c_in(X0,X3,X2) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11342_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23392,plain,
% 39.28/40.17      ( c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
% 39.28/40.17      | ~ c_lessequals(X1,X3,tc_set(X2))
% 39.28/40.17      | ~ c_in(X0,X3,X2) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4738]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4735,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ class_Power_Orecpower(X1)
% 39.28/40.17      | ~ class_Numeral_Onumber(X1) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11343_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23386,plain,
% 39.28/40.17      ( 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)
% 39.28/40.17      | ~ class_Power_Orecpower(X1)
% 39.28/40.17      | ~ class_Numeral_Onumber(X1) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4735]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23387,plain,
% 39.28/40.17      ( ~ class_Numeral_Onumber(X0)
% 39.28/40.17      | ~ class_Power_Orecpower(X0)
% 39.28/40.17      | 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) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23386]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4734,plain,
% 39.28/40.17      ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 39.28/40.17      | c_less(c_0,X1,tc_nat)
% 39.28/40.17      | c_less(c_0,X0,tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11344_0) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23384,plain,
% 39.28/40.17      ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 39.28/40.17      | c_less(c_0,X1,tc_nat)
% 39.28/40.17      | c_less(c_0,X0,tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4734]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4732,plain,
% 39.28/40.17      ( c_less(c_0,X0,tc_nat)
% 39.28/40.17      | c_less(c_0,X1,tc_nat)
% 39.28/40.17      | ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11344_2) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23380,plain,
% 39.28/40.17      ( c_less(c_0,X0,tc_nat)
% 39.28/40.17      | c_less(c_0,X1,tc_nat)
% 39.28/40.17      | ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4732]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23381,plain,
% 39.28/40.17      ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 39.28/40.17      | c_less(c_0,X0,tc_nat)
% 39.28/40.17      | c_less(c_0,X1,tc_nat) ),
% 39.28/40.17      inference(rewriting,[status(thm)],[c_23380]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4690,plain,
% 39.28/40.17      ( c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 39.28/40.17      | ~ c_less(X1,X2,tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11353_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23296,plain,
% 39.28/40.17      ( c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 39.28/40.17      | ~ c_less(X1,X2,tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4690]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4688,plain,
% 39.28/40.17      ( c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 39.28/40.17      | ~ c_lessequals(X1,X2,tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11354_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23292,plain,
% 39.28/40.17      ( c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 39.28/40.17      | ~ c_lessequals(X1,X2,tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4688]) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_4686,plain,
% 39.28/40.17      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 39.28/40.17      | ~ c_lessequals(X0,X2,tc_nat) ),
% 39.28/40.17      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11355_1) ).
% 39.28/40.17  
% 39.28/40.17  cnf(c_23288,plain,
% 39.28/40.17      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 39.28/40.17      | ~ c_lessequals(X0,X2,tc_nat) ),
% 39.28/40.17      inference(copy,[status(esa)],[c_4686]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4684,plain,
% 39.28/40.18      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 39.28/40.18      | ~ c_lessequals(X1,X2,tc_nat) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11356_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23284,plain,
% 39.28/40.18      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 39.28/40.18      | ~ c_lessequals(X1,X2,tc_nat) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4684]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4662,plain,
% 39.28/40.18      ( ~ class_Orderings_Oord(X0)
% 39.28/40.18      | ~ c_less(X1,X2,X0)
% 39.28/40.18      | c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0)
% 39.28/40.18      | ~ c_less(X3,X1,X0) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11361_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23240,plain,
% 39.28/40.18      ( ~ class_Orderings_Oord(X0)
% 39.28/40.18      | ~ c_less(X1,X2,X0)
% 39.28/40.18      | c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0)
% 39.28/40.18      | ~ c_less(X3,X1,X0) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4662]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23241,plain,
% 39.28/40.18      ( ~ class_Orderings_Oord(X0)
% 39.28/40.18      | ~ c_less(X1,X2,X0)
% 39.28/40.18      | ~ c_less(X3,X1,X0)
% 39.28/40.18      | c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_23240]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4650,plain,
% 39.28/40.18      ( ~ class_Orderings_Oord(X0)
% 39.28/40.18      | ~ c_lessequals(X1,X2,X0)
% 39.28/40.18      | c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0)
% 39.28/40.18      | ~ c_lessequals(X3,X1,X0) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11364_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23216,plain,
% 39.28/40.18      ( ~ class_Orderings_Oord(X0)
% 39.28/40.18      | ~ c_lessequals(X1,X2,X0)
% 39.28/40.18      | c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0)
% 39.28/40.18      | ~ c_lessequals(X3,X1,X0) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4650]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23217,plain,
% 39.28/40.18      ( ~ class_Orderings_Oord(X0)
% 39.28/40.18      | ~ c_lessequals(X1,X2,X0)
% 39.28/40.18      | ~ c_lessequals(X3,X1,X0)
% 39.28/40.18      | c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_23216]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4644,plain,
% 39.28/40.18      ( c_lessequals(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 39.28/40.18      | ~ c_lessequals(X0,X3,X2)
% 39.28/40.18      | ~ c_lessequals(X1,X3,X2)
% 39.28/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11365_3) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23204,plain,
% 39.28/40.18      ( c_lessequals(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 39.28/40.18      | ~ c_lessequals(X0,X3,X2)
% 39.28/40.18      | ~ c_lessequals(X1,X3,X2)
% 39.28/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4644]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23205,plain,
% 39.28/40.18      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.18      | c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 39.28/40.18      | ~ c_lessequals(X1,X3,X0)
% 39.28/40.18      | ~ c_lessequals(X2,X3,X0) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_23204]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4640,plain,
% 39.28/40.18      ( c_lessequals(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 39.28/40.18      | ~ c_lessequals(X0,X1,X3)
% 39.28/40.18      | ~ c_lessequals(X0,X2,X3)
% 39.28/40.18      | ~ class_Orderings_Olinorder(X3) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11366_3) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23196,plain,
% 39.28/40.18      ( c_lessequals(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 39.28/40.18      | ~ c_lessequals(X0,X1,X3)
% 39.28/40.18      | ~ c_lessequals(X0,X2,X3)
% 39.28/40.18      | ~ class_Orderings_Olinorder(X3) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4640]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23197,plain,
% 39.28/40.18      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.18      | c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 39.28/40.18      | ~ c_lessequals(X1,X2,X0)
% 39.28/40.18      | ~ c_lessequals(X1,X3,X0) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_23196]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4636,plain,
% 39.28/40.18      ( c_less(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 39.28/40.18      | ~ c_less(X0,X1,X3)
% 39.28/40.18      | ~ c_less(X0,X2,X3)
% 39.28/40.18      | ~ class_Orderings_Olinorder(X3) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11367_3) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23188,plain,
% 39.28/40.18      ( c_less(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 39.28/40.18      | ~ c_less(X0,X1,X3)
% 39.28/40.18      | ~ c_less(X0,X2,X3)
% 39.28/40.18      | ~ class_Orderings_Olinorder(X3) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4636]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23189,plain,
% 39.28/40.18      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.18      | c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 39.28/40.18      | ~ c_less(X1,X2,X0)
% 39.28/40.18      | ~ c_less(X1,X3,X0) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_23188]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4632,plain,
% 39.28/40.18      ( c_less(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 39.28/40.18      | ~ c_less(X0,X3,X2)
% 39.28/40.18      | ~ c_less(X1,X3,X2)
% 39.28/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11368_3) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23180,plain,
% 39.28/40.18      ( c_less(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 39.28/40.18      | ~ c_less(X0,X3,X2)
% 39.28/40.18      | ~ c_less(X1,X3,X2)
% 39.28/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4632]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23181,plain,
% 39.28/40.18      ( ~ class_Orderings_Olinorder(X0)
% 39.28/40.18      | c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 39.28/40.18      | ~ c_less(X1,X3,X0)
% 39.28/40.18      | ~ c_less(X2,X3,X0) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_23180]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4630,plain,
% 39.28/40.18      ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 39.28/40.18      | ~ c_in(c_Main_Oin__listsI__1(X1,X0,X2),X1,X2) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11369_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23176,plain,
% 39.28/40.18      ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 39.28/40.18      | ~ c_in(c_Main_Oin__listsI__1(X1,X0,X2),X1,X2) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4630]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23177,plain,
% 39.28/40.18      ( ~ c_in(c_Main_Oin__listsI__1(X0,X1,X2),X0,X2)
% 39.28/40.18      | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_23176]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4626,plain,
% 39.28/40.18      ( c_inter(c_insert(X0,X1,X2),X3,X2) != c_emptyset | ~ c_in(X0,X3,X2) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11371_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23168,plain,
% 39.28/40.18      ( c_inter(c_insert(X0,X1,X2),X3,X2) != c_emptyset | ~ c_in(X0,X3,X2) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4626]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23169,plain,
% 39.28/40.18      ( ~ c_in(X0,X1,X2) | c_inter(c_insert(X0,X3,X2),X1,X2) != c_emptyset ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_23168]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4622,plain,
% 39.28/40.18      ( c_inter(X0,c_insert(X1,X2,X3),X3) != c_emptyset | ~ c_in(X1,X0,X3) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11373_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23160,plain,
% 39.28/40.18      ( c_inter(X0,c_insert(X1,X2,X3),X3) != c_emptyset | ~ c_in(X1,X0,X3) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4622]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23161,plain,
% 39.28/40.18      ( ~ c_in(X0,X1,X2) | c_inter(X1,c_insert(X0,X3,X2),X2) != c_emptyset ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_23160]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4599,plain,
% 39.28/40.18      ( c_divide(c_times(X0,X1,X2),c_times(X3,X1,X2),X2) = c_divide(X0,X3,X2)
% 39.28/40.18      | X1 = c_0
% 39.28/40.18      | ~ class_Ring__and__Field_Ofield(X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11378_3) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23114,plain,
% 39.28/40.18      ( c_divide(c_times(X0,X1,X2),c_times(X3,X1,X2),X2) = c_divide(X0,X3,X2)
% 39.28/40.18      | X1 = c_0
% 39.28/40.18      | ~ class_Ring__and__Field_Ofield(X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4599]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23115,plain,
% 39.28/40.18      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.28/40.18      | ~ class_Ring__and__Field_Ofield(X0)
% 39.28/40.18      | c_divide(c_times(X1,X2,X0),c_times(X3,X2,X0),X0) = c_divide(X1,X3,X0)
% 39.28/40.18      | X2 = c_0 ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_23114]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4595,plain,
% 39.28/40.18      ( c_divide(c_times(X0,X1,X2),c_times(X0,X3,X2),X2) = c_divide(X1,X3,X2)
% 39.28/40.18      | X0 = c_0
% 39.28/40.18      | ~ class_Ring__and__Field_Ofield(X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11379_3) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23106,plain,
% 39.28/40.18      ( c_divide(c_times(X0,X1,X2),c_times(X0,X3,X2),X2) = c_divide(X1,X3,X2)
% 39.28/40.18      | X0 = c_0
% 39.28/40.18      | ~ class_Ring__and__Field_Ofield(X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4595]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23107,plain,
% 39.28/40.18      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.28/40.18      | ~ class_Ring__and__Field_Ofield(X0)
% 39.28/40.18      | c_divide(c_times(X1,X2,X0),c_times(X1,X3,X0),X0) = c_divide(X2,X3,X0)
% 39.28/40.18      | X1 = c_0 ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_23106]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4593,plain,
% 39.28/40.18      ( 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)
% 39.28/40.18      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11380_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23102,plain,
% 39.28/40.18      ( 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)
% 39.28/40.18      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4593]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23103,plain,
% 39.28/40.18      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 39.28/40.18      | 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) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_23102]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4590,plain,
% 39.28/40.18      ( c_divide(c_times(X0,X1,X2),X3,X2) = c_divide(X0,c_divide(X3,X1,X2),X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Ofield(X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11381_2) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23096,plain,
% 39.28/40.18      ( c_divide(c_times(X0,X1,X2),X3,X2) = c_divide(X0,c_divide(X3,X1,X2),X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Ofield(X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4590]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23097,plain,
% 39.28/40.18      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.28/40.18      | ~ class_Ring__and__Field_Ofield(X0)
% 39.28/40.18      | c_divide(c_times(X1,X2,X0),X3,X0) = c_divide(X1,c_divide(X3,X2,X0),X0) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_23096]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4587,plain,
% 39.28/40.18      ( c_divide(c_divide(X0,X1,X2),X3,X2) = c_divide(X0,c_times(X1,X3,X2),X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Ofield(X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11382_2) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23090,plain,
% 39.28/40.18      ( c_divide(c_divide(X0,X1,X2),X3,X2) = c_divide(X0,c_times(X1,X3,X2),X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Ofield(X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4587]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23091,plain,
% 39.28/40.18      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.28/40.18      | ~ class_Ring__and__Field_Ofield(X0)
% 39.28/40.18      | c_divide(c_divide(X1,X2,X0),X3,X0) = c_divide(X1,c_times(X2,X3,X0),X0) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_23090]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4583,plain,
% 39.28/40.18      ( c_in(c_times(X0,X1,X2),c_IntDef_ONats,X2)
% 39.28/40.18      | ~ c_in(X0,c_IntDef_ONats,X2)
% 39.28/40.18      | ~ c_in(X1,c_IntDef_ONats,X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11383_3) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23082,plain,
% 39.28/40.18      ( c_in(c_times(X0,X1,X2),c_IntDef_ONats,X2)
% 39.28/40.18      | ~ c_in(X0,c_IntDef_ONats,X2)
% 39.28/40.18      | ~ c_in(X1,c_IntDef_ONats,X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4583]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23083,plain,
% 39.28/40.18      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.28/40.18      | c_in(c_times(X1,X2,X0),c_IntDef_ONats,X0)
% 39.28/40.18      | ~ c_in(X1,c_IntDef_ONats,X0)
% 39.28/40.18      | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_23082]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4579,plain,
% 39.28/40.18      ( c_in(c_plus(X0,X1,X2),c_IntDef_ONats,X2)
% 39.28/40.18      | ~ c_in(X0,c_IntDef_ONats,X2)
% 39.28/40.18      | ~ c_in(X1,c_IntDef_ONats,X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11384_3) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23074,plain,
% 39.28/40.18      ( c_in(c_plus(X0,X1,X2),c_IntDef_ONats,X2)
% 39.28/40.18      | ~ c_in(X0,c_IntDef_ONats,X2)
% 39.28/40.18      | ~ c_in(X1,c_IntDef_ONats,X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4579]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23075,plain,
% 39.28/40.18      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.28/40.18      | c_in(c_plus(X1,X2,X0),c_IntDef_ONats,X0)
% 39.28/40.18      | ~ c_in(X1,c_IntDef_ONats,X0)
% 39.28/40.18      | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_23074]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4575,plain,
% 39.28/40.18      ( c_in(c_times(X0,X1,X2),c_IntDef_OInts,X2)
% 39.28/40.18      | ~ c_in(X0,c_IntDef_OInts,X2)
% 39.28/40.18      | ~ c_in(X1,c_IntDef_OInts,X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11385_3) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23066,plain,
% 39.28/40.18      ( c_in(c_times(X0,X1,X2),c_IntDef_OInts,X2)
% 39.28/40.18      | ~ c_in(X0,c_IntDef_OInts,X2)
% 39.28/40.18      | ~ c_in(X1,c_IntDef_OInts,X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4575]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23067,plain,
% 39.28/40.18      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.28/40.18      | c_in(c_times(X1,X2,X0),c_IntDef_OInts,X0)
% 39.28/40.18      | ~ c_in(X1,c_IntDef_OInts,X0)
% 39.28/40.18      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_23066]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4571,plain,
% 39.28/40.18      ( c_in(c_minus(X0,X1,X2),c_IntDef_OInts,X2)
% 39.28/40.18      | ~ c_in(X0,c_IntDef_OInts,X2)
% 39.28/40.18      | ~ c_in(X1,c_IntDef_OInts,X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11386_3) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23058,plain,
% 39.28/40.18      ( c_in(c_minus(X0,X1,X2),c_IntDef_OInts,X2)
% 39.28/40.18      | ~ c_in(X0,c_IntDef_OInts,X2)
% 39.28/40.18      | ~ c_in(X1,c_IntDef_OInts,X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4571]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23059,plain,
% 39.28/40.18      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.28/40.18      | c_in(c_minus(X1,X2,X0),c_IntDef_OInts,X0)
% 39.28/40.18      | ~ c_in(X1,c_IntDef_OInts,X0)
% 39.28/40.18      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_23058]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4567,plain,
% 39.28/40.18      ( c_in(c_plus(X0,X1,X2),c_IntDef_OInts,X2)
% 39.28/40.18      | ~ c_in(X0,c_IntDef_OInts,X2)
% 39.28/40.18      | ~ c_in(X1,c_IntDef_OInts,X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11387_3) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23050,plain,
% 39.28/40.18      ( c_in(c_plus(X0,X1,X2),c_IntDef_OInts,X2)
% 39.28/40.18      | ~ c_in(X0,c_IntDef_OInts,X2)
% 39.28/40.18      | ~ c_in(X1,c_IntDef_OInts,X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4567]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23051,plain,
% 39.28/40.18      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.28/40.18      | c_in(c_plus(X1,X2,X0),c_IntDef_OInts,X0)
% 39.28/40.18      | ~ c_in(X1,c_IntDef_OInts,X0)
% 39.28/40.18      | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_23050]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4561,plain,
% 39.28/40.18      ( c_in(X0,c_Inter(X1,X2),X2)
% 39.28/40.18      | ~ c_in(X0,c_Main_OInter__iff__1(X0,X1,X2),X2) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11389_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23038,plain,
% 39.28/40.18      ( c_in(X0,c_Inter(X1,X2),X2)
% 39.28/40.18      | ~ c_in(X0,c_Main_OInter__iff__1(X0,X1,X2),X2) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4561]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4559,plain,
% 39.28/40.18      ( c_in(X0,c_Inter(X1,X2),X2)
% 39.28/40.18      | ~ c_in(X0,c_Main_OInterI__1(X0,X1,X2),X2) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11390_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23034,plain,
% 39.28/40.18      ( c_in(X0,c_Inter(X1,X2),X2)
% 39.28/40.18      | ~ c_in(X0,c_Main_OInterI__1(X0,X1,X2),X2) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4559]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4552,plain,
% 39.28/40.18      ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) | ~ c_in(X0,X2,X3) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11392_2) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23020,plain,
% 39.28/40.18      ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) | ~ c_in(X0,X2,X3) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4552]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4550,plain,
% 39.28/40.18      ( 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)
% 39.28/40.18      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11393_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23016,plain,
% 39.28/40.18      ( 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)
% 39.28/40.18      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4550]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23017,plain,
% 39.28/40.18      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.18      | 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) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_23016]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4548,plain,
% 39.28/40.18      ( 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)
% 39.28/40.18      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11394_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23012,plain,
% 39.28/40.18      ( 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)
% 39.28/40.18      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4548]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23013,plain,
% 39.28/40.18      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.28/40.18      | 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) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_23012]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4546,plain,
% 39.28/40.18      ( 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)
% 39.28/40.18      | ~ c_List_Odistinct(X0,X1) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11395_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23008,plain,
% 39.28/40.18      ( 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)
% 39.28/40.18      | ~ c_List_Odistinct(X0,X1) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4546]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23009,plain,
% 39.28/40.18      ( ~ c_List_Odistinct(X0,X1)
% 39.28/40.18      | 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) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_23008]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4544,plain,
% 39.28/40.18      ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 39.28/40.18      | c_insert(X3,X0,X2) != c_insert(X1,c_emptyset,X2) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11396_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23004,plain,
% 39.28/40.18      ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 39.28/40.18      | c_insert(X3,X0,X2) != c_insert(X1,c_emptyset,X2) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4544]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4542,plain,
% 39.28/40.18      ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 39.28/40.18      | c_insert(X1,c_emptyset,X2) != c_insert(X3,X0,X2) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11397_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_23000,plain,
% 39.28/40.18      ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 39.28/40.18      | c_insert(X1,c_emptyset,X2) != c_insert(X3,X0,X2) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4542]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4539,plain,
% 39.28/40.18      ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 39.28/40.18      | ~ c_in(c_Main_Ofinite__Union__1(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 39.28/40.18      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11398_2) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22994,plain,
% 39.28/40.18      ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 39.28/40.18      | ~ c_in(c_Main_Ofinite__Union__1(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 39.28/40.18      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4539]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4537,plain,
% 39.28/40.18      ( c_in(c_List_Onth(X0,X1,X2),c_List_Oset(X0,X2),X2)
% 39.28/40.18      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11400_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22990,plain,
% 39.28/40.18      ( c_in(c_List_Onth(X0,X1,X2),c_List_Oset(X0,X2),X2)
% 39.28/40.18      | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4537]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22991,plain,
% 39.28/40.18      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 39.28/40.18      | c_in(c_List_Onth(X1,X0,X2),c_List_Oset(X1,X2),X2) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_22990]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4535,plain,
% 39.28/40.18      ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(c_divide(X0,X3,X2),X1,X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Ofield(X2) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11401_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22986,plain,
% 39.28/40.18      ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(c_divide(X0,X3,X2),X1,X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Ofield(X2) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4535]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22987,plain,
% 39.28/40.18      ( ~ class_Ring__and__Field_Ofield(X0)
% 39.28/40.18      | c_divide(c_times(X1,X2,X0),X3,X0) = c_times(c_divide(X1,X3,X0),X2,X0) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_22986]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4533,plain,
% 39.28/40.18      ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(X0,c_divide(X1,X3,X2),X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Ofield(X2) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11402_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22982,plain,
% 39.28/40.18      ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(X0,c_divide(X1,X3,X2),X2)
% 39.28/40.18      | ~ class_Ring__and__Field_Ofield(X2) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4533]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22983,plain,
% 39.28/40.18      ( ~ class_Ring__and__Field_Ofield(X0)
% 39.28/40.18      | c_divide(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_divide(X2,X3,X0),X0) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_22982]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4514,plain,
% 39.28/40.18      ( c_Numeral_Onumber__of(X0,X1) = c_1
% 39.28/40.18      | ~ 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)
% 39.28/40.18      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11407_2) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22944,plain,
% 39.28/40.18      ( c_Numeral_Onumber__of(X0,X1) = c_1
% 39.28/40.18      | ~ 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)
% 39.28/40.18      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4514]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22945,plain,
% 39.28/40.18      ( ~ class_Numeral_Onumber__ring(X0)
% 39.28/40.18      | ~ 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)
% 39.28/40.18      | c_Numeral_Onumber__of(X1,X0) = c_1 ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_22944]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4512,plain,
% 39.28/40.18      ( c_in(c_Main_OdiagE__1(X0,X1,X2),X0,X2)
% 39.28/40.18      | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11410_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22940,plain,
% 39.28/40.18      ( c_in(c_Main_OdiagE__1(X0,X1,X2),X0,X2)
% 39.28/40.18      | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4512]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4510,plain,
% 39.28/40.18      ( c_in(X0,X1,X2) | ~ c_in(X0,c_minus(X1,X3,tc_set(X2)),X2) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11412_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22936,plain,
% 39.28/40.18      ( c_in(X0,X1,X2) | ~ c_in(X0,c_minus(X1,X3,tc_set(X2)),X2) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4510]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22937,plain,
% 39.28/40.18      ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | c_in(X0,X1,X3) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_22936]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4507,plain,
% 39.28/40.18      ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 39.28/40.18      | X1 = X0
% 39.28/40.18      | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X0)
% 39.28/40.18      | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11414_2) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22930,plain,
% 39.28/40.18      ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 39.28/40.18      | X1 = X0
% 39.28/40.18      | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X0)
% 39.28/40.18      | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4507]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22931,plain,
% 39.28/40.18      ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 39.28/40.18      | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 39.28/40.18      | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X0)
% 39.28/40.18      | X1 = X0 ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_22930]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4504,plain,
% 39.28/40.18      ( c_List_Oremove1(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X2,X3),X3)
% 39.28/40.18      | X0 = X1 ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11415_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22924,plain,
% 39.28/40.18      ( c_List_Oremove1(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X2,X3),X3)
% 39.28/40.18      | X0 = X1 ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4504]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4502,plain,
% 39.28/40.18      ( c_lessequals(X0,X1,tc_set(X2))
% 39.28/40.18      | ~ c_lessequals(c_insert(X3,X0,X2),X1,tc_set(X2)) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11416_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22920,plain,
% 39.28/40.18      ( c_lessequals(X0,X1,tc_set(X2))
% 39.28/40.18      | ~ c_lessequals(c_insert(X3,X0,X2),X1,tc_set(X2)) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4502]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22921,plain,
% 39.28/40.18      ( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
% 39.28/40.18      | c_lessequals(X1,X3,tc_set(X2)) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_22920]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4500,plain,
% 39.28/40.18      ( c_lessequals(X0,X1,tc_set(X2))
% 39.28/40.18      | ~ c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2)) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11417_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22916,plain,
% 39.28/40.18      ( c_lessequals(X0,X1,tc_set(X2))
% 39.28/40.18      | ~ c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2)) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4500]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22917,plain,
% 39.28/40.18      ( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 39.28/40.18      | c_lessequals(X1,X3,tc_set(X2)) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_22916]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4498,plain,
% 39.28/40.18      ( c_lessequals(X0,X1,tc_set(X2))
% 39.28/40.18      | ~ c_lessequals(c_union(X0,X3,X2),X1,tc_set(X2)) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11418_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22912,plain,
% 39.28/40.18      ( c_lessequals(X0,X1,tc_set(X2))
% 39.28/40.18      | ~ c_lessequals(c_union(X0,X3,X2),X1,tc_set(X2)) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4498]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22913,plain,
% 39.28/40.18      ( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 39.28/40.18      | c_lessequals(X0,X3,tc_set(X2)) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_22912]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4496,plain,
% 39.28/40.18      ( c_lessequals(X0,X1,tc_set(X2))
% 39.28/40.18      | ~ c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2)) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11419_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22908,plain,
% 39.28/40.18      ( c_lessequals(X0,X1,tc_set(X2))
% 39.28/40.18      | ~ c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2)) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4496]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22909,plain,
% 39.28/40.18      ( ~ c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 39.28/40.18      | c_lessequals(X0,X2,tc_set(X3)) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_22908]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4494,plain,
% 39.28/40.18      ( c_lessequals(X0,X1,tc_set(X2))
% 39.28/40.18      | ~ c_lessequals(X0,c_inter(X1,X3,X2),tc_set(X2)) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11420_1) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22904,plain,
% 39.28/40.18      ( c_lessequals(X0,X1,tc_set(X2))
% 39.28/40.18      | ~ c_lessequals(X0,c_inter(X1,X3,X2),tc_set(X2)) ),
% 39.28/40.18      inference(copy,[status(esa)],[c_4494]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_22905,plain,
% 39.28/40.18      ( ~ c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 39.28/40.18      | c_lessequals(X0,X1,tc_set(X3)) ),
% 39.28/40.18      inference(rewriting,[status(thm)],[c_22904]) ).
% 39.28/40.18  
% 39.28/40.18  cnf(c_4489,plain,
% 39.28/40.18      ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.28/40.18      | ~ c_in(c_insert(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 39.28/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11427_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22894,plain,
% 39.33/40.18      ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.33/40.18      | ~ c_in(c_insert(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4489]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22895,plain,
% 39.33/40.18      ( ~ c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 39.33/40.18      | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22894]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4487,plain,
% 39.33/40.18      ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.33/40.18      | ~ c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11428_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22890,plain,
% 39.33/40.18      ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.33/40.18      | ~ c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4487]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22891,plain,
% 39.33/40.18      ( ~ c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 39.33/40.18      | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22890]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4485,plain,
% 39.33/40.18      ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.33/40.18      | ~ c_in(c_union(X0,X2,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11429_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22886,plain,
% 39.33/40.18      ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.33/40.18      | ~ c_in(c_union(X0,X2,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4485]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22887,plain,
% 39.33/40.18      ( ~ c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 39.33/40.18      | c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22886]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4483,plain,
% 39.33/40.18      ( ~ c_less(c_0,X0,tc_nat)
% 39.33/40.18      | c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 39.33/40.18      | ~ c_less(c_0,X1,tc_nat) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11430_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22882,plain,
% 39.33/40.18      ( ~ c_less(c_0,X0,tc_nat)
% 39.33/40.18      | c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 39.33/40.18      | ~ c_less(c_0,X1,tc_nat) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4483]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22883,plain,
% 39.33/40.18      ( ~ c_less(c_0,X0,tc_nat)
% 39.33/40.18      | ~ c_less(c_0,X1,tc_nat)
% 39.33/40.18      | c_less(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22882]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4473,plain,
% 39.33/40.18      ( c_in(X0,X1,X2) | ~ c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2)) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11437_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22862,plain,
% 39.33/40.18      ( c_in(X0,X1,X2) | ~ c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2)) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4473]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22863,plain,
% 39.33/40.18      ( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2)) | c_in(X0,X3,X2) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22862]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4470,plain,
% 39.33/40.18      ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 39.33/40.18      | ~ c_less(c_0,X0,tc_nat)
% 39.33/40.18      | ~ c_less(c_0,X1,tc_nat) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11438_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22856,plain,
% 39.33/40.18      ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 39.33/40.18      | ~ c_less(c_0,X0,tc_nat)
% 39.33/40.18      | ~ c_less(c_0,X1,tc_nat) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4470]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4467,plain,
% 39.33/40.18      ( c_in(X0,X1,X2)
% 39.33/40.18      | ~ c_in(X0,c_List_Oset(X3,X2),X2)
% 39.33/40.18      | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11439_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22850,plain,
% 39.33/40.18      ( c_in(X0,X1,X2)
% 39.33/40.18      | ~ c_in(X0,c_List_Oset(X3,X2),X2)
% 39.33/40.18      | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4467]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22851,plain,
% 39.33/40.18      ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 39.33/40.18      | ~ c_in(X3,c_List_Oset(X0,X2),X2)
% 39.33/40.18      | c_in(X3,X1,X2) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22850]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4465,plain,
% 39.33/40.18      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 39.33/40.18      | ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11440_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22846,plain,
% 39.33/40.18      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 39.33/40.18      | ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4465]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22847,plain,
% 39.33/40.18      ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 39.33/40.18      | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22846]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4462,plain,
% 39.33/40.18      ( c_less(X0,X1,X2)
% 39.33/40.18      | ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X3,X1,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11441_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22840,plain,
% 39.33/40.18      ( c_less(X0,X1,X2)
% 39.33/40.18      | ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X3,X1,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4462]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22841,plain,
% 39.33/40.18      ( ~ class_Orderings_Oord(X0)
% 39.33/40.18      | c_less(X1,X2,X0)
% 39.33/40.18      | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22840]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4459,plain,
% 39.33/40.18      ( c_less(X0,X1,X2)
% 39.33/40.18      | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X0,X3,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11442_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22834,plain,
% 39.33/40.18      ( c_less(X0,X1,X2)
% 39.33/40.18      | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X0,X3,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4459]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22835,plain,
% 39.33/40.18      ( ~ class_Orderings_Oord(X0)
% 39.33/40.18      | c_less(X1,X2,X0)
% 39.33/40.18      | ~ c_in(X2,c_SetInterval_OgreaterThanLessThan(X1,X3,X0),X0) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22834]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4456,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,X2)
% 39.33/40.18      | ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X3,X1,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11443_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22828,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,X2)
% 39.33/40.18      | ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X3,X1,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4456]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22829,plain,
% 39.33/40.18      ( ~ class_Orderings_Oord(X0)
% 39.33/40.18      | c_lessequals(X1,X2,X0)
% 39.33/40.18      | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X3,X2,X0),X0) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22828]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4453,plain,
% 39.33/40.18      ( c_less(X0,X1,X2)
% 39.33/40.18      | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X0,X3,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11444_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22822,plain,
% 39.33/40.18      ( c_less(X0,X1,X2)
% 39.33/40.18      | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X0,X3,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4453]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22823,plain,
% 39.33/40.18      ( ~ class_Orderings_Oord(X0)
% 39.33/40.18      | c_less(X1,X2,X0)
% 39.33/40.18      | ~ c_in(X2,c_SetInterval_OgreaterThanAtMost(X1,X3,X0),X0) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22822]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4450,plain,
% 39.33/40.18      ( c_less(X0,X1,X2)
% 39.33/40.18      | ~ c_in(X0,c_SetInterval_OatLeastLessThan(X3,X1,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11445_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22816,plain,
% 39.33/40.18      ( c_less(X0,X1,X2)
% 39.33/40.18      | ~ c_in(X0,c_SetInterval_OatLeastLessThan(X3,X1,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4450]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22817,plain,
% 39.33/40.18      ( ~ class_Orderings_Oord(X0)
% 39.33/40.18      | c_less(X1,X2,X0)
% 39.33/40.18      | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X3,X2,X0),X0) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22816]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4447,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,X2)
% 39.33/40.18      | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X0,X3,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11446_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22810,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,X2)
% 39.33/40.18      | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X0,X3,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4447]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22811,plain,
% 39.33/40.18      ( ~ class_Orderings_Oord(X0)
% 39.33/40.18      | c_lessequals(X1,X2,X0)
% 39.33/40.18      | ~ c_in(X2,c_SetInterval_OatLeastLessThan(X1,X3,X0),X0) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22810]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4444,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,X2)
% 39.33/40.18      | ~ c_in(X0,c_SetInterval_OatLeastAtMost(X3,X1,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11447_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22804,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,X2)
% 39.33/40.18      | ~ c_in(X0,c_SetInterval_OatLeastAtMost(X3,X1,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4444]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22805,plain,
% 39.33/40.18      ( ~ class_Orderings_Oord(X0)
% 39.33/40.18      | c_lessequals(X1,X2,X0)
% 39.33/40.18      | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22804]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4441,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,X2)
% 39.33/40.18      | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X0,X3,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11448_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22798,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,X2)
% 39.33/40.18      | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X0,X3,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4441]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22799,plain,
% 39.33/40.18      ( ~ class_Orderings_Oord(X0)
% 39.33/40.18      | c_lessequals(X1,X2,X0)
% 39.33/40.18      | ~ c_in(X2,c_SetInterval_OatLeastAtMost(X1,X3,X0),X0) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22798]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4438,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,X2)
% 39.33/40.18      | ~ c_lessequals(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 39.33/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11449_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22792,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,X2)
% 39.33/40.18      | ~ c_lessequals(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 39.33/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4438]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22793,plain,
% 39.33/40.18      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.18      | ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 39.33/40.18      | c_lessequals(X2,X3,X0) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22792]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4435,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,X2)
% 39.33/40.18      | ~ c_lessequals(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 39.33/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11450_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22786,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,X2)
% 39.33/40.18      | ~ c_lessequals(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 39.33/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4435]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22787,plain,
% 39.33/40.18      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.18      | ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 39.33/40.18      | c_lessequals(X1,X3,X0) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22786]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4432,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,X2)
% 39.33/40.18      | ~ c_lessequals(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11451_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22780,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,X2)
% 39.33/40.18      | ~ c_lessequals(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4432]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22781,plain,
% 39.33/40.18      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.18      | ~ c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 39.33/40.18      | c_lessequals(X1,X3,X0) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22780]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4429,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,X2)
% 39.33/40.18      | ~ c_lessequals(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11452_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22774,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,X2)
% 39.33/40.18      | ~ c_lessequals(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4429]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22775,plain,
% 39.33/40.18      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.18      | ~ c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 39.33/40.18      | c_lessequals(X1,X2,X0) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22774]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4426,plain,
% 39.33/40.18      ( c_less(X0,X1,X2)
% 39.33/40.18      | ~ c_less(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11453_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22768,plain,
% 39.33/40.18      ( c_less(X0,X1,X2)
% 39.33/40.18      | ~ c_less(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4426]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22769,plain,
% 39.33/40.18      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.18      | ~ c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 39.33/40.18      | c_less(X1,X3,X0) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22768]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4423,plain,
% 39.33/40.18      ( c_less(X0,X1,X2)
% 39.33/40.18      | ~ c_less(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11454_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22762,plain,
% 39.33/40.18      ( c_less(X0,X1,X2)
% 39.33/40.18      | ~ c_less(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 39.33/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4423]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22763,plain,
% 39.33/40.18      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.18      | ~ c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 39.33/40.18      | c_less(X1,X2,X0) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22762]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4420,plain,
% 39.33/40.18      ( c_less(X0,X1,X2)
% 39.33/40.18      | ~ c_less(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 39.33/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11455_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22756,plain,
% 39.33/40.18      ( c_less(X0,X1,X2)
% 39.33/40.18      | ~ c_less(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 39.33/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4420]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22757,plain,
% 39.33/40.18      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.18      | ~ c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 39.33/40.18      | c_less(X2,X3,X0) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22756]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4417,plain,
% 39.33/40.18      ( c_less(X0,X1,X2)
% 39.33/40.18      | ~ c_less(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 39.33/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11456_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22750,plain,
% 39.33/40.18      ( c_less(X0,X1,X2)
% 39.33/40.18      | ~ c_less(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 39.33/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4417]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22751,plain,
% 39.33/40.18      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.18      | ~ c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 39.33/40.18      | c_less(X1,X3,X0) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22750]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4414,plain,
% 39.33/40.18      ( 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)
% 39.33/40.18      | ~ c_lessequals(X2,X0,tc_nat)
% 39.33/40.18      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11457_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22744,plain,
% 39.33/40.18      ( 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)
% 39.33/40.18      | ~ c_lessequals(X2,X0,tc_nat)
% 39.33/40.18      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4414]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22745,plain,
% 39.33/40.18      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.33/40.18      | ~ c_lessequals(X1,X2,tc_nat)
% 39.33/40.18      | 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) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22744]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4411,plain,
% 39.33/40.18      ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 39.33/40.18      | c_in(X0,X2,X3)
% 39.33/40.18      | ~ c_in(X0,X1,X3) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11458_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22738,plain,
% 39.33/40.18      ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 39.33/40.18      | c_in(X0,X2,X3)
% 39.33/40.18      | ~ c_in(X0,X1,X3) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4411]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4409,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,tc_set(X2))
% 39.33/40.18      | ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11459_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22734,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,tc_set(X2))
% 39.33/40.18      | ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4409]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4375,plain,
% 39.33/40.18      ( c_minus(c_insert(X0,X1,X2),X3,tc_set(X2)) = c_minus(X1,X3,tc_set(X2))
% 39.33/40.18      | ~ c_in(X0,X3,X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11468_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22666,plain,
% 39.33/40.18      ( c_minus(c_insert(X0,X1,X2),X3,tc_set(X2)) = c_minus(X1,X3,tc_set(X2))
% 39.33/40.18      | ~ c_in(X0,X3,X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4375]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22667,plain,
% 39.33/40.18      ( ~ c_in(X0,X1,X2)
% 39.33/40.18      | c_minus(c_insert(X0,X3,X2),X1,tc_set(X2)) = c_minus(X3,X1,tc_set(X2)) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22666]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4364,plain,
% 39.33/40.18      ( c_less(X0,X1,X2)
% 39.33/40.18      | ~ c_less(c_minus(X0,X1,X2),c_0,X2)
% 39.33/40.18      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11471_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22644,plain,
% 39.33/40.18      ( c_less(X0,X1,X2)
% 39.33/40.18      | ~ c_less(c_minus(X0,X1,X2),c_0,X2)
% 39.33/40.18      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4364]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22645,plain,
% 39.33/40.18      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.18      | ~ c_less(c_minus(X1,X2,X0),c_0,X0)
% 39.33/40.18      | c_less(X1,X2,X0) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22644]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4361,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,X2)
% 39.33/40.18      | ~ c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 39.33/40.18      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11472_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22638,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,X2)
% 39.33/40.18      | ~ c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 39.33/40.18      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4361]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22639,plain,
% 39.33/40.18      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.18      | ~ c_lessequals(c_minus(X1,X2,X0),c_0,X0)
% 39.33/40.18      | c_lessequals(X1,X2,X0) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22638]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4359,plain,
% 39.33/40.18      ( 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)
% 39.33/40.18      | X1 = c_0 ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11474_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22634,plain,
% 39.33/40.18      ( 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)
% 39.33/40.18      | X1 = c_0 ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4359]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4357,plain,
% 39.33/40.18      ( 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)
% 39.33/40.18      | X0 = c_0 ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11475_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22630,plain,
% 39.33/40.18      ( 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)
% 39.33/40.18      | X0 = c_0 ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4357]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4351,plain,
% 39.33/40.18      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 39.33/40.18      | c_less(c_0,X1,tc_nat) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11477_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22618,plain,
% 39.33/40.18      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 39.33/40.18      | c_less(c_0,X1,tc_nat) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4351]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4349,plain,
% 39.33/40.18      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 39.33/40.18      | c_less(c_0,X0,tc_nat) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11478_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22614,plain,
% 39.33/40.18      ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 39.33/40.18      | c_less(c_0,X0,tc_nat) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4349]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4346,plain,
% 39.33/40.18      ( c_lessequals(c_0,X0,X1)
% 39.33/40.18      | ~ c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 39.33/40.18      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11479_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22608,plain,
% 39.33/40.18      ( c_lessequals(c_0,X0,X1)
% 39.33/40.18      | ~ c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 39.33/40.18      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4346]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22609,plain,
% 39.33/40.18      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.18      | ~ c_lessequals(c_0,c_plus(X1,X1,X0),X0)
% 39.33/40.18      | c_lessequals(c_0,X1,X0) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22608]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4343,plain,
% 39.33/40.18      ( c_lessequals(X0,c_0,X1)
% 39.33/40.18      | ~ c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 39.33/40.18      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11480_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22602,plain,
% 39.33/40.18      ( c_lessequals(X0,c_0,X1)
% 39.33/40.18      | ~ c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 39.33/40.18      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4343]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22603,plain,
% 39.33/40.18      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.18      | ~ c_lessequals(c_plus(X1,X1,X0),c_0,X0)
% 39.33/40.18      | c_lessequals(X1,c_0,X0) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22602]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4340,plain,
% 39.33/40.18      ( X0 = X1 | c_in(X0,X2,X3) | ~ c_in(X0,c_insert(X1,X2,X3),X3) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11481_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22596,plain,
% 39.33/40.18      ( X0 = X1 | c_in(X0,X2,X3) | ~ c_in(X0,c_insert(X1,X2,X3),X3) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4340]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22597,plain,
% 39.33/40.18      ( ~ c_in(X0,c_insert(X1,X2,X3),X3) | c_in(X0,X2,X3) | X0 = X1 ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22596]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4337,plain,
% 39.33/40.18      ( X0 = X1
% 39.33/40.18      | c_List_Oop_Amem(X1,X2,X3)
% 39.33/40.18      | ~ c_List_Oop_Amem(X1,c_List_Olist_OCons(X0,X2,X3),X3) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11482_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22590,plain,
% 39.33/40.18      ( X0 = X1
% 39.33/40.18      | c_List_Oop_Amem(X1,X2,X3)
% 39.33/40.18      | ~ c_List_Oop_Amem(X1,c_List_Olist_OCons(X0,X2,X3),X3) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4337]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22591,plain,
% 39.33/40.18      ( ~ c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 39.33/40.18      | c_List_Oop_Amem(X0,X2,X3)
% 39.33/40.18      | X1 = X0 ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22590]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4330,plain,
% 39.33/40.18      ( c_inter(X0,X1,X2) = c_emptyset
% 39.33/40.18      | c_inter(c_insert(X3,X0,X2),X1,X2) != c_emptyset ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11485_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22576,plain,
% 39.33/40.18      ( c_inter(X0,X1,X2) = c_emptyset
% 39.33/40.18      | c_inter(c_insert(X3,X0,X2),X1,X2) != c_emptyset ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4330]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22577,plain,
% 39.33/40.18      ( c_inter(c_insert(X0,X1,X2),X3,X2) != c_emptyset
% 39.33/40.18      | c_inter(X1,X3,X2) = c_emptyset ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22576]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4326,plain,
% 39.33/40.18      ( c_inter(X0,X1,X2) = c_emptyset
% 39.33/40.18      | c_inter(X0,c_insert(X3,X1,X2),X2) != c_emptyset ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11487_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22568,plain,
% 39.33/40.18      ( c_inter(X0,X1,X2) = c_emptyset
% 39.33/40.18      | c_inter(X0,c_insert(X3,X1,X2),X2) != c_emptyset ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4326]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22569,plain,
% 39.33/40.18      ( c_inter(X0,c_insert(X1,X2,X3),X3) != c_emptyset
% 39.33/40.18      | c_inter(X0,X2,X3) = c_emptyset ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22568]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4324,plain,
% 39.33/40.18      ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X3,X1,X2),X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11488_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22564,plain,
% 39.33/40.18      ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X3,X1,X2),X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4324]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22565,plain,
% 39.33/40.18      ( ~ c_in(X0,c_inter(X1,X2,X3),X3) | c_in(X0,X2,X3) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22564]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4322,plain,
% 39.33/40.18      ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X1,X3,X2),X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11489_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22560,plain,
% 39.33/40.18      ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X1,X3,X2),X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4322]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22561,plain,
% 39.33/40.18      ( ~ c_in(X0,c_inter(X1,X2,X3),X3) | c_in(X0,X1,X3) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22560]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4320,plain,
% 39.33/40.18      ( X0 = c_0
% 39.33/40.18      | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11490_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22556,plain,
% 39.33/40.18      ( X0 = c_0
% 39.33/40.18      | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4320]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22557,plain,
% 39.33/40.18      ( ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.18      | X0 = c_0 ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22556]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4317,plain,
% 39.33/40.18      ( 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)
% 39.33/40.18      | c_Numeral_Onumber__of(X0,X1) != c_1
% 39.33/40.18      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11492_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22550,plain,
% 39.33/40.18      ( 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)
% 39.33/40.18      | c_Numeral_Onumber__of(X0,X1) != c_1
% 39.33/40.18      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4317]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22551,plain,
% 39.33/40.18      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.18      | 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)
% 39.33/40.18      | c_Numeral_Onumber__of(X1,X0) != c_1 ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22550]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4310,plain,
% 39.33/40.18      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.18      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.18      | ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11495_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22536,plain,
% 39.33/40.18      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.18      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.18      | ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4310]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22537,plain,
% 39.33/40.18      ( ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.33/40.18      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.18      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22536]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4302,plain,
% 39.33/40.18      ( c_Orderings_Omin(X0,c_Finite__Set_OMin(X1,X2),X2) = c_Finite__Set_OMin(c_insert(X0,X1,X2),X2)
% 39.33/40.18      | X1 = c_emptyset
% 39.33/40.18      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 39.33/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11498_3) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22520,plain,
% 39.33/40.18      ( c_Orderings_Omin(X0,c_Finite__Set_OMin(X1,X2),X2) = c_Finite__Set_OMin(c_insert(X0,X1,X2),X2)
% 39.33/40.18      | X1 = c_emptyset
% 39.33/40.18      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 39.33/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4302]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22521,plain,
% 39.33/40.18      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.18      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 39.33/40.18      | c_Orderings_Omin(X2,c_Finite__Set_OMin(X1,X0),X0) = c_Finite__Set_OMin(c_insert(X2,X1,X0),X0)
% 39.33/40.18      | X1 = c_emptyset ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22520]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4298,plain,
% 39.33/40.18      ( c_Orderings_Omax(X0,c_Finite__Set_OMax(X1,X2),X2) = c_Finite__Set_OMax(c_insert(X0,X1,X2),X2)
% 39.33/40.18      | X1 = c_emptyset
% 39.33/40.18      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 39.33/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11499_3) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22512,plain,
% 39.33/40.18      ( c_Orderings_Omax(X0,c_Finite__Set_OMax(X1,X2),X2) = c_Finite__Set_OMax(c_insert(X0,X1,X2),X2)
% 39.33/40.18      | X1 = c_emptyset
% 39.33/40.18      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 39.33/40.18      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4298]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22513,plain,
% 39.33/40.18      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.18      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 39.33/40.18      | c_Orderings_Omax(X2,c_Finite__Set_OMax(X1,X0),X0) = c_Finite__Set_OMax(c_insert(X2,X1,X0),X0)
% 39.33/40.18      | X1 = c_emptyset ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22512]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4280,plain,
% 39.33/40.18      ( c_List_Onth(c_List_Otake(X0,X1,X2),X3,X2) = c_List_Onth(X1,X3,X2)
% 39.33/40.18      | ~ c_less(X3,X0,tc_nat) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11505_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22476,plain,
% 39.33/40.18      ( c_List_Onth(c_List_Otake(X0,X1,X2),X3,X2) = c_List_Onth(X1,X3,X2)
% 39.33/40.18      | ~ c_less(X3,X0,tc_nat) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4280]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22477,plain,
% 39.33/40.18      ( ~ c_less(X0,X1,tc_nat)
% 39.33/40.18      | c_List_Onth(c_List_Otake(X1,X2,X3),X0,X3) = c_List_Onth(X2,X0,X3) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22476]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4277,plain,
% 39.33/40.18      ( c_Finite__Set_Ocard(c_insert(X0,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
% 39.33/40.18      | c_in(X0,X1,X2)
% 39.33/40.18      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11506_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22470,plain,
% 39.33/40.18      ( c_Finite__Set_Ocard(c_insert(X0,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
% 39.33/40.18      | c_in(X0,X1,X2)
% 39.33/40.18      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4277]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22471,plain,
% 39.33/40.18      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.33/40.18      | c_in(X2,X0,X1)
% 39.33/40.18      | c_Finite__Set_Ocard(c_insert(X2,X0,X1),X1) = c_Suc(c_Finite__Set_Ocard(X0,X1)) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22470]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4271,plain,
% 39.33/40.18      ( c_less(X0,X1,tc_nat) | ~ c_less(c_0,c_minus(X1,X0,tc_nat),tc_nat) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11508_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22458,plain,
% 39.33/40.18      ( c_less(X0,X1,tc_nat) | ~ c_less(c_0,c_minus(X1,X0,tc_nat),tc_nat) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4271]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22459,plain,
% 39.33/40.18      ( ~ c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | c_less(X1,X0,tc_nat) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22458]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4269,plain,
% 39.33/40.18      ( c_inter(c_List_Oset(X0,X1),c_List_Oset(X2,X1),X1) = c_emptyset
% 39.33/40.18      | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11509_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22454,plain,
% 39.33/40.18      ( c_inter(c_List_Oset(X0,X1),c_List_Oset(X2,X1),X1) = c_emptyset
% 39.33/40.18      | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4269]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22455,plain,
% 39.33/40.18      ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2)
% 39.33/40.18      | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) = c_emptyset ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22454]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4267,plain,
% 39.33/40.18      ( c_List_Olist__inter(c_List_Olist_OCons(X0,X1,X2),X3,X2) = c_List_Olist__inter(X1,X3,X2)
% 39.33/40.18      | c_in(X0,c_List_Oset(X3,X2),X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11510_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22450,plain,
% 39.33/40.18      ( c_List_Olist__inter(c_List_Olist_OCons(X0,X1,X2),X3,X2) = c_List_Olist__inter(X1,X3,X2)
% 39.33/40.18      | c_in(X0,c_List_Oset(X3,X2),X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4267]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22451,plain,
% 39.33/40.18      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 39.33/40.18      | c_List_Olist__inter(c_List_Olist_OCons(X0,X3,X2),X1,X2) = c_List_Olist__inter(X3,X1,X2) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22450]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4265,plain,
% 39.33/40.18      ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X1,X0,tc_nat),tc_nat) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11511_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22446,plain,
% 39.33/40.18      ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X1,X0,tc_nat),tc_nat) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4265]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22447,plain,
% 39.33/40.18      ( ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) | c_less(c_0,X1,tc_nat) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22446]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4263,plain,
% 39.33/40.18      ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11512_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22442,plain,
% 39.33/40.18      ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4263]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22443,plain,
% 39.33/40.18      ( ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) | c_less(c_0,X0,tc_nat) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22442]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4261,plain,
% 39.33/40.18      ( c_less(X0,X1,tc_IntDef_Oint)
% 39.33/40.18      | ~ c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11513_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22438,plain,
% 39.33/40.18      ( c_less(X0,X1,tc_IntDef_Oint)
% 39.33/40.18      | ~ c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4261]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22439,plain,
% 39.33/40.18      ( ~ c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.18      | c_less(X0,X1,tc_IntDef_Oint) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22438]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4259,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 39.33/40.18      | ~ c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11514_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22434,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 39.33/40.18      | ~ c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4259]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4257,plain,
% 39.33/40.18      ( c_in(c_Main_OUnion__iff__1(X0,X1,X2),X1,tc_set(X2))
% 39.33/40.18      | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11515_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22430,plain,
% 39.33/40.18      ( c_in(c_Main_OUnion__iff__1(X0,X1,X2),X1,tc_set(X2))
% 39.33/40.18      | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4257]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4255,plain,
% 39.33/40.18      ( c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2))
% 39.33/40.18      | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11516_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22426,plain,
% 39.33/40.18      ( c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2))
% 39.33/40.18      | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4255]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4245,plain,
% 39.33/40.18      ( X0 = c_append(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil,X2),X2)
% 39.33/40.18      | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11519_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22406,plain,
% 39.33/40.18      ( X0 = c_append(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil,X2),X2)
% 39.33/40.18      | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4245]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22407,plain,
% 39.33/40.18      ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,X3,X1)
% 39.33/40.18      | X0 = c_append(c_List_Orev(X3,X1),c_List_Olist_OCons(X2,c_List_Olist_ONil,X1),X1) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22406]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4243,plain,
% 39.33/40.18      ( 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)
% 39.33/40.18      | ~ c_in(c_0,X2,tc_nat) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11520_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22402,plain,
% 39.33/40.18      ( 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)
% 39.33/40.18      | ~ c_in(c_0,X2,tc_nat) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4243]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22403,plain,
% 39.33/40.18      ( ~ c_in(c_0,X0,tc_nat)
% 39.33/40.18      | 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) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22402]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4237,plain,
% 39.33/40.18      ( c_in(X0,c_Main_OUnion__iff__1(X0,X1,X2),X2)
% 39.33/40.18      | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11523_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22390,plain,
% 39.33/40.18      ( c_in(X0,c_Main_OUnion__iff__1(X0,X1,X2),X2)
% 39.33/40.18      | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4237]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22391,plain,
% 39.33/40.18      ( ~ c_in(X0,c_Union(X1,X2),X2)
% 39.33/40.18      | c_in(X0,c_Main_OUnion__iff__1(X0,X1,X2),X2) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22390]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4235,plain,
% 39.33/40.18      ( c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2)
% 39.33/40.18      | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11524_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22386,plain,
% 39.33/40.18      ( c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2)
% 39.33/40.18      | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4235]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22387,plain,
% 39.33/40.18      ( ~ c_in(X0,c_Union(X1,X2),X2)
% 39.33/40.18      | c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22386]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4227,plain,
% 39.33/40.18      ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 39.33/40.18      | c_in(c_Main_Ofinite__Union__1(X0,X1),X0,tc_set(X1))
% 39.33/40.18      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11526_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22370,plain,
% 39.33/40.18      ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 39.33/40.18      | c_in(c_Main_Ofinite__Union__1(X0,X1),X0,tc_set(X1))
% 39.33/40.18      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4227]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4225,plain,
% 39.33/40.18      ( 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))
% 39.33/40.18      | ~ c_lessequals(X0,X1,tc_nat) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11527_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22366,plain,
% 39.33/40.18      ( 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))
% 39.33/40.18      | ~ c_lessequals(X0,X1,tc_nat) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4225]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22367,plain,
% 39.33/40.18      ( ~ c_lessequals(X0,X1,tc_nat)
% 39.33/40.18      | 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)) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22366]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4223,plain,
% 39.33/40.18      ( c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)) = c_minus(X0,X2,tc_set(X3))
% 39.33/40.18      | c_in(X1,X0,X3) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11528_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22362,plain,
% 39.33/40.18      ( c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)) = c_minus(X0,X2,tc_set(X3))
% 39.33/40.18      | c_in(X1,X0,X3) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4223]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22363,plain,
% 39.33/40.18      ( c_in(X0,X1,X2)
% 39.33/40.18      | c_minus(X1,c_insert(X0,X3,X2),tc_set(X2)) = c_minus(X1,X3,tc_set(X2)) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22362]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4221,plain,
% 39.33/40.18      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 39.33/40.18      | ~ c_less(c_0,X0,tc_nat) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11529_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22358,plain,
% 39.33/40.18      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 39.33/40.18      | ~ c_less(c_0,X0,tc_nat) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4221]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4219,plain,
% 39.33/40.18      ( c_List_Olist_OCons(X0,c_List_Oremdups(X1,X2),X2) = c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2)
% 39.33/40.18      | c_in(X0,c_List_Oset(X1,X2),X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11530_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22354,plain,
% 39.33/40.18      ( c_List_Olist_OCons(X0,c_List_Oremdups(X1,X2),X2) = c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2)
% 39.33/40.18      | c_in(X0,c_List_Oset(X1,X2),X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4219]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22355,plain,
% 39.33/40.18      ( c_in(X0,c_List_Oset(X1,X2),X2)
% 39.33/40.18      | c_List_Olist_OCons(X0,c_List_Oremdups(X1,X2),X2) = c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22354]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4217,plain,
% 39.33/40.18      ( 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
% 39.33/40.18      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11531_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22350,plain,
% 39.33/40.18      ( 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
% 39.33/40.18      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4217]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22351,plain,
% 39.33/40.18      ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.18      | 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 ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22350]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4215,plain,
% 39.33/40.18      ( c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 39.33/40.18      | ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11532_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22346,plain,
% 39.33/40.18      ( c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 39.33/40.18      | ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4215]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22347,plain,
% 39.33/40.18      ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 39.33/40.18      | c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22346]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4205,plain,
% 39.33/40.18      ( c_List_Otl(c_List_Oreplicate(X0,X1,X2),X2) = c_List_Oreplicate(c_minus(X0,c_1,tc_nat),X1,X2)
% 39.33/40.18      | X0 = c_0 ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11535_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22326,plain,
% 39.33/40.18      ( c_List_Otl(c_List_Oreplicate(X0,X1,X2),X2) = c_List_Oreplicate(c_minus(X0,c_1,tc_nat),X1,X2)
% 39.33/40.18      | X0 = c_0 ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4205]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4203,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,tc_set(X2))
% 39.33/40.18      | ~ c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X0,tc_set(X2)),tc_set(X2)) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11536_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22322,plain,
% 39.33/40.18      ( c_lessequals(X0,X1,tc_set(X2))
% 39.33/40.18      | ~ c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X0,tc_set(X2)),tc_set(X2)) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4203]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22323,plain,
% 39.33/40.18      ( ~ c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 39.33/40.18      | c_lessequals(X2,X0,tc_set(X1)) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22322]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4200,plain,
% 39.33/40.18      ( c_divide(c_times(X0,c_0,X1),c_times(X2,c_0,X1),X1) = c_0
% 39.33/40.18      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.18      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11537_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22316,plain,
% 39.33/40.18      ( c_divide(c_times(X0,c_0,X1),c_times(X2,c_0,X1),X1) = c_0
% 39.33/40.18      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.18      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4200]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22317,plain,
% 39.33/40.18      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.18      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.18      | c_divide(c_times(X1,c_0,X0),c_times(X2,c_0,X0),X0) = c_0 ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22316]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4197,plain,
% 39.33/40.18      ( c_divide(c_times(c_0,X0,X1),c_times(c_0,X2,X1),X1) = c_0
% 39.33/40.18      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.18      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11538_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22310,plain,
% 39.33/40.18      ( c_divide(c_times(c_0,X0,X1),c_times(c_0,X2,X1),X1) = c_0
% 39.33/40.18      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.18      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4197]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22311,plain,
% 39.33/40.18      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.18      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.18      | c_divide(c_times(c_0,X1,X0),c_times(c_0,X2,X0),X0) = c_0 ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22310]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4178,plain,
% 39.33/40.18      ( c_divide(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X0
% 39.33/40.18      | c_Numeral_Onumber__of(X1,X2) = c_0
% 39.33/40.18      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.18      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.33/40.18      | ~ class_Numeral_Onumber(X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11542_4) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22272,plain,
% 39.33/40.18      ( c_divide(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X0
% 39.33/40.18      | c_Numeral_Onumber__of(X1,X2) = c_0
% 39.33/40.18      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.18      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.33/40.18      | ~ class_Numeral_Onumber(X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4178]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22273,plain,
% 39.33/40.18      ( ~ class_Numeral_Onumber(X0)
% 39.33/40.18      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.18      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.18      | c_Numeral_Onumber__of(X1,X0) = c_0
% 39.33/40.18      | c_divide(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = X2 ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22272]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4173,plain,
% 39.33/40.18      ( c_Numeral_Onumber__of(X0,X1) = c_0
% 39.33/40.18      | c_times(c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = X2
% 39.33/40.18      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.18      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.33/40.18      | ~ class_Numeral_Onumber(X1) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11543_4) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22262,plain,
% 39.33/40.18      ( c_Numeral_Onumber__of(X0,X1) = c_0
% 39.33/40.18      | c_times(c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = X2
% 39.33/40.18      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.18      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.33/40.18      | ~ class_Numeral_Onumber(X1) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4173]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22263,plain,
% 39.33/40.18      ( ~ class_Numeral_Onumber(X0)
% 39.33/40.18      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.18      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.18      | c_Numeral_Onumber__of(X1,X0) = c_0
% 39.33/40.18      | c_times(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = X2 ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22262]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4171,plain,
% 39.33/40.18      ( c_in(c_Main_Oin__listsI__1(X0,X1,X2),c_List_Oset(X1,X2),X2)
% 39.33/40.18      | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11544_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22258,plain,
% 39.33/40.18      ( c_in(c_Main_Oin__listsI__1(X0,X1,X2),c_List_Oset(X1,X2),X2)
% 39.33/40.18      | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4171]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4160,plain,
% 39.33/40.18      ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 39.33/40.18      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11547_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22236,plain,
% 39.33/40.18      ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 39.33/40.18      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4160]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4131,plain,
% 39.33/40.18      ( c_in(X0,c_Union(X1,X2),X2)
% 39.33/40.18      | ~ c_in(X3,X1,tc_set(X2))
% 39.33/40.18      | ~ c_in(X0,X3,X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11555_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22178,plain,
% 39.33/40.18      ( c_in(X0,c_Union(X1,X2),X2)
% 39.33/40.18      | ~ c_in(X3,X1,tc_set(X2))
% 39.33/40.18      | ~ c_in(X0,X3,X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4131]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4129,plain,
% 39.33/40.18      ( c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Oremdups(X1,X2)
% 39.33/40.18      | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11556_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22174,plain,
% 39.33/40.18      ( c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Oremdups(X1,X2)
% 39.33/40.18      | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4129]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22175,plain,
% 39.33/40.18      ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 39.33/40.18      | c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Oremdups(X1,X2) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22174]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4124,plain,
% 39.33/40.18      ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 39.33/40.18      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11558_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22164,plain,
% 39.33/40.18      ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 39.33/40.18      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4124]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4122,plain,
% 39.33/40.18      ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 39.33/40.18      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11559_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22160,plain,
% 39.33/40.18      ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 39.33/40.18      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4122]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4120,plain,
% 39.33/40.18      ( c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 39.33/40.18      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11560_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22156,plain,
% 39.33/40.18      ( c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 39.33/40.18      | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4120]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4118,plain,
% 39.33/40.18      ( 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)
% 39.33/40.18      | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11561_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22152,plain,
% 39.33/40.18      ( 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)
% 39.33/40.18      | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4118]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22153,plain,
% 39.33/40.18      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 39.33/40.18      | 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) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22152]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4106,plain,
% 39.33/40.18      ( c_divide(c_times(c_0,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = c_0
% 39.33/40.18      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.18      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.33/40.18      | ~ class_Numeral_Onumber(X1) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11564_3) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22128,plain,
% 39.33/40.18      ( c_divide(c_times(c_0,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = c_0
% 39.33/40.18      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.18      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.33/40.18      | ~ class_Numeral_Onumber(X1) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4106]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22129,plain,
% 39.33/40.18      ( ~ class_Numeral_Onumber(X0)
% 39.33/40.18      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.18      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.18      | c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22128]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4084,plain,
% 39.33/40.18      ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.33/40.18      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) != c_0 ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11573_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22084,plain,
% 39.33/40.18      ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.33/40.18      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) != c_0 ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4084]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4082,plain,
% 39.33/40.18      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 39.33/40.18      | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11574_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22080,plain,
% 39.33/40.18      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 39.33/40.18      | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4082]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22081,plain,
% 39.33/40.18      ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.33/40.18      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_0 ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22080]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4080,plain,
% 39.33/40.18      ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.18      | 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 ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11575_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22076,plain,
% 39.33/40.18      ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.18      | 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 ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4080]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4078,plain,
% 39.33/40.18      ( 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
% 39.33/40.18      | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11576_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22072,plain,
% 39.33/40.18      ( 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
% 39.33/40.18      | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4078]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22073,plain,
% 39.33/40.18      ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.18      | 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 ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22072]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4075,plain,
% 39.33/40.18      ( c_less(c_minus(X0,X1,X2),c_0,X2)
% 39.33/40.18      | ~ c_less(X0,X1,X2)
% 39.33/40.18      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11577_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22066,plain,
% 39.33/40.18      ( c_less(c_minus(X0,X1,X2),c_0,X2)
% 39.33/40.18      | ~ c_less(X0,X1,X2)
% 39.33/40.18      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4075]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22067,plain,
% 39.33/40.18      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.18      | c_less(c_minus(X1,X2,X0),c_0,X0)
% 39.33/40.18      | ~ c_less(X1,X2,X0) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22066]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4072,plain,
% 39.33/40.18      ( c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 39.33/40.18      | ~ c_lessequals(X0,X1,X2)
% 39.33/40.18      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11578_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22060,plain,
% 39.33/40.18      ( c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 39.33/40.18      | ~ c_lessequals(X0,X1,X2)
% 39.33/40.18      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4072]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22061,plain,
% 39.33/40.18      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.18      | c_lessequals(c_minus(X1,X2,X0),c_0,X0)
% 39.33/40.18      | ~ c_lessequals(X1,X2,X0) ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22060]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4070,plain,
% 39.33/40.18      ( X0 = X1 | ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11579_1) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22056,plain,
% 39.33/40.18      ( X0 = X1 | ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4070]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22057,plain,
% 39.33/40.18      ( ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2) | X0 = X1 ),
% 39.33/40.18      inference(rewriting,[status(thm)],[c_22056]) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_4063,plain,
% 39.33/40.18      ( c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 39.33/40.18      | ~ c_lessequals(c_0,X0,X1)
% 39.33/40.18      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.18      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11581_2) ).
% 39.33/40.18  
% 39.33/40.18  cnf(c_22042,plain,
% 39.33/40.18      ( c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 39.33/40.18      | ~ c_lessequals(c_0,X0,X1)
% 39.33/40.18      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.18      inference(copy,[status(esa)],[c_4063]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_22043,plain,
% 39.33/40.19      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.19      | c_lessequals(c_0,c_plus(X1,X1,X0),X0)
% 39.33/40.19      | ~ c_lessequals(c_0,X1,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_22042]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_4060,plain,
% 39.33/40.19      ( c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 39.33/40.19      | ~ c_lessequals(X0,c_0,X1)
% 39.33/40.19      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11582_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_22036,plain,
% 39.33/40.19      ( c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 39.33/40.19      | ~ c_lessequals(X0,c_0,X1)
% 39.33/40.19      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_4060]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_22037,plain,
% 39.33/40.19      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.19      | c_lessequals(c_plus(X1,X1,X0),c_0,X0)
% 39.33/40.19      | ~ c_lessequals(X1,c_0,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_22036]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_4058,plain,
% 39.33/40.19      ( c_less(c_minus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 39.33/40.19      | ~ c_less(c_0,X0,tc_nat) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11583_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_22032,plain,
% 39.33/40.19      ( c_less(c_minus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 39.33/40.19      | ~ c_less(c_0,X0,tc_nat) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_4058]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_22033,plain,
% 39.33/40.19      ( ~ c_less(c_0,X0,tc_nat)
% 39.33/40.19      | c_less(c_minus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_22032]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_4056,plain,
% 39.33/40.19      ( c_minus(c_insert(X0,c_emptyset,X1),c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_insert(X0,c_emptyset,X1)
% 39.33/40.19      | ~ class_Orderings_Oorder(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11584_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_22028,plain,
% 39.33/40.19      ( c_minus(c_insert(X0,c_emptyset,X1),c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_insert(X0,c_emptyset,X1)
% 39.33/40.19      | ~ class_Orderings_Oorder(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_4056]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_22029,plain,
% 39.33/40.19      ( ~ class_Orderings_Oorder(X0)
% 39.33/40.19      | c_minus(c_insert(X1,c_emptyset,X0),c_SetInterval_OlessThan(X1,X0),tc_set(X0)) = c_insert(X1,c_emptyset,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_22028]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_4050,plain,
% 39.33/40.19      ( c_in(c_Main_OInter__iff__1(X0,X1,X2),X1,tc_set(X2))
% 39.33/40.19      | c_in(X0,c_Inter(X1,X2),X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11586_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_22016,plain,
% 39.33/40.19      ( c_in(c_Main_OInter__iff__1(X0,X1,X2),X1,tc_set(X2))
% 39.33/40.19      | c_in(X0,c_Inter(X1,X2),X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_4050]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_4048,plain,
% 39.33/40.19      ( c_in(c_Main_OInterI__1(X0,X1,X2),X1,tc_set(X2))
% 39.33/40.19      | c_in(X0,c_Inter(X1,X2),X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11587_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_22012,plain,
% 39.33/40.19      ( c_in(c_Main_OInterI__1(X0,X1,X2),X1,tc_set(X2))
% 39.33/40.19      | c_in(X0,c_Inter(X1,X2),X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_4048]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_4046,plain,
% 39.33/40.19      ( c_in(X0,c_insert(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11588_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_22008,plain,
% 39.33/40.19      ( c_in(X0,c_insert(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_4046]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_4044,plain,
% 39.33/40.19      ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11589_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_22004,plain,
% 39.33/40.19      ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_4044]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_4042,plain,
% 39.33/40.19      ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11590_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_22000,plain,
% 39.33/40.19      ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_4042]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_4040,plain,
% 39.33/40.19      ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 39.33/40.19      | ~ c_List_Oop_Amem(X0,X2,X3) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11591_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21996,plain,
% 39.33/40.19      ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 39.33/40.19      | ~ c_List_Oop_Amem(X0,X2,X3) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_4040]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_4038,plain,
% 39.33/40.19      ( c_List_Onth(c_List_Oreplicate(X0,X1,X2),X3,X2) = X1
% 39.33/40.19      | ~ c_less(X3,X0,tc_nat) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11606_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21992,plain,
% 39.33/40.19      ( c_List_Onth(c_List_Oreplicate(X0,X1,X2),X3,X2) = X1
% 39.33/40.19      | ~ c_less(X3,X0,tc_nat) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_4038]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21993,plain,
% 39.33/40.19      ( ~ c_less(X0,X1,tc_nat)
% 39.33/40.19      | c_List_Onth(c_List_Oreplicate(X1,X2,X3),X0,X3) = X2 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21992]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_4032,plain,
% 39.33/40.19      ( c_plus(X0,c_minus(X1,X0,tc_nat),tc_nat) = X1
% 39.33/40.19      | ~ c_lessequals(X0,X1,tc_nat) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11611_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21980,plain,
% 39.33/40.19      ( c_plus(X0,c_minus(X1,X0,tc_nat),tc_nat) = X1
% 39.33/40.19      | ~ c_lessequals(X0,X1,tc_nat) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_4032]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21981,plain,
% 39.33/40.19      ( ~ c_lessequals(X0,X1,tc_nat)
% 39.33/40.19      | c_plus(X0,c_minus(X1,X0,tc_nat),tc_nat) = X1 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21980]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_4030,plain,
% 39.33/40.19      ( c_plus(c_minus(X0,X1,tc_nat),X1,tc_nat) = X0
% 39.33/40.19      | ~ c_lessequals(X1,X0,tc_nat) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11612_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21976,plain,
% 39.33/40.19      ( c_plus(c_minus(X0,X1,tc_nat),X1,tc_nat) = X0
% 39.33/40.19      | ~ c_lessequals(X1,X0,tc_nat) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_4030]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21977,plain,
% 39.33/40.19      ( ~ c_lessequals(X0,X1,tc_nat)
% 39.33/40.19      | c_plus(c_minus(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21976]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_4028,plain,
% 39.33/40.19      ( c_minus(X0,c_minus(X0,X1,tc_nat),tc_nat) = X1
% 39.33/40.19      | ~ c_lessequals(X1,X0,tc_nat) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11613_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21972,plain,
% 39.33/40.19      ( c_minus(X0,c_minus(X0,X1,tc_nat),tc_nat) = X1
% 39.33/40.19      | ~ c_lessequals(X1,X0,tc_nat) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_4028]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21973,plain,
% 39.33/40.19      ( ~ c_lessequals(X0,X1,tc_nat)
% 39.33/40.19      | c_minus(X1,c_minus(X1,X0,tc_nat),tc_nat) = X0 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21972]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_4025,plain,
% 39.33/40.19      ( c_times(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1) = c_HOL_Oinverse(c_times(X0,X2,X1),X1)
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.19      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11614_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21966,plain,
% 39.33/40.19      ( c_times(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1) = c_HOL_Oinverse(c_times(X0,X2,X1),X1)
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.19      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_4025]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21967,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.19      | c_times(c_HOL_Oinverse(X1,X0),c_HOL_Oinverse(X2,X0),X0) = c_HOL_Oinverse(c_times(X1,X2,X0),X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21966]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_4022,plain,
% 39.33/40.19      ( c_divide(c_HOL_Oabs(X0,X1),c_HOL_Oabs(X2,X1),X1) = c_HOL_Oabs(c_divide(X0,X2,X1),X1)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.33/40.19      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11615_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21960,plain,
% 39.33/40.19      ( c_divide(c_HOL_Oabs(X0,X1),c_HOL_Oabs(X2,X1),X1) = c_HOL_Oabs(c_divide(X0,X2,X1),X1)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.33/40.19      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_4022]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21961,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__field(X0)
% 39.33/40.19      | c_divide(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_divide(X1,X2,X0),X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21960]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_4018,plain,
% 39.33/40.19      ( X0 = c_0 | ~ c_less(c_0,c_Nat_Opower(c_0,X0,tc_nat),tc_nat) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11617_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21952,plain,
% 39.33/40.19      ( X0 = c_0 | ~ c_less(c_0,c_Nat_Opower(c_0,X0,tc_nat),tc_nat) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_4018]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21953,plain,
% 39.33/40.19      ( ~ c_less(c_0,c_Nat_Opower(c_0,X0,tc_nat),tc_nat) | X0 = c_0 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21952]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_4011,plain,
% 39.33/40.19      ( c_lessequals(X0,X1,X2)
% 39.33/40.19      | ~ c_lessequals(c_SetInterval_OlessThan(X0,X2),c_SetInterval_OlessThan(X1,X2),tc_set(X2))
% 39.33/40.19      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11621_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21938,plain,
% 39.33/40.19      ( c_lessequals(X0,X1,X2)
% 39.33/40.19      | ~ c_lessequals(c_SetInterval_OlessThan(X0,X2),c_SetInterval_OlessThan(X1,X2),tc_set(X2))
% 39.33/40.19      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_4011]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21939,plain,
% 39.33/40.19      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.19      | ~ c_lessequals(c_SetInterval_OlessThan(X1,X0),c_SetInterval_OlessThan(X2,X0),tc_set(X0))
% 39.33/40.19      | c_lessequals(X1,X2,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21938]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_4008,plain,
% 39.33/40.19      ( c_lessequals(X0,X1,X2)
% 39.33/40.19      | ~ c_lessequals(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X0,X2),tc_set(X2))
% 39.33/40.19      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11622_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21932,plain,
% 39.33/40.19      ( c_lessequals(X0,X1,X2)
% 39.33/40.19      | ~ c_lessequals(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X0,X2),tc_set(X2))
% 39.33/40.19      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_4008]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21933,plain,
% 39.33/40.19      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.19      | ~ c_lessequals(c_SetInterval_OgreaterThan(X1,X0),c_SetInterval_OgreaterThan(X2,X0),tc_set(X0))
% 39.33/40.19      | c_lessequals(X2,X1,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21932]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_4005,plain,
% 39.33/40.19      ( c_lessequals(X0,X1,X2)
% 39.33/40.19      | ~ c_lessequals(c_SetInterval_OatMost(X0,X2),c_SetInterval_OatMost(X1,X2),tc_set(X2))
% 39.33/40.19      | ~ class_Orderings_Oorder(X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11623_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21926,plain,
% 39.33/40.19      ( c_lessequals(X0,X1,X2)
% 39.33/40.19      | ~ c_lessequals(c_SetInterval_OatMost(X0,X2),c_SetInterval_OatMost(X1,X2),tc_set(X2))
% 39.33/40.19      | ~ class_Orderings_Oorder(X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_4005]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21927,plain,
% 39.33/40.19      ( ~ class_Orderings_Oorder(X0)
% 39.33/40.19      | ~ c_lessequals(c_SetInterval_OatMost(X1,X0),c_SetInterval_OatMost(X2,X0),tc_set(X0))
% 39.33/40.19      | c_lessequals(X1,X2,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21926]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_4002,plain,
% 39.33/40.19      ( c_lessequals(X0,X1,X2)
% 39.33/40.19      | ~ c_lessequals(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X0,X2),tc_set(X2))
% 39.33/40.19      | ~ class_Orderings_Oorder(X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11624_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21920,plain,
% 39.33/40.19      ( c_lessequals(X0,X1,X2)
% 39.33/40.19      | ~ c_lessequals(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X0,X2),tc_set(X2))
% 39.33/40.19      | ~ class_Orderings_Oorder(X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_4002]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21921,plain,
% 39.33/40.19      ( ~ class_Orderings_Oorder(X0)
% 39.33/40.19      | ~ c_lessequals(c_SetInterval_OatLeast(X1,X0),c_SetInterval_OatLeast(X2,X0),tc_set(X0))
% 39.33/40.19      | c_lessequals(X2,X1,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21920]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_4000,plain,
% 39.33/40.19      ( c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | ~ c_less(X1,X0,tc_nat) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11625_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21916,plain,
% 39.33/40.19      ( c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | ~ c_less(X1,X0,tc_nat) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_4000]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3998,plain,
% 39.33/40.19      ( c_div(c_times(X0,X1,tc_nat),X1,tc_nat) = X0 | ~ c_less(c_0,X1,tc_nat) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11627_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21912,plain,
% 39.33/40.19      ( c_div(c_times(X0,X1,tc_nat),X1,tc_nat) = X0 | ~ c_less(c_0,X1,tc_nat) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3998]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21913,plain,
% 39.33/40.19      ( ~ c_less(c_0,X0,tc_nat) | c_div(c_times(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21912]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3996,plain,
% 39.33/40.19      ( c_div(c_times(X0,X1,tc_nat),X0,tc_nat) = X1 | ~ c_less(c_0,X0,tc_nat) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11628_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21908,plain,
% 39.33/40.19      ( c_div(c_times(X0,X1,tc_nat),X0,tc_nat) = X1 | ~ c_less(c_0,X0,tc_nat) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3996]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21909,plain,
% 39.33/40.19      ( ~ c_less(c_0,X0,tc_nat) | c_div(c_times(X0,X1,tc_nat),X0,tc_nat) = X1 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21908]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3994,plain,
% 39.33/40.19      ( c_append(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil,X1),X1) = X0
% 39.33/40.19      | X0 = c_List_Olist_ONil ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11629_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21904,plain,
% 39.33/40.19      ( c_append(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil,X1),X1) = X0
% 39.33/40.19      | X0 = c_List_Olist_ONil ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3994]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3992,plain,
% 39.33/40.19      ( c_less(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 39.33/40.19      | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11630_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21900,plain,
% 39.33/40.19      ( c_less(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 39.33/40.19      | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3992]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21901,plain,
% 39.33/40.19      ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 39.33/40.19      | c_less(c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),X0,tc_IntDef_Oint) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21900]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3990,plain,
% 39.33/40.19      ( c_less(X0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | ~ c_less(X0,c_0,tc_IntDef_Oint) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11631_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21896,plain,
% 39.33/40.19      ( c_less(X0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | ~ c_less(X0,c_0,tc_IntDef_Oint) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3990]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21897,plain,
% 39.33/40.19      ( ~ c_less(X0,c_0,tc_IntDef_Oint)
% 39.33/40.19      | c_less(X0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21896]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3988,plain,
% 39.33/40.19      ( c_less(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 39.33/40.19      | ~ c_less(c_0,X1,tc_nat) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11632_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21892,plain,
% 39.33/40.19      ( c_less(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 39.33/40.19      | ~ c_less(c_0,X1,tc_nat) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3988]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21893,plain,
% 39.33/40.19      ( ~ c_less(c_0,X0,tc_nat)
% 39.33/40.19      | c_less(c_Divides_Oop_Amod(X1,X0,tc_nat),X0,tc_nat) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21892]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3986,plain,
% 39.33/40.19      ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 39.33/40.19      | ~ c_less(c_0,X1,tc_nat) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11633_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21888,plain,
% 39.33/40.19      ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 39.33/40.19      | ~ c_less(c_0,X1,tc_nat) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3986]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3984,plain,
% 39.33/40.19      ( c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11634_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21884,plain,
% 39.33/40.19      ( c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3984]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3982,plain,
% 39.33/40.19      ( c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | ~ c_lessequals(X0,X1,tc_IntDef_Oint) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11635_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21880,plain,
% 39.33/40.19      ( c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | ~ c_lessequals(X0,X1,tc_IntDef_Oint) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3982]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21881,plain,
% 39.33/40.19      ( ~ c_lessequals(X0,X1,tc_IntDef_Oint)
% 39.33/40.19      | c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21880]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3975,plain,
% 39.33/40.19      ( X0 = X1
% 39.33/40.19      | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 39.33/40.19      | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11637_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21866,plain,
% 39.33/40.19      ( X0 = X1
% 39.33/40.19      | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 39.33/40.19      | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3975]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21867,plain,
% 39.33/40.19      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 39.33/40.19      | c_append(X3,X0,X1) != c_append(X4,X2,X1)
% 39.33/40.19      | X0 = X2 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21866]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3972,plain,
% 39.33/40.19      ( X0 = X1
% 39.33/40.19      | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 39.33/40.19      | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11638_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21860,plain,
% 39.33/40.19      ( X0 = X1
% 39.33/40.19      | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 39.33/40.19      | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3972]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21861,plain,
% 39.33/40.19      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 39.33/40.19      | c_append(X3,X0,X1) != c_append(X4,X2,X1)
% 39.33/40.19      | X3 = X4 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21860]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3969,plain,
% 39.33/40.19      ( X0 = X1
% 39.33/40.19      | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 39.33/40.19      | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11639_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21854,plain,
% 39.33/40.19      ( X0 = X1
% 39.33/40.19      | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 39.33/40.19      | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3969]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21855,plain,
% 39.33/40.19      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 39.33/40.19      | c_append(X0,X3,X1) != c_append(X2,X4,X1)
% 39.33/40.19      | X3 = X4 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21854]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3966,plain,
% 39.33/40.19      ( X0 = X1
% 39.33/40.19      | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 39.33/40.19      | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11640_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21848,plain,
% 39.33/40.19      ( X0 = X1
% 39.33/40.19      | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 39.33/40.19      | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3966]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21849,plain,
% 39.33/40.19      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 39.33/40.19      | c_append(X0,X3,X1) != c_append(X2,X4,X1)
% 39.33/40.19      | X0 = X2 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21848]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3964,plain,
% 39.33/40.19      ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X1,tc_nat) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11641_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21844,plain,
% 39.33/40.19      ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X1,tc_nat) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3964]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3962,plain,
% 39.33/40.19      ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X0,tc_nat) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11642_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21840,plain,
% 39.33/40.19      ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X0,tc_nat) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3962]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3960,plain,
% 39.33/40.19      ( c_lessequals(c_0,c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11643_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21836,plain,
% 39.33/40.19      ( c_lessequals(c_0,c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3960]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3958,plain,
% 39.33/40.19      ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.33/40.19      | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11644_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21832,plain,
% 39.33/40.19      ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 39.33/40.19      | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3958]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3953,plain,
% 39.33/40.19      ( c_less(c_0,X0,tc_nat)
% 39.33/40.19      | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11646_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21822,plain,
% 39.33/40.19      ( c_less(c_0,X0,tc_nat)
% 39.33/40.19      | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3953]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21823,plain,
% 39.33/40.19      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | c_less(c_0,X1,tc_nat) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21822]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3951,plain,
% 39.33/40.19      ( c_less(c_0,X0,tc_nat)
% 39.33/40.19      | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_nat),tc_nat) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11647_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21818,plain,
% 39.33/40.19      ( c_less(c_0,X0,tc_nat)
% 39.33/40.19      | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_nat),tc_nat) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3951]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21819,plain,
% 39.33/40.19      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 39.33/40.19      | c_less(c_0,X1,tc_nat) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21818]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3949,plain,
% 39.33/40.19      ( c_LOrder_Ojoin(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Omeet(X0,X2,X1),X1)
% 39.33/40.19      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11648_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21814,plain,
% 39.33/40.19      ( c_LOrder_Ojoin(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Omeet(X0,X2,X1),X1)
% 39.33/40.19      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3949]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21815,plain,
% 39.33/40.19      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.19      | c_LOrder_Ojoin(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_LOrder_Omeet(X1,X2,X0),X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21814]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3947,plain,
% 39.33/40.19      ( c_LOrder_Omeet(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Ojoin(X0,X2,X1),X1)
% 39.33/40.19      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11649_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21810,plain,
% 39.33/40.19      ( c_LOrder_Omeet(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Ojoin(X0,X2,X1),X1)
% 39.33/40.19      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3947]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21811,plain,
% 39.33/40.19      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.19      | c_LOrder_Omeet(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_LOrder_Ojoin(X1,X2,X0),X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21810]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3945,plain,
% 39.33/40.19      ( c_plus(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_plus(X0,X2,X1),X1)
% 39.33/40.19      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11650_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21806,plain,
% 39.33/40.19      ( c_plus(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_plus(X0,X2,X1),X1)
% 39.33/40.19      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3945]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21807,plain,
% 39.33/40.19      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.19      | c_plus(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_plus(X1,X2,X0),X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21806]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3943,plain,
% 39.33/40.19      ( c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
% 39.33/40.19      | ~ c_in(X0,X1,tc_prod(X2,X2)) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11651_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21802,plain,
% 39.33/40.19      ( c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
% 39.33/40.19      | ~ c_in(X0,X1,tc_prod(X2,X2)) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3943]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3941,plain,
% 39.33/40.19      ( c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 39.33/40.19      | ~ c_lessequals(X2,X0,tc_set(X1)) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11654_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21798,plain,
% 39.33/40.19      ( c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 39.33/40.19      | ~ c_lessequals(X2,X0,tc_set(X1)) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3941]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3939,plain,
% 39.33/40.19      ( ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2) | ~ c_in(X0,X1,X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11655_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21794,plain,
% 39.33/40.19      ( ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2) | ~ c_in(X0,X1,X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3939]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3937,plain,
% 39.33/40.19      ( 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)
% 39.33/40.19      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11656_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21790,plain,
% 39.33/40.19      ( 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)
% 39.33/40.19      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3937]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21791,plain,
% 39.33/40.19      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.19      | 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) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21790]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3935,plain,
% 39.33/40.19      ( 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)
% 39.33/40.19      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11658_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21786,plain,
% 39.33/40.19      ( 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)
% 39.33/40.19      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3935]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21787,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.33/40.19      | 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) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21786]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3933,plain,
% 39.33/40.19      ( 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)
% 39.33/40.19      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11659_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21782,plain,
% 39.33/40.19      ( 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)
% 39.33/40.19      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3933]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21783,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.33/40.19      | 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) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21782]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3931,plain,
% 39.33/40.19      ( 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)
% 39.33/40.19      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11660_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21778,plain,
% 39.33/40.19      ( 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)
% 39.33/40.19      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3931]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21779,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.33/40.19      | 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) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21778]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3929,plain,
% 39.33/40.19      ( 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)
% 39.33/40.19      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11661_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21774,plain,
% 39.33/40.19      ( 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)
% 39.33/40.19      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3929]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21775,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.33/40.19      | 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) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21774]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3927,plain,
% 39.33/40.19      ( 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)
% 39.33/40.19      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11662_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21770,plain,
% 39.33/40.19      ( 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)
% 39.33/40.19      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3927]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21771,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.33/40.19      | 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) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21770]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3924,plain,
% 39.33/40.19      ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.33/40.19      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11663_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21764,plain,
% 39.33/40.19      ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 39.33/40.19      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3924]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3917,plain,
% 39.33/40.19      ( c_divide(X0,c_times(X1,X0,X2),X2) = c_divide(c_1,X1,X2)
% 39.33/40.19      | X0 = c_0
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.19      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11665_3) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21750,plain,
% 39.33/40.19      ( c_divide(X0,c_times(X1,X0,X2),X2) = c_divide(c_1,X1,X2)
% 39.33/40.19      | X0 = c_0
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.19      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3917]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21751,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.19      | c_divide(X1,c_times(X2,X1,X0),X0) = c_divide(c_1,X2,X0)
% 39.33/40.19      | X1 = c_0 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21750]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3913,plain,
% 39.33/40.19      ( c_divide(X0,c_times(X0,X1,X2),X2) = c_divide(c_1,X1,X2)
% 39.33/40.19      | X0 = c_0
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.19      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11666_3) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21742,plain,
% 39.33/40.19      ( c_divide(X0,c_times(X0,X1,X2),X2) = c_divide(c_1,X1,X2)
% 39.33/40.19      | X0 = c_0
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.19      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3913]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21743,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.19      | c_divide(X1,c_times(X1,X2,X0),X0) = c_divide(c_1,X2,X0)
% 39.33/40.19      | X1 = c_0 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21742]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3910,plain,
% 39.33/40.19      ( c_less(X0,X1,X2)
% 39.33/40.19      | ~ c_less(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11667_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21736,plain,
% 39.33/40.19      ( c_less(X0,X1,X2)
% 39.33/40.19      | ~ c_less(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3910]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21737,plain,
% 39.33/40.19      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.19      | ~ c_less(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 39.33/40.19      | c_less(X2,X1,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21736]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3907,plain,
% 39.33/40.19      ( c_lessequals(X0,X1,X2)
% 39.33/40.19      | ~ c_lessequals(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11668_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21730,plain,
% 39.33/40.19      ( c_lessequals(X0,X1,X2)
% 39.33/40.19      | ~ c_lessequals(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3907]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21731,plain,
% 39.33/40.19      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.19      | ~ c_lessequals(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 39.33/40.19      | c_lessequals(X2,X1,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21730]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3905,plain,
% 39.33/40.19      ( 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)
% 39.33/40.19      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11670_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21726,plain,
% 39.33/40.19      ( 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)
% 39.33/40.19      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3905]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21727,plain,
% 39.33/40.19      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | 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) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21726]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3898,plain,
% 39.33/40.19      ( c_less(X0,X1,tc_nat)
% 39.33/40.19      | ~ c_less(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11672_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21712,plain,
% 39.33/40.19      ( c_less(X0,X1,tc_nat)
% 39.33/40.19      | ~ c_less(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3898]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21713,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.19      | ~ c_less(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 39.33/40.19      | c_less(X1,X2,tc_nat) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21712]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3895,plain,
% 39.33/40.19      ( c_lessequals(X0,X1,tc_nat)
% 39.33/40.19      | ~ c_lessequals(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11673_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21706,plain,
% 39.33/40.19      ( c_lessequals(X0,X1,tc_nat)
% 39.33/40.19      | ~ c_lessequals(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3895]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21707,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.19      | ~ c_lessequals(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 39.33/40.19      | c_lessequals(X1,X2,tc_nat) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21706]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3892,plain,
% 39.33/40.19      ( c_less(X0,X1,tc_IntDef_Oint)
% 39.33/40.19      | ~ c_less(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11674_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21700,plain,
% 39.33/40.19      ( c_less(X0,X1,tc_IntDef_Oint)
% 39.33/40.19      | ~ c_less(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3892]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21701,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.19      | ~ c_less(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 39.33/40.19      | c_less(X1,X2,tc_IntDef_Oint) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21700]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3889,plain,
% 39.33/40.19      ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 39.33/40.19      | ~ c_lessequals(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11675_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21694,plain,
% 39.33/40.19      ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 39.33/40.19      | ~ c_lessequals(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3889]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21695,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.19      | ~ c_lessequals(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 39.33/40.19      | c_lessequals(X1,X2,tc_IntDef_Oint) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21694]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3879,plain,
% 39.33/40.19      ( 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)
% 39.33/40.19      | c_Numeral_Onumber__of(X0,X1) != c_1
% 39.33/40.19      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11682_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21674,plain,
% 39.33/40.19      ( 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)
% 39.33/40.19      | c_Numeral_Onumber__of(X0,X1) != c_1
% 39.33/40.19      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3879]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21675,plain,
% 39.33/40.19      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.19      | 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)
% 39.33/40.19      | c_Numeral_Onumber__of(X1,X0) != c_1 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21674]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3869,plain,
% 39.33/40.19      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11687_3) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21654,plain,
% 39.33/40.19      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3869]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3867,plain,
% 39.33/40.19      ( c_Orderings_Omax(X0,c_Orderings_Omax(X0,X1,X2),X2) = c_Orderings_Omax(X0,X1,X2)
% 39.33/40.19      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11688_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21650,plain,
% 39.33/40.19      ( c_Orderings_Omax(X0,c_Orderings_Omax(X0,X1,X2),X2) = c_Orderings_Omax(X0,X1,X2)
% 39.33/40.19      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3867]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21651,plain,
% 39.33/40.19      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.19      | c_Orderings_Omax(X1,c_Orderings_Omax(X1,X2,X0),X0) = c_Orderings_Omax(X1,X2,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21650]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3865,plain,
% 39.33/40.19      ( c_Orderings_Omin(X0,c_Orderings_Omin(X0,X1,X2),X2) = c_Orderings_Omin(X0,X1,X2)
% 39.33/40.19      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11689_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21646,plain,
% 39.33/40.19      ( c_Orderings_Omin(X0,c_Orderings_Omin(X0,X1,X2),X2) = c_Orderings_Omin(X0,X1,X2)
% 39.33/40.19      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3865]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21647,plain,
% 39.33/40.19      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.19      | c_Orderings_Omin(X1,c_Orderings_Omin(X1,X2,X0),X0) = c_Orderings_Omin(X1,X2,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21646]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3863,plain,
% 39.33/40.19      ( c_lessequals(X0,X1,tc_set(X2))
% 39.33/40.19      | c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11690_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21642,plain,
% 39.33/40.19      ( c_lessequals(X0,X1,tc_set(X2))
% 39.33/40.19      | c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3863]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3861,plain,
% 39.33/40.19      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 39.33/40.19      | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11694_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21638,plain,
% 39.33/40.19      ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 39.33/40.19      | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3861]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3854,plain,
% 39.33/40.19      ( c_Numeral_Onumber__of(X0,X1) = c_Numeral_Onumber__of(X2,X1)
% 39.33/40.19      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 39.33/40.19      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11697_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21624,plain,
% 39.33/40.19      ( c_Numeral_Onumber__of(X0,X1) = c_Numeral_Onumber__of(X2,X1)
% 39.33/40.19      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 39.33/40.19      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3854]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21625,plain,
% 39.33/40.19      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.19      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 39.33/40.19      | c_Numeral_Onumber__of(X1,X0) = c_Numeral_Onumber__of(X2,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21624]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3846,plain,
% 39.33/40.19      ( 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)
% 39.33/40.19      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11702_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21608,plain,
% 39.33/40.19      ( 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)
% 39.33/40.19      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3846]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21609,plain,
% 39.33/40.19      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.19      | 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) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21608]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3842,plain,
% 39.33/40.19      ( c_less(c_uminus(c_1,X0),X1,X0)
% 39.33/40.19      | ~ c_less(c_uminus(X1,X0),c_1,X0)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.19      | ~ class_HOL_Oone(X0) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11703_3) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21600,plain,
% 39.33/40.19      ( c_less(c_uminus(c_1,X0),X1,X0)
% 39.33/40.19      | ~ c_less(c_uminus(X1,X0),c_1,X0)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.19      | ~ class_HOL_Oone(X0) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3842]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21601,plain,
% 39.33/40.19      ( ~ class_HOL_Oone(X0)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.19      | c_less(c_uminus(c_1,X0),X1,X0)
% 39.33/40.19      | ~ c_less(c_uminus(X1,X0),c_1,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21600]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3838,plain,
% 39.33/40.19      ( c_lessequals(c_uminus(c_1,X0),X1,X0)
% 39.33/40.19      | ~ c_lessequals(c_uminus(X1,X0),c_1,X0)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.19      | ~ class_HOL_Oone(X0) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11704_3) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21592,plain,
% 39.33/40.19      ( c_lessequals(c_uminus(c_1,X0),X1,X0)
% 39.33/40.19      | ~ c_lessequals(c_uminus(X1,X0),c_1,X0)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.19      | ~ class_HOL_Oone(X0) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3838]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21593,plain,
% 39.33/40.19      ( ~ class_HOL_Oone(X0)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.19      | c_lessequals(c_uminus(c_1,X0),X1,X0)
% 39.33/40.19      | ~ c_lessequals(c_uminus(X1,X0),c_1,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21592]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3834,plain,
% 39.33/40.19      ( c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0)
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.19      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.19      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11705_3) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21584,plain,
% 39.33/40.19      ( c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0)
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.19      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.19      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3834]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21585,plain,
% 39.33/40.19      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.19      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.19      | c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21584]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3830,plain,
% 39.33/40.19      ( c_less(X0,c_uminus(c_1,X1),X1)
% 39.33/40.19      | ~ c_less(c_1,c_uminus(X0,X1),X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.33/40.19      | ~ class_HOL_Oone(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11706_3) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21576,plain,
% 39.33/40.19      ( c_less(X0,c_uminus(c_1,X1),X1)
% 39.33/40.19      | ~ c_less(c_1,c_uminus(X0,X1),X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.33/40.19      | ~ class_HOL_Oone(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3830]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21577,plain,
% 39.33/40.19      ( ~ class_HOL_Oone(X0)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.19      | ~ c_less(c_1,c_uminus(X1,X0),X0)
% 39.33/40.19      | c_less(X1,c_uminus(c_1,X0),X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21576]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3826,plain,
% 39.33/40.19      ( c_lessequals(X0,c_uminus(c_1,X1),X1)
% 39.33/40.19      | ~ c_lessequals(c_1,c_uminus(X0,X1),X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.33/40.19      | ~ class_HOL_Oone(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11707_3) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21568,plain,
% 39.33/40.19      ( c_lessequals(X0,c_uminus(c_1,X1),X1)
% 39.33/40.19      | ~ c_lessequals(c_1,c_uminus(X0,X1),X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.33/40.19      | ~ class_HOL_Oone(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3826]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21569,plain,
% 39.33/40.19      ( ~ class_HOL_Oone(X0)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.19      | ~ c_lessequals(c_1,c_uminus(X1,X0),X0)
% 39.33/40.19      | c_lessequals(X1,c_uminus(c_1,X0),X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21568]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3804,plain,
% 39.33/40.19      ( c_less(c_uminus(X0,X1),c_1,X1)
% 39.33/40.19      | ~ c_less(c_uminus(c_1,X1),X0,X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.33/40.19      | ~ class_HOL_Oone(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11714_3) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21524,plain,
% 39.33/40.19      ( c_less(c_uminus(X0,X1),c_1,X1)
% 39.33/40.19      | ~ c_less(c_uminus(c_1,X1),X0,X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.33/40.19      | ~ class_HOL_Oone(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3804]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21525,plain,
% 39.33/40.19      ( ~ class_HOL_Oone(X0)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.19      | ~ c_less(c_uminus(c_1,X0),X1,X0)
% 39.33/40.19      | c_less(c_uminus(X1,X0),c_1,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21524]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3800,plain,
% 39.33/40.19      ( c_lessequals(c_uminus(X0,X1),c_1,X1)
% 39.33/40.19      | ~ c_lessequals(c_uminus(c_1,X1),X0,X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.33/40.19      | ~ class_HOL_Oone(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11715_3) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21516,plain,
% 39.33/40.19      ( c_lessequals(c_uminus(X0,X1),c_1,X1)
% 39.33/40.19      | ~ c_lessequals(c_uminus(c_1,X1),X0,X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.33/40.19      | ~ class_HOL_Oone(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3800]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21517,plain,
% 39.33/40.19      ( ~ class_HOL_Oone(X0)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.19      | ~ c_lessequals(c_uminus(c_1,X0),X1,X0)
% 39.33/40.19      | c_lessequals(c_uminus(X1,X0),c_1,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21516]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3796,plain,
% 39.33/40.19      ( c_less(c_1,c_uminus(X0,X1),X1)
% 39.33/40.19      | ~ c_less(X0,c_uminus(c_1,X1),X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.33/40.19      | ~ class_HOL_Oone(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11716_3) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21508,plain,
% 39.33/40.19      ( c_less(c_1,c_uminus(X0,X1),X1)
% 39.33/40.19      | ~ c_less(X0,c_uminus(c_1,X1),X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.33/40.19      | ~ class_HOL_Oone(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3796]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21509,plain,
% 39.33/40.19      ( ~ class_HOL_Oone(X0)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.19      | c_less(c_1,c_uminus(X1,X0),X0)
% 39.33/40.19      | ~ c_less(X1,c_uminus(c_1,X0),X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21508]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3792,plain,
% 39.33/40.19      ( c_lessequals(c_1,c_uminus(X0,X1),X1)
% 39.33/40.19      | ~ c_lessequals(X0,c_uminus(c_1,X1),X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.33/40.19      | ~ class_HOL_Oone(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11717_3) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21500,plain,
% 39.33/40.19      ( c_lessequals(c_1,c_uminus(X0,X1),X1)
% 39.33/40.19      | ~ c_lessequals(X0,c_uminus(c_1,X1),X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 39.33/40.19      | ~ class_HOL_Oone(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3792]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21501,plain,
% 39.33/40.19      ( ~ class_HOL_Oone(X0)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.19      | c_lessequals(c_1,c_uminus(X1,X0),X0)
% 39.33/40.19      | ~ c_lessequals(X1,c_uminus(c_1,X0),X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21500]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3789,plain,
% 39.33/40.19      ( c_divide(X0,c_uminus(X1,X2),X2) = c_uminus(c_divide(X0,X1,X2),X2)
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.19      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11723_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21494,plain,
% 39.33/40.19      ( c_divide(X0,c_uminus(X1,X2),X2) = c_uminus(c_divide(X0,X1,X2),X2)
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.19      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3789]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21495,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.19      | c_divide(X1,c_uminus(X2,X0),X0) = c_uminus(c_divide(X1,X2,X0),X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21494]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3787,plain,
% 39.33/40.19      ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.33/40.19      | ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11729_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21490,plain,
% 39.33/40.19      ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.33/40.19      | ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3787]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21491,plain,
% 39.33/40.19      ( ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 39.33/40.19      | c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21490]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3781,plain,
% 39.33/40.19      ( c_List_Osublist(c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X2,X1) = c_List_Olist_ONil
% 39.33/40.19      | c_in(c_0,X2,tc_nat) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11733_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21478,plain,
% 39.33/40.19      ( c_List_Osublist(c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X2,X1) = c_List_Olist_ONil
% 39.33/40.19      | c_in(c_0,X2,tc_nat) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3781]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21479,plain,
% 39.33/40.19      ( c_in(c_0,X0,tc_nat)
% 39.33/40.19      | c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X0,X2) = c_List_Olist_ONil ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21478]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3780,plain,
% 39.33/40.19      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 39.33/40.19      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11740_0) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21476,plain,
% 39.33/40.19      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 39.33/40.19      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3780]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3778,plain,
% 39.33/40.19      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.33/40.19      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 39.33/40.19      | ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11740_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21472,plain,
% 39.33/40.19      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.33/40.19      | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 39.33/40.19      | ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3778]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21473,plain,
% 39.33/40.19      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.33/40.19      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21472]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3777,plain,
% 39.33/40.19      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 39.33/40.19      | c_Parity_Oeven(X1,tc_nat)
% 39.33/40.19      | c_Parity_Oeven(X0,tc_nat) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11741_0) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21470,plain,
% 39.33/40.19      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 39.33/40.19      | c_Parity_Oeven(X1,tc_nat)
% 39.33/40.19      | c_Parity_Oeven(X0,tc_nat) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3777]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3775,plain,
% 39.33/40.19      ( c_Parity_Oeven(X0,tc_nat)
% 39.33/40.19      | c_Parity_Oeven(X1,tc_nat)
% 39.33/40.19      | ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11741_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21466,plain,
% 39.33/40.19      ( c_Parity_Oeven(X0,tc_nat)
% 39.33/40.19      | c_Parity_Oeven(X1,tc_nat)
% 39.33/40.19      | ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3775]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21467,plain,
% 39.33/40.19      ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 39.33/40.19      | c_Parity_Oeven(X0,tc_nat)
% 39.33/40.19      | c_Parity_Oeven(X1,tc_nat) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21466]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3773,plain,
% 39.33/40.19      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | 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)
% 39.33/40.19      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11742_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21462,plain,
% 39.33/40.19      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | 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)
% 39.33/40.19      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3773]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21463,plain,
% 39.33/40.19      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | 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) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21462]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3766,plain,
% 39.33/40.19      ( c_times(X0,c_uminus(X1,X2),X2) = c_uminus(c_times(X0,X1,X2),X2)
% 39.33/40.19      | ~ class_Ring__and__Field_Oring(X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11744_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21448,plain,
% 39.33/40.19      ( c_times(X0,c_uminus(X1,X2),X2) = c_uminus(c_times(X0,X1,X2),X2)
% 39.33/40.19      | ~ class_Ring__and__Field_Oring(X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3766]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21449,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Oring(X0)
% 39.33/40.19      | c_times(X1,c_uminus(X2,X0),X0) = c_uminus(c_times(X1,X2,X0),X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21448]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3764,plain,
% 39.33/40.19      ( c_times(c_uminus(X0,X1),X2,X1) = c_uminus(c_times(X0,X2,X1),X1)
% 39.33/40.19      | ~ class_Ring__and__Field_Oring(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11745_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21444,plain,
% 39.33/40.19      ( c_times(c_uminus(X0,X1),X2,X1) = c_uminus(c_times(X0,X2,X1),X1)
% 39.33/40.19      | ~ class_Ring__and__Field_Oring(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3764]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21445,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Oring(X0)
% 39.33/40.19      | c_times(c_uminus(X1,X0),X2,X0) = c_uminus(c_times(X1,X2,X0),X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21444]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3762,plain,
% 39.33/40.19      ( c_divide(c_uminus(X0,X1),X2,X1) = c_uminus(c_divide(X0,X2,X1),X1)
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11746_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21440,plain,
% 39.33/40.19      ( c_divide(c_uminus(X0,X1),X2,X1) = c_uminus(c_divide(X0,X2,X1),X1)
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3762]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21441,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.19      | c_divide(c_uminus(X1,X0),X2,X0) = c_uminus(c_divide(X1,X2,X0),X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21440]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3760,plain,
% 39.33/40.19      ( 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
% 39.33/40.19      | ~ class_Power_Orecpower(X0) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11747_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21436,plain,
% 39.33/40.19      ( 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
% 39.33/40.19      | ~ class_Power_Orecpower(X0) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3760]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21437,plain,
% 39.33/40.19      ( ~ class_Power_Orecpower(X0)
% 39.33/40.19      | 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 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21436]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3758,plain,
% 39.33/40.19      ( 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
% 39.33/40.19      | ~ class_Power_Orecpower(X0) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11748_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21432,plain,
% 39.33/40.19      ( 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
% 39.33/40.19      | ~ class_Power_Orecpower(X0) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3758]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21433,plain,
% 39.33/40.19      ( ~ class_Power_Orecpower(X0)
% 39.33/40.19      | 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 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21432]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3751,plain,
% 39.33/40.19      ( c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X2,X1),tc_set(X1))
% 39.33/40.19      | ~ c_lessequals(X0,X2,X1)
% 39.33/40.19      | ~ class_Orderings_Olinorder(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11750_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21418,plain,
% 39.33/40.19      ( c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X2,X1),tc_set(X1))
% 39.33/40.19      | ~ c_lessequals(X0,X2,X1)
% 39.33/40.19      | ~ class_Orderings_Olinorder(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3751]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21419,plain,
% 39.33/40.19      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.19      | c_lessequals(c_SetInterval_OlessThan(X1,X0),c_SetInterval_OlessThan(X2,X0),tc_set(X0))
% 39.33/40.19      | ~ c_lessequals(X1,X2,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21418]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3748,plain,
% 39.33/40.19      ( c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X2,X1),tc_set(X1))
% 39.33/40.19      | ~ c_lessequals(X2,X0,X1)
% 39.33/40.19      | ~ class_Orderings_Olinorder(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11751_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21412,plain,
% 39.33/40.19      ( c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X2,X1),tc_set(X1))
% 39.33/40.19      | ~ c_lessequals(X2,X0,X1)
% 39.33/40.19      | ~ class_Orderings_Olinorder(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3748]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21413,plain,
% 39.33/40.19      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.19      | c_lessequals(c_SetInterval_OgreaterThan(X1,X0),c_SetInterval_OgreaterThan(X2,X0),tc_set(X0))
% 39.33/40.19      | ~ c_lessequals(X2,X1,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21412]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3745,plain,
% 39.33/40.19      ( c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X2,X1),tc_set(X1))
% 39.33/40.19      | ~ c_lessequals(X0,X2,X1)
% 39.33/40.19      | ~ class_Orderings_Oorder(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11752_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21406,plain,
% 39.33/40.19      ( c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X2,X1),tc_set(X1))
% 39.33/40.19      | ~ c_lessequals(X0,X2,X1)
% 39.33/40.19      | ~ class_Orderings_Oorder(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3745]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21407,plain,
% 39.33/40.19      ( ~ class_Orderings_Oorder(X0)
% 39.33/40.19      | c_lessequals(c_SetInterval_OatMost(X1,X0),c_SetInterval_OatMost(X2,X0),tc_set(X0))
% 39.33/40.19      | ~ c_lessequals(X1,X2,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21406]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3742,plain,
% 39.33/40.19      ( c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X2,X1),tc_set(X1))
% 39.33/40.19      | ~ c_lessequals(X2,X0,X1)
% 39.33/40.19      | ~ class_Orderings_Oorder(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11753_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21400,plain,
% 39.33/40.19      ( c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X2,X1),tc_set(X1))
% 39.33/40.19      | ~ c_lessequals(X2,X0,X1)
% 39.33/40.19      | ~ class_Orderings_Oorder(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3742]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21401,plain,
% 39.33/40.19      ( ~ class_Orderings_Oorder(X0)
% 39.33/40.19      | c_lessequals(c_SetInterval_OatLeast(X1,X0),c_SetInterval_OatLeast(X2,X0),tc_set(X0))
% 39.33/40.19      | ~ c_lessequals(X2,X1,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21400]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3740,plain,
% 39.33/40.19      ( c_List_Onth(c_List_Olist_OCons(X0,X1,X2),c_Numeral_Onumber__of(X3,tc_nat),X2) = X0
% 39.33/40.19      | c_Numeral_Onumber__of(X3,tc_nat) != c_0 ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11754_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21396,plain,
% 39.33/40.19      ( c_List_Onth(c_List_Olist_OCons(X0,X1,X2),c_Numeral_Onumber__of(X3,tc_nat),X2) = X0
% 39.33/40.19      | c_Numeral_Onumber__of(X3,tc_nat) != c_0 ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3740]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21397,plain,
% 39.33/40.19      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 39.33/40.19      | c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Numeral_Onumber__of(X0,tc_nat),X3) = X1 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21396]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3738,plain,
% 39.33/40.19      ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 39.33/40.19      | ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11755_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21392,plain,
% 39.33/40.19      ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 39.33/40.19      | ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3738]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21393,plain,
% 39.33/40.19      ( ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 39.33/40.19      | c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21392]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3736,plain,
% 39.33/40.19      ( c_List_Odistinct(X0,X1)
% 39.33/40.19      | ~ c_List_Odistinct(c_List_Orotate(X2,X0,X1),X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11756_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21388,plain,
% 39.33/40.19      ( c_List_Odistinct(X0,X1)
% 39.33/40.19      | ~ c_List_Odistinct(c_List_Orotate(X2,X0,X1),X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3736]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21389,plain,
% 39.33/40.19      ( ~ c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 39.33/40.19      | c_List_Odistinct(X1,X2) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21388]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3734,plain,
% 39.33/40.19      ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X2,X0,X1),X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11757_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21384,plain,
% 39.33/40.19      ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X2,X0,X1),X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3734]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21385,plain,
% 39.33/40.19      ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2) | c_List_Odistinct(X1,X2) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21384]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3732,plain,
% 39.33/40.19      ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11758_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21380,plain,
% 39.33/40.19      ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3732]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21381,plain,
% 39.33/40.19      ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2) | c_List_Odistinct(X0,X2) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21380]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3730,plain,
% 39.33/40.19      ( c_List_Odistinct(X0,X1)
% 39.33/40.19      | ~ c_List_Odistinct(c_List_Olist_OCons(X2,X0,X1),X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11759_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21376,plain,
% 39.33/40.19      ( c_List_Odistinct(X0,X1)
% 39.33/40.19      | ~ c_List_Odistinct(c_List_Olist_OCons(X2,X0,X1),X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3730]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21377,plain,
% 39.33/40.19      ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 39.33/40.19      | c_List_Odistinct(X1,X2) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21376]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3728,plain,
% 39.33/40.19      ( c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil
% 39.33/40.19      | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11760_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21372,plain,
% 39.33/40.19      ( c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil
% 39.33/40.19      | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3728]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21373,plain,
% 39.33/40.19      ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 39.33/40.19      | c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21372]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3722,plain,
% 39.33/40.19      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | 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)
% 39.33/40.19      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11762_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21360,plain,
% 39.33/40.19      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | 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)
% 39.33/40.19      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3722]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21361,plain,
% 39.33/40.19      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | 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) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21360]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3719,plain,
% 39.33/40.19      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | 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)
% 39.33/40.19      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11763_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21354,plain,
% 39.33/40.19      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | 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)
% 39.33/40.19      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3719]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21355,plain,
% 39.33/40.19      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | 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) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21354]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3716,plain,
% 39.33/40.19      ( c_append(c_List_Otl(X0,X1),X2,X1) = c_List_Otl(c_append(X0,X2,X1),X1)
% 39.33/40.19      | X0 = c_List_Olist_ONil ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11764_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21348,plain,
% 39.33/40.19      ( c_append(c_List_Otl(X0,X1),X2,X1) = c_List_Otl(c_append(X0,X2,X1),X1)
% 39.33/40.19      | X0 = c_List_Olist_ONil ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3716]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3714,plain,
% 39.33/40.19      ( c_List_Olist_OCons(X0,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X0,X1,X2),X2)
% 39.33/40.19      | X1 = c_List_Olist_ONil ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11765_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21344,plain,
% 39.33/40.19      ( c_List_Olist_OCons(X0,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X0,X1,X2),X2)
% 39.33/40.19      | X1 = c_List_Olist_ONil ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3714]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3712,plain,
% 39.33/40.19      ( X0 = c_0
% 39.33/40.19      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11766_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21340,plain,
% 39.33/40.19      ( X0 = c_0
% 39.33/40.19      | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3712]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21341,plain,
% 39.33/40.19      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | X0 = c_0 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21340]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3709,plain,
% 39.33/40.19      ( c_lessequals(c_OrderedGroup_Opprt(X0,X1),c_OrderedGroup_Opprt(X2,X1),X1)
% 39.33/40.19      | ~ c_lessequals(X0,X2,X1)
% 39.33/40.19      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11769_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21334,plain,
% 39.33/40.19      ( c_lessequals(c_OrderedGroup_Opprt(X0,X1),c_OrderedGroup_Opprt(X2,X1),X1)
% 39.33/40.19      | ~ c_lessequals(X0,X2,X1)
% 39.33/40.19      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3709]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21335,plain,
% 39.33/40.19      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.19      | c_lessequals(c_OrderedGroup_Opprt(X1,X0),c_OrderedGroup_Opprt(X2,X0),X0)
% 39.33/40.19      | ~ c_lessequals(X1,X2,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21334]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3706,plain,
% 39.33/40.19      ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_OrderedGroup_Onprt(X2,X1),X1)
% 39.33/40.19      | ~ c_lessequals(X0,X2,X1)
% 39.33/40.19      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11770_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21328,plain,
% 39.33/40.19      ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_OrderedGroup_Onprt(X2,X1),X1)
% 39.33/40.19      | ~ c_lessequals(X0,X2,X1)
% 39.33/40.19      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3706]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21329,plain,
% 39.33/40.19      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.19      | c_lessequals(c_OrderedGroup_Onprt(X1,X0),c_OrderedGroup_Onprt(X2,X0),X0)
% 39.33/40.19      | ~ c_lessequals(X1,X2,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21328]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3703,plain,
% 39.33/40.19      ( c_less(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 39.33/40.19      | ~ c_less(X2,X0,X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11771_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21322,plain,
% 39.33/40.19      ( c_less(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 39.33/40.19      | ~ c_less(X2,X0,X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3703]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21323,plain,
% 39.33/40.19      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.19      | c_less(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 39.33/40.19      | ~ c_less(X2,X1,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21322]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3700,plain,
% 39.33/40.19      ( c_lessequals(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 39.33/40.19      | ~ c_lessequals(X2,X0,X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11772_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21316,plain,
% 39.33/40.19      ( c_lessequals(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 39.33/40.19      | ~ c_lessequals(X2,X0,X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3700]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21317,plain,
% 39.33/40.19      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.19      | c_lessequals(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 39.33/40.19      | ~ c_lessequals(X2,X1,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21316]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3694,plain,
% 39.33/40.19      ( c_List_Otake(X0,X1,X2) = X1
% 39.33/40.19      | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11774_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21304,plain,
% 39.33/40.19      ( c_List_Otake(X0,X1,X2) = X1
% 39.33/40.19      | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3694]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21305,plain,
% 39.33/40.19      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 39.33/40.19      | c_List_Otake(X2,X0,X1) = X0 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21304]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3692,plain,
% 39.33/40.19      ( c_List_Orotate(X0,X1,X2) = X1
% 39.33/40.19      | c_Divides_Oop_Amod(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_0 ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11775_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21300,plain,
% 39.33/40.19      ( c_List_Orotate(X0,X1,X2) = X1
% 39.33/40.19      | c_Divides_Oop_Amod(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_0 ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3692]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21301,plain,
% 39.33/40.19      ( c_Divides_Oop_Amod(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_0
% 39.33/40.19      | c_List_Orotate(X0,X1,X2) = X1 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21300]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3690,plain,
% 39.33/40.19      ( c_List_Odrop(X0,X1,X2) = c_List_Olist_ONil
% 39.33/40.19      | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11776_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21296,plain,
% 39.33/40.19      ( c_List_Odrop(X0,X1,X2) = c_List_Olist_ONil
% 39.33/40.19      | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3690]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21297,plain,
% 39.33/40.19      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 39.33/40.19      | c_List_Odrop(X2,X0,X1) = c_List_Olist_ONil ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21296]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3683,plain,
% 39.33/40.19      ( c_less(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 39.33/40.19      | ~ c_less(X0,X2,tc_nat)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11779_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21282,plain,
% 39.33/40.19      ( c_less(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 39.33/40.19      | ~ c_less(X0,X2,tc_nat)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3683]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21283,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.19      | c_less(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 39.33/40.19      | ~ c_less(X1,X2,tc_nat) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21282]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3680,plain,
% 39.33/40.19      ( c_lessequals(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 39.33/40.19      | ~ c_lessequals(X0,X2,tc_nat)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11780_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21276,plain,
% 39.33/40.19      ( c_lessequals(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 39.33/40.19      | ~ c_lessequals(X0,X2,tc_nat)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3680]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21277,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.19      | c_lessequals(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 39.33/40.19      | ~ c_lessequals(X1,X2,tc_nat) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21276]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3677,plain,
% 39.33/40.19      ( c_less(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 39.33/40.19      | ~ c_less(X0,X2,tc_IntDef_Oint)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11781_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21270,plain,
% 39.33/40.19      ( c_less(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 39.33/40.19      | ~ c_less(X0,X2,tc_IntDef_Oint)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3677]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21271,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.19      | c_less(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 39.33/40.19      | ~ c_less(X1,X2,tc_IntDef_Oint) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21270]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3674,plain,
% 39.33/40.19      ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 39.33/40.19      | ~ c_lessequals(X0,X2,tc_IntDef_Oint)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11782_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21264,plain,
% 39.33/40.19      ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 39.33/40.19      | ~ c_lessequals(X0,X2,tc_IntDef_Oint)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3674]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21265,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.19      | c_lessequals(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 39.33/40.19      | ~ c_lessequals(X1,X2,tc_IntDef_Oint) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21264]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3672,plain,
% 39.33/40.19      ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_in(X0,c_Pow(X1,X2),tc_set(X2)) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11783_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21260,plain,
% 39.33/40.19      ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_in(X0,c_Pow(X1,X2),tc_set(X2)) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3672]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3666,plain,
% 39.33/40.19      ( c_List_Orotate(X0,X1,X2) = X1
% 39.33/40.19      | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11785_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21248,plain,
% 39.33/40.19      ( c_List_Orotate(X0,X1,X2) = X1
% 39.33/40.19      | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3666]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21249,plain,
% 39.33/40.19      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat)
% 39.33/40.19      | c_List_Orotate(X2,X0,X1) = X0 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21248]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3662,plain,
% 39.33/40.19      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.33/40.19      | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11788_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21240,plain,
% 39.33/40.19      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.33/40.19      | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3662]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21241,plain,
% 39.33/40.19      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21240]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3660,plain,
% 39.33/40.19      ( c_Parity_Oeven(X0,tc_nat)
% 39.33/40.19      | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11789_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21236,plain,
% 39.33/40.19      ( c_Parity_Oeven(X0,tc_nat)
% 39.33/40.19      | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3660]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21237,plain,
% 39.33/40.19      ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 39.33/40.19      | c_Parity_Oeven(X0,tc_nat) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21236]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3657,plain,
% 39.33/40.19      ( c_Numeral_Onumber__of(X0,X1) = c_0
% 39.33/40.19      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 39.33/40.19      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11790_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21230,plain,
% 39.33/40.19      ( c_Numeral_Onumber__of(X0,X1) = c_0
% 39.33/40.19      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 39.33/40.19      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3657]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21231,plain,
% 39.33/40.19      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.19      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 39.33/40.19      | c_Numeral_Onumber__of(X1,X0) = c_0 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21230]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3647,plain,
% 39.33/40.19      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 39.33/40.19      | X1 = X0
% 39.33/40.19      | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11793_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21210,plain,
% 39.33/40.19      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 39.33/40.19      | X1 = X0
% 39.33/40.19      | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3647]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21211,plain,
% 39.33/40.19      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 39.33/40.19      | ~ c_lessequals(X1,X0,tc_set(X2))
% 39.33/40.19      | X1 = X0 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21210]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3628,plain,
% 39.33/40.19      ( ~ c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X1,X0,tc_set(X2)) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11798_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21172,plain,
% 39.33/40.19      ( ~ c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X1,X0,tc_set(X2)) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3628]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3626,plain,
% 39.33/40.19      ( c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 39.33/40.19      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11799_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21168,plain,
% 39.33/40.19      ( c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 39.33/40.19      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3626]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3619,plain,
% 39.33/40.19      ( c_HOL_Oinverse(c_divide(X0,X1,X2),X2) = c_divide(X1,X0,X2)
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.19      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11802_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21154,plain,
% 39.33/40.19      ( c_HOL_Oinverse(c_divide(X0,X1,X2),X2) = c_divide(X1,X0,X2)
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.19      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3619]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21155,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.19      | c_HOL_Oinverse(c_divide(X1,X2,X0),X0) = c_divide(X2,X1,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21154]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3614,plain,
% 39.33/40.19      ( X0 = c_0
% 39.33/40.19      | X1 = X2
% 39.33/40.19      | c_divide(X1,X0,X3) != c_divide(X2,X0,X3)
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X3)
% 39.33/40.19      | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11803_4) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21144,plain,
% 39.33/40.19      ( X0 = c_0
% 39.33/40.19      | X1 = X2
% 39.33/40.19      | c_divide(X1,X0,X3) != c_divide(X2,X0,X3)
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X3)
% 39.33/40.19      | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3614]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21145,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.19      | c_divide(X1,X2,X0) != c_divide(X3,X2,X0)
% 39.33/40.19      | X2 = c_0
% 39.33/40.19      | X1 = X3 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21144]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3609,plain,
% 39.33/40.19      ( X0 = c_0
% 39.33/40.19      | X1 = X2
% 39.33/40.19      | c_divide(X0,X1,X3) != c_divide(X0,X2,X3)
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X3)
% 39.33/40.19      | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11804_4) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21134,plain,
% 39.33/40.19      ( X0 = c_0
% 39.33/40.19      | X1 = X2
% 39.33/40.19      | c_divide(X0,X1,X3) != c_divide(X0,X2,X3)
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X3)
% 39.33/40.19      | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3609]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21135,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.19      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.19      | c_divide(X1,X2,X0) != c_divide(X1,X3,X0)
% 39.33/40.19      | X1 = c_0
% 39.33/40.19      | X2 = X3 ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21134]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3606,plain,
% 39.33/40.19      ( c_less(X0,X1,X2)
% 39.33/40.19      | ~ c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 39.33/40.19      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11805_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21128,plain,
% 39.33/40.19      ( c_less(X0,X1,X2)
% 39.33/40.19      | ~ c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 39.33/40.19      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3606]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21129,plain,
% 39.33/40.19      ( ~ class_Orderings_Oord(X0)
% 39.33/40.19      | c_less(X1,X2,X0)
% 39.33/40.19      | ~ c_in(X1,c_SetInterval_OlessThan(X2,X0),X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21128]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3603,plain,
% 39.33/40.19      ( c_less(X0,X1,X2)
% 39.33/40.19      | ~ c_in(X1,c_SetInterval_OgreaterThan(X0,X2),X2)
% 39.33/40.19      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11806_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21122,plain,
% 39.33/40.19      ( c_less(X0,X1,X2)
% 39.33/40.19      | ~ c_in(X1,c_SetInterval_OgreaterThan(X0,X2),X2)
% 39.33/40.19      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3603]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21123,plain,
% 39.33/40.19      ( ~ class_Orderings_Oord(X0)
% 39.33/40.19      | c_less(X1,X2,X0)
% 39.33/40.19      | ~ c_in(X2,c_SetInterval_OgreaterThan(X1,X0),X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21122]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3600,plain,
% 39.33/40.19      ( c_lessequals(X0,X1,X2)
% 39.33/40.19      | ~ c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 39.33/40.19      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11807_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21116,plain,
% 39.33/40.19      ( c_lessequals(X0,X1,X2)
% 39.33/40.19      | ~ c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 39.33/40.19      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3600]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21117,plain,
% 39.33/40.19      ( ~ class_Orderings_Oord(X0)
% 39.33/40.19      | c_lessequals(X1,X2,X0)
% 39.33/40.19      | ~ c_in(X1,c_SetInterval_OatMost(X2,X0),X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21116]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3597,plain,
% 39.33/40.19      ( c_lessequals(X0,X1,X2)
% 39.33/40.19      | ~ c_in(X1,c_SetInterval_OatLeast(X0,X2),X2)
% 39.33/40.19      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11808_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21110,plain,
% 39.33/40.19      ( c_lessequals(X0,X1,X2)
% 39.33/40.19      | ~ c_in(X1,c_SetInterval_OatLeast(X0,X2),X2)
% 39.33/40.19      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3597]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21111,plain,
% 39.33/40.19      ( ~ class_Orderings_Oord(X0)
% 39.33/40.19      | c_lessequals(X1,X2,X0)
% 39.33/40.19      | ~ c_in(X2,c_SetInterval_OatLeast(X1,X0),X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21110]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3591,plain,
% 39.33/40.19      ( c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X0,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 39.33/40.19      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11810_1) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21098,plain,
% 39.33/40.19      ( c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X0,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 39.33/40.19      | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3591]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21099,plain,
% 39.33/40.19      ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.19      | c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X0,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21098]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3585,plain,
% 39.33/40.19      ( c_less(c_0,X0,X1)
% 39.33/40.19      | ~ c_less(c_uminus(X0,X1),c_0,X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11812_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21086,plain,
% 39.33/40.19      ( c_less(c_0,X0,X1)
% 39.33/40.19      | ~ c_less(c_uminus(X0,X1),c_0,X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3585]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21087,plain,
% 39.33/40.19      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.19      | c_less(c_0,X1,X0)
% 39.33/40.19      | ~ c_less(c_uminus(X1,X0),c_0,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21086]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3582,plain,
% 39.33/40.19      ( c_lessequals(c_0,X0,X1)
% 39.33/40.19      | ~ c_lessequals(c_uminus(X0,X1),c_0,X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11813_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21080,plain,
% 39.33/40.19      ( c_lessequals(c_0,X0,X1)
% 39.33/40.19      | ~ c_lessequals(c_uminus(X0,X1),c_0,X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3582]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21081,plain,
% 39.33/40.19      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.19      | c_lessequals(c_0,X1,X0)
% 39.33/40.19      | ~ c_lessequals(c_uminus(X1,X0),c_0,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21080]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3579,plain,
% 39.33/40.19      ( c_less(X0,c_0,X1)
% 39.33/40.19      | ~ c_less(c_0,c_uminus(X0,X1),X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11814_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21074,plain,
% 39.33/40.19      ( c_less(X0,c_0,X1)
% 39.33/40.19      | ~ c_less(c_0,c_uminus(X0,X1),X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3579]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21075,plain,
% 39.33/40.19      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.19      | ~ c_less(c_0,c_uminus(X1,X0),X0)
% 39.33/40.19      | c_less(X1,c_0,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21074]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3576,plain,
% 39.33/40.19      ( c_lessequals(X0,c_0,X1)
% 39.33/40.19      | ~ c_lessequals(c_0,c_uminus(X0,X1),X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11815_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21068,plain,
% 39.33/40.19      ( c_lessequals(X0,c_0,X1)
% 39.33/40.19      | ~ c_lessequals(c_0,c_uminus(X0,X1),X1)
% 39.33/40.19      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3576]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21069,plain,
% 39.33/40.19      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.19      | ~ c_lessequals(c_0,c_uminus(X1,X0),X0)
% 39.33/40.19      | c_lessequals(X1,c_0,X0) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21068]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3573,plain,
% 39.33/40.19      ( c_less(c_0,X0,tc_nat)
% 39.33/40.19      | ~ c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11818_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21062,plain,
% 39.33/40.19      ( c_less(c_0,X0,tc_nat)
% 39.33/40.19      | ~ c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3573]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21063,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.19      | ~ c_less(c_0,c_NatArith_Oof__nat(X1,X0),X0)
% 39.33/40.19      | c_less(c_0,X1,tc_nat) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21062]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3570,plain,
% 39.33/40.19      ( c_less(X0,c_0,tc_IntDef_Oint)
% 39.33/40.19      | ~ c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11819_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21056,plain,
% 39.33/40.19      ( c_less(X0,c_0,tc_IntDef_Oint)
% 39.33/40.19      | ~ c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3570]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21057,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.19      | ~ c_less(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 39.33/40.19      | c_less(X1,c_0,tc_IntDef_Oint) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21056]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3567,plain,
% 39.33/40.19      ( c_lessequals(X0,c_0,tc_IntDef_Oint)
% 39.33/40.19      | ~ c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11820_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21050,plain,
% 39.33/40.19      ( c_lessequals(X0,c_0,tc_IntDef_Oint)
% 39.33/40.19      | ~ c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3567]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21051,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.19      | ~ c_lessequals(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 39.33/40.19      | c_lessequals(X1,c_0,tc_IntDef_Oint) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21050]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3564,plain,
% 39.33/40.19      ( c_less(c_0,X0,tc_IntDef_Oint)
% 39.33/40.19      | ~ c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11821_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21044,plain,
% 39.33/40.19      ( c_less(c_0,X0,tc_IntDef_Oint)
% 39.33/40.19      | ~ c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3564]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21045,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.19      | ~ c_less(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 39.33/40.19      | c_less(c_0,X1,tc_IntDef_Oint) ),
% 39.33/40.19      inference(rewriting,[status(thm)],[c_21044]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_3561,plain,
% 39.33/40.19      ( c_lessequals(c_0,X0,tc_IntDef_Oint)
% 39.33/40.19      | ~ c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.19      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11822_2) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21038,plain,
% 39.33/40.19      ( c_lessequals(c_0,X0,tc_IntDef_Oint)
% 39.33/40.19      | ~ c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 39.33/40.19      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.19      inference(copy,[status(esa)],[c_3561]) ).
% 39.33/40.19  
% 39.33/40.19  cnf(c_21039,plain,
% 39.33/40.19      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.19      | ~ c_lessequals(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 39.33/40.20      | c_lessequals(c_0,X1,tc_IntDef_Oint) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_21038]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3551,plain,
% 39.33/40.20      ( c_in(X0,c_Pow(X1,X2),tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11825_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_21018,plain,
% 39.33/40.20      ( c_in(X0,c_Pow(X1,X2),tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3551]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_21019,plain,
% 39.33/40.20      ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_in(X0,c_Pow(X1,X2),tc_set(X2)) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_21018]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3549,plain,
% 39.33/40.20      ( c_uminus(c_minus(X0,X1,X2),X2) = c_minus(X1,X0,X2)
% 39.33/40.20      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11826_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_21014,plain,
% 39.33/40.20      ( c_uminus(c_minus(X0,X1,X2),X2) = c_minus(X1,X0,X2)
% 39.33/40.20      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3549]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_21015,plain,
% 39.33/40.20      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.20      | c_uminus(c_minus(X1,X2,X0),X0) = c_minus(X2,X1,X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_21014]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3545,plain,
% 39.33/40.20      ( X0 = c_0
% 39.33/40.20      | X1 = X2
% 39.33/40.20      | c_times(X1,X0,X3) != c_times(X2,X0,X3)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X3) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11827_3) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_21006,plain,
% 39.33/40.20      ( X0 = c_0
% 39.33/40.20      | X1 = X2
% 39.33/40.20      | c_times(X1,X0,X3) != c_times(X2,X0,X3)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X3) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3545]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_21007,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.20      | c_times(X1,X2,X0) != c_times(X3,X2,X0)
% 39.33/40.20      | X2 = c_0
% 39.33/40.20      | X1 = X3 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_21006]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3541,plain,
% 39.33/40.20      ( X0 = c_0
% 39.33/40.20      | X1 = X2
% 39.33/40.20      | c_times(X0,X1,X3) != c_times(X0,X2,X3)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X3) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11828_3) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20998,plain,
% 39.33/40.20      ( X0 = c_0
% 39.33/40.20      | X1 = X2
% 39.33/40.20      | c_times(X0,X1,X3) != c_times(X0,X2,X3)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X3) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3541]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20999,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.20      | c_times(X1,X2,X0) != c_times(X1,X3,X0)
% 39.33/40.20      | X1 = c_0
% 39.33/40.20      | X2 = X3 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20998]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3538,plain,
% 39.33/40.20      ( X0 = X1
% 39.33/40.20      | c_plus(X0,X2,X3) != c_plus(X1,X2,X3)
% 39.33/40.20      | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11831_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20992,plain,
% 39.33/40.20      ( X0 = X1
% 39.33/40.20      | c_plus(X0,X2,X3) != c_plus(X1,X2,X3)
% 39.33/40.20      | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3538]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20993,plain,
% 39.33/40.20      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.20      | c_plus(X1,X2,X0) != c_plus(X3,X2,X0)
% 39.33/40.20      | X1 = X3 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20992]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3535,plain,
% 39.33/40.20      ( X0 = X1
% 39.33/40.20      | c_plus(X2,X0,X3) != c_plus(X2,X1,X3)
% 39.33/40.20      | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11832_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20986,plain,
% 39.33/40.20      ( X0 = X1
% 39.33/40.20      | c_plus(X2,X0,X3) != c_plus(X2,X1,X3)
% 39.33/40.20      | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3535]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20987,plain,
% 39.33/40.20      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.20      | c_plus(X1,X2,X0) != c_plus(X1,X3,X0)
% 39.33/40.20      | X2 = X3 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20986]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3529,plain,
% 39.33/40.20      ( X0 = c_List_Olist_ONil
% 39.33/40.20      | c_List_Oconcat(X1,X2) != c_List_Olist_ONil
% 39.33/40.20      | ~ c_in(X0,c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2)) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11834_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20974,plain,
% 39.33/40.20      ( X0 = c_List_Olist_ONil
% 39.33/40.20      | c_List_Oconcat(X1,X2) != c_List_Olist_ONil
% 39.33/40.20      | ~ c_in(X0,c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2)) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3529]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20975,plain,
% 39.33/40.20      ( ~ c_in(X0,c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2))
% 39.33/40.20      | c_List_Oconcat(X1,X2) != c_List_Olist_ONil
% 39.33/40.20      | X0 = c_List_Olist_ONil ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20974]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3525,plain,
% 39.33/40.20      ( c_times(X0,c_divide(X1,X0,X2),X2) = X1
% 39.33/40.20      | X0 = c_0
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11835_3) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20966,plain,
% 39.33/40.20      ( c_times(X0,c_divide(X1,X0,X2),X2) = X1
% 39.33/40.20      | X0 = c_0
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3525]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20967,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.20      | c_times(X1,c_divide(X2,X1,X0),X0) = X2
% 39.33/40.20      | X1 = c_0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20966]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3521,plain,
% 39.33/40.20      ( c_times(c_divide(X0,X1,X2),X1,X2) = X0
% 39.33/40.20      | X1 = c_0
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11836_3) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20958,plain,
% 39.33/40.20      ( c_times(c_divide(X0,X1,X2),X1,X2) = X0
% 39.33/40.20      | X1 = c_0
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3521]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20959,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.20      | c_times(c_divide(X1,X2,X0),X2,X0) = X1
% 39.33/40.20      | X2 = c_0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20958]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3517,plain,
% 39.33/40.20      ( c_divide(c_times(X0,X1,X2),X1,X2) = X0
% 39.33/40.20      | X1 = c_0
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11837_3) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20950,plain,
% 39.33/40.20      ( c_divide(c_times(X0,X1,X2),X1,X2) = X0
% 39.33/40.20      | X1 = c_0
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3517]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20951,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.20      | c_divide(c_times(X1,X2,X0),X2,X0) = X1
% 39.33/40.20      | X2 = c_0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20950]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3513,plain,
% 39.33/40.20      ( c_divide(c_times(X0,X1,X2),X0,X2) = X1
% 39.33/40.20      | X0 = c_0
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11838_3) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20942,plain,
% 39.33/40.20      ( c_divide(c_times(X0,X1,X2),X0,X2) = X1
% 39.33/40.20      | X0 = c_0
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3513]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20943,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.20      | c_divide(c_times(X1,X2,X0),X1,X0) = X2
% 39.33/40.20      | X1 = c_0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20942]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3511,plain,
% 39.33/40.20      ( 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)
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11839_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20938,plain,
% 39.33/40.20      ( 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)
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3511]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20939,plain,
% 39.33/40.20      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.20      | 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) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20938]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3509,plain,
% 39.33/40.20      ( c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 39.33/40.20      | c_List_Odrop(X2,X0,X1) != c_List_Olist_ONil ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11840_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20934,plain,
% 39.33/40.20      ( c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 39.33/40.20      | c_List_Odrop(X2,X0,X1) != c_List_Olist_ONil ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3509]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3491,plain,
% 39.33/40.20      ( c_List_Oset(c_List_Oreplicate(X0,X1,X2),X2) = c_insert(X1,c_emptyset,X2)
% 39.33/40.20      | X0 = c_0 ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11847_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20898,plain,
% 39.33/40.20      ( c_List_Oset(c_List_Oreplicate(X0,X1,X2),X2) = c_insert(X1,c_emptyset,X2)
% 39.33/40.20      | X0 = c_0 ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3491]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3488,plain,
% 39.33/40.20      ( c_divide(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_divide(X0,X2,X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11849_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20892,plain,
% 39.33/40.20      ( c_divide(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_divide(X0,X2,X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3488]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20893,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.20      | c_divide(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_divide(X1,X2,X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20892]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3485,plain,
% 39.33/40.20      ( c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 39.33/40.20      | ~ c_less(X0,X1,X2)
% 39.33/40.20      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11851_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20886,plain,
% 39.33/40.20      ( c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 39.33/40.20      | ~ c_less(X0,X1,X2)
% 39.33/40.20      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3485]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20887,plain,
% 39.33/40.20      ( ~ class_Orderings_Oord(X0)
% 39.33/40.20      | ~ c_less(X1,X2,X0)
% 39.33/40.20      | c_in(X1,c_SetInterval_OlessThan(X2,X0),X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20886]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3482,plain,
% 39.33/40.20      ( c_in(X0,c_SetInterval_OgreaterThan(X1,X2),X2)
% 39.33/40.20      | ~ c_less(X1,X0,X2)
% 39.33/40.20      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11852_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20880,plain,
% 39.33/40.20      ( c_in(X0,c_SetInterval_OgreaterThan(X1,X2),X2)
% 39.33/40.20      | ~ c_less(X1,X0,X2)
% 39.33/40.20      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3482]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20881,plain,
% 39.33/40.20      ( ~ class_Orderings_Oord(X0)
% 39.33/40.20      | ~ c_less(X1,X2,X0)
% 39.33/40.20      | c_in(X2,c_SetInterval_OgreaterThan(X1,X0),X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20880]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3479,plain,
% 39.33/40.20      ( c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 39.33/40.20      | ~ c_lessequals(X0,X1,X2)
% 39.33/40.20      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11853_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20874,plain,
% 39.33/40.20      ( c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 39.33/40.20      | ~ c_lessequals(X0,X1,X2)
% 39.33/40.20      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3479]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20875,plain,
% 39.33/40.20      ( ~ class_Orderings_Oord(X0)
% 39.33/40.20      | ~ c_lessequals(X1,X2,X0)
% 39.33/40.20      | c_in(X1,c_SetInterval_OatMost(X2,X0),X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20874]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3476,plain,
% 39.33/40.20      ( c_in(X0,c_SetInterval_OatLeast(X1,X2),X2)
% 39.33/40.20      | ~ c_lessequals(X1,X0,X2)
% 39.33/40.20      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11854_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20868,plain,
% 39.33/40.20      ( c_in(X0,c_SetInterval_OatLeast(X1,X2),X2)
% 39.33/40.20      | ~ c_lessequals(X1,X0,X2)
% 39.33/40.20      | ~ class_Orderings_Oord(X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3476]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20869,plain,
% 39.33/40.20      ( ~ class_Orderings_Oord(X0)
% 39.33/40.20      | ~ c_lessequals(X1,X2,X0)
% 39.33/40.20      | c_in(X2,c_SetInterval_OatLeast(X1,X0),X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20868]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3474,plain,
% 39.33/40.20      ( c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_minus(X1,c_1,tc_nat)
% 39.33/40.20      | ~ c_less(X0,X1,tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11856_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20864,plain,
% 39.33/40.20      ( c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_minus(X1,c_1,tc_nat)
% 39.33/40.20      | ~ c_less(X0,X1,tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3474]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20865,plain,
% 39.33/40.20      ( ~ c_less(X0,X1,tc_nat)
% 39.33/40.20      | c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_minus(X1,c_1,tc_nat) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20864]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3472,plain,
% 39.33/40.20      ( X0 = X1 | c_Sum__Type_OInr(X0,X2,X3) != c_Sum__Type_OInr(X1,X2,X3) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11857_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20860,plain,
% 39.33/40.20      ( X0 = X1 | c_Sum__Type_OInr(X0,X2,X3) != c_Sum__Type_OInr(X1,X2,X3) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3472]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20861,plain,
% 39.33/40.20      ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInr(X3,X1,X2) | X0 = X3 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20860]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3470,plain,
% 39.33/40.20      ( X0 = X1 | c_Sum__Type_OInl(X0,X2,X3) != c_Sum__Type_OInl(X1,X2,X3) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11858_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20856,plain,
% 39.33/40.20      ( X0 = X1 | c_Sum__Type_OInl(X0,X2,X3) != c_Sum__Type_OInl(X1,X2,X3) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3470]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20857,plain,
% 39.33/40.20      ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInl(X3,X1,X2) | X0 = X3 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20856]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3464,plain,
% 39.33/40.20      ( X0 = X1 | c_append(X2,X0,X3) != c_append(X2,X1,X3) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11860_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20844,plain,
% 39.33/40.20      ( X0 = X1 | c_append(X2,X0,X3) != c_append(X2,X1,X3) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3464]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20845,plain,
% 39.33/40.20      ( c_append(X0,X1,X2) != c_append(X0,X3,X2) | X1 = X3 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20844]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3462,plain,
% 39.33/40.20      ( X0 = X1
% 39.33/40.20      | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11861_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20840,plain,
% 39.33/40.20      ( X0 = X1
% 39.33/40.20      | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3462]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20841,plain,
% 39.33/40.20      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 39.33/40.20      | X1 = X4 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20840]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3460,plain,
% 39.33/40.20      ( X0 = X1
% 39.33/40.20      | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11862_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20836,plain,
% 39.33/40.20      ( X0 = X1
% 39.33/40.20      | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3460]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20837,plain,
% 39.33/40.20      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 39.33/40.20      | X0 = X3 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20836]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3458,plain,
% 39.33/40.20      ( X0 = X1 | c_append(X0,X2,X3) != c_append(X1,X2,X3) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11863_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20832,plain,
% 39.33/40.20      ( X0 = X1 | c_append(X0,X2,X3) != c_append(X1,X2,X3) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3458]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20833,plain,
% 39.33/40.20      ( c_append(X0,X1,X2) != c_append(X3,X1,X2) | X0 = X3 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20832]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3456,plain,
% 39.33/40.20      ( X0 = X1
% 39.33/40.20      | c_Datatype__Universe_OIn1(X0,X2,X3) != c_Datatype__Universe_OIn1(X1,X2,X3) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11864_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20828,plain,
% 39.33/40.20      ( X0 = X1
% 39.33/40.20      | c_Datatype__Universe_OIn1(X0,X2,X3) != c_Datatype__Universe_OIn1(X1,X2,X3) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3456]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20829,plain,
% 39.33/40.20      ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2)
% 39.33/40.20      | X0 = X3 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20828]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3454,plain,
% 39.33/40.20      ( X0 = X1
% 39.33/40.20      | c_Datatype__Universe_OIn0(X0,X2,X3) != c_Datatype__Universe_OIn0(X1,X2,X3) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11865_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20824,plain,
% 39.33/40.20      ( X0 = X1
% 39.33/40.20      | c_Datatype__Universe_OIn0(X0,X2,X3) != c_Datatype__Universe_OIn0(X1,X2,X3) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3454]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20825,plain,
% 39.33/40.20      ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2)
% 39.33/40.20      | X0 = X3 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20824]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3452,plain,
% 39.33/40.20      ( X0 = X1
% 39.33/40.20      | c_Datatype__Universe_OAtom(X0,X2,X3) != c_Datatype__Universe_OAtom(X1,X2,X3) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11866_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20820,plain,
% 39.33/40.20      ( X0 = X1
% 39.33/40.20      | c_Datatype__Universe_OAtom(X0,X2,X3) != c_Datatype__Universe_OAtom(X1,X2,X3) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3452]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20821,plain,
% 39.33/40.20      ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OAtom(X3,X1,X2)
% 39.33/40.20      | X0 = X3 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20820]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3450,plain,
% 39.33/40.20      ( X0 = X1
% 39.33/40.20      | c_Datatype__Universe_ONumb(X0,X2,X3) != c_Datatype__Universe_ONumb(X1,X2,X3) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11867_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20816,plain,
% 39.33/40.20      ( X0 = X1
% 39.33/40.20      | c_Datatype__Universe_ONumb(X0,X2,X3) != c_Datatype__Universe_ONumb(X1,X2,X3) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3450]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20817,plain,
% 39.33/40.20      ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2)
% 39.33/40.20      | X0 = X3 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20816]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3448,plain,
% 39.33/40.20      ( X0 = X1
% 39.33/40.20      | c_Datatype__Universe_OLeaf(X0,X2,X3) != c_Datatype__Universe_OLeaf(X1,X2,X3) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11868_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20812,plain,
% 39.33/40.20      ( X0 = X1
% 39.33/40.20      | c_Datatype__Universe_OLeaf(X0,X2,X3) != c_Datatype__Universe_OLeaf(X1,X2,X3) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3448]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20813,plain,
% 39.33/40.20      ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2)
% 39.33/40.20      | X0 = X3 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20812]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3446,plain,
% 39.33/40.20      ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 39.33/40.20      | ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11869_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20808,plain,
% 39.33/40.20      ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 39.33/40.20      | ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3446]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20809,plain,
% 39.33/40.20      ( ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 39.33/40.20      | c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20808]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3444,plain,
% 39.33/40.20      ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 39.33/40.20      | ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11870_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20804,plain,
% 39.33/40.20      ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 39.33/40.20      | ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3444]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20805,plain,
% 39.33/40.20      ( ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20804]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3442,plain,
% 39.33/40.20      ( 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)
% 39.33/40.20      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11873_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20800,plain,
% 39.33/40.20      ( 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)
% 39.33/40.20      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3442]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20801,plain,
% 39.33/40.20      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | 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) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20800]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3439,plain,
% 39.33/40.20      ( c_times(c_0,c_divide(X0,c_0,X1),X1) = c_0
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11875_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20794,plain,
% 39.33/40.20      ( c_times(c_0,c_divide(X0,c_0,X1),X1) = c_0
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3439]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20795,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.20      | c_times(c_0,c_divide(X1,c_0,X0),X0) = c_0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20794]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3436,plain,
% 39.33/40.20      ( c_times(c_divide(X0,c_0,X1),c_0,X1) = c_0
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11876_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20788,plain,
% 39.33/40.20      ( c_times(c_divide(X0,c_0,X1),c_0,X1) = c_0
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3436]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20789,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.20      | c_times(c_divide(X1,c_0,X0),c_0,X0) = c_0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20788]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3433,plain,
% 39.33/40.20      ( c_divide(c_times(X0,c_0,X1),c_0,X1) = c_0
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11877_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20782,plain,
% 39.33/40.20      ( c_divide(c_times(X0,c_0,X1),c_0,X1) = c_0
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3433]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20783,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.20      | c_divide(c_times(X1,c_0,X0),c_0,X0) = c_0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20782]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3430,plain,
% 39.33/40.20      ( c_divide(c_0,c_times(X0,c_0,X1),X1) = c_0
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11878_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20776,plain,
% 39.33/40.20      ( c_divide(c_0,c_times(X0,c_0,X1),X1) = c_0
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3430]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20777,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.20      | c_divide(c_0,c_times(X1,c_0,X0),X0) = c_0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20776]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3427,plain,
% 39.33/40.20      ( c_divide(c_times(c_0,X0,X1),c_0,X1) = c_0
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11879_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20770,plain,
% 39.33/40.20      ( c_divide(c_times(c_0,X0,X1),c_0,X1) = c_0
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3427]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20771,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.20      | c_divide(c_times(c_0,X1,X0),c_0,X0) = c_0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20770]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3424,plain,
% 39.33/40.20      ( c_divide(c_0,c_times(c_0,X0,X1),X1) = c_0
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11880_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20764,plain,
% 39.33/40.20      ( c_divide(c_0,c_times(c_0,X0,X1),X1) = c_0
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3424]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20765,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.20      | c_divide(c_0,c_times(c_0,X1,X0),X0) = c_0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20764]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3422,plain,
% 39.33/40.20      ( X0 = X1 | c_insert(X0,X2,X3) != c_insert(X1,c_emptyset,X3) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11887_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20760,plain,
% 39.33/40.20      ( X0 = X1 | c_insert(X0,X2,X3) != c_insert(X1,c_emptyset,X3) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3422]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20761,plain,
% 39.33/40.20      ( c_insert(X0,X1,X2) != c_insert(X3,c_emptyset,X2) | X0 = X3 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20760]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3420,plain,
% 39.33/40.20      ( X0 = X1 | c_insert(X1,c_emptyset,X2) != c_insert(X0,X3,X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11888_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20756,plain,
% 39.33/40.20      ( X0 = X1 | c_insert(X1,c_emptyset,X2) != c_insert(X0,X3,X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3420]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20757,plain,
% 39.33/40.20      ( c_insert(X0,c_emptyset,X1) != c_insert(X2,X3,X1) | X2 = X0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20756]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3417,plain,
% 39.33/40.20      ( c_less(c_uminus(X0,X1),c_0,X1)
% 39.33/40.20      | ~ c_less(c_0,X0,X1)
% 39.33/40.20      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11891_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20750,plain,
% 39.33/40.20      ( c_less(c_uminus(X0,X1),c_0,X1)
% 39.33/40.20      | ~ c_less(c_0,X0,X1)
% 39.33/40.20      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3417]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20751,plain,
% 39.33/40.20      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.20      | ~ c_less(c_0,X1,X0)
% 39.33/40.20      | c_less(c_uminus(X1,X0),c_0,X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20750]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3414,plain,
% 39.33/40.20      ( c_lessequals(c_uminus(X0,X1),c_0,X1)
% 39.33/40.20      | ~ c_lessequals(c_0,X0,X1)
% 39.33/40.20      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11892_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20744,plain,
% 39.33/40.20      ( c_lessequals(c_uminus(X0,X1),c_0,X1)
% 39.33/40.20      | ~ c_lessequals(c_0,X0,X1)
% 39.33/40.20      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3414]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20745,plain,
% 39.33/40.20      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.20      | ~ c_lessequals(c_0,X1,X0)
% 39.33/40.20      | c_lessequals(c_uminus(X1,X0),c_0,X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20744]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3411,plain,
% 39.33/40.20      ( c_less(c_0,c_uminus(X0,X1),X1)
% 39.33/40.20      | ~ c_less(X0,c_0,X1)
% 39.33/40.20      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11893_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20738,plain,
% 39.33/40.20      ( c_less(c_0,c_uminus(X0,X1),X1)
% 39.33/40.20      | ~ c_less(X0,c_0,X1)
% 39.33/40.20      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3411]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20739,plain,
% 39.33/40.20      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.20      | c_less(c_0,c_uminus(X1,X0),X0)
% 39.33/40.20      | ~ c_less(X1,c_0,X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20738]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3408,plain,
% 39.33/40.20      ( c_lessequals(c_0,c_uminus(X0,X1),X1)
% 39.33/40.20      | ~ c_lessequals(X0,c_0,X1)
% 39.33/40.20      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11894_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20732,plain,
% 39.33/40.20      ( c_lessequals(c_0,c_uminus(X0,X1),X1)
% 39.33/40.20      | ~ c_lessequals(X0,c_0,X1)
% 39.33/40.20      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3408]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20733,plain,
% 39.33/40.20      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.20      | c_lessequals(c_0,c_uminus(X1,X0),X0)
% 39.33/40.20      | ~ c_lessequals(X1,c_0,X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20732]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3405,plain,
% 39.33/40.20      ( X0 = c_0 | X1 = X2 | c_times(X1,X0,tc_nat) != c_times(X2,X0,tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11895_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20726,plain,
% 39.33/40.20      ( X0 = c_0 | X1 = X2 | c_times(X1,X0,tc_nat) != c_times(X2,X0,tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3405]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20727,plain,
% 39.33/40.20      ( c_times(X0,X1,tc_nat) != c_times(X2,X1,tc_nat) | X1 = c_0 | X0 = X2 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20726]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3402,plain,
% 39.33/40.20      ( X0 = c_0 | X1 = X2 | c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11896_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20720,plain,
% 39.33/40.20      ( X0 = c_0 | X1 = X2 | c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3402]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20721,plain,
% 39.33/40.20      ( c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) | X0 = c_0 | X1 = X2 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20720]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3399,plain,
% 39.33/40.20      ( c_in(c_uminus(X0,X1),c_IntDef_OInts,X1)
% 39.33/40.20      | ~ c_in(X0,c_IntDef_OInts,X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11897_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20714,plain,
% 39.33/40.20      ( c_in(c_uminus(X0,X1),c_IntDef_OInts,X1)
% 39.33/40.20      | ~ c_in(X0,c_IntDef_OInts,X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3399]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20715,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.33/40.20      | c_in(c_uminus(X1,X0),c_IntDef_OInts,X0)
% 39.33/40.20      | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20714]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3389,plain,
% 39.33/40.20      ( X0 = X1 | c_plus(X0,X2,tc_nat) != c_plus(X1,X2,tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11902_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20694,plain,
% 39.33/40.20      ( X0 = X1 | c_plus(X0,X2,tc_nat) != c_plus(X1,X2,tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3389]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20695,plain,
% 39.33/40.20      ( c_plus(X0,X1,tc_nat) != c_plus(X2,X1,tc_nat) | X0 = X2 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20694]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3387,plain,
% 39.33/40.20      ( X0 = X1 | c_plus(X2,X0,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11903_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20690,plain,
% 39.33/40.20      ( X0 = X1 | c_plus(X2,X0,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3387]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20691,plain,
% 39.33/40.20      ( c_plus(X0,X1,tc_nat) != c_plus(X0,X2,tc_nat) | X1 = X2 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20690]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3385,plain,
% 39.33/40.20      ( X0 = X1 | c_insert(X0,c_emptyset,X2) != c_insert(X1,c_emptyset,X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11904_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20686,plain,
% 39.33/40.20      ( X0 = X1 | c_insert(X0,c_emptyset,X2) != c_insert(X1,c_emptyset,X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3385]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20687,plain,
% 39.33/40.20      ( c_insert(X0,c_emptyset,X1) != c_insert(X2,c_emptyset,X1) | X0 = X2 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20686]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3382,plain,
% 39.33/40.20      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 39.33/40.20      | c_Numeral_Onumber__of(X0,X2) != c_Numeral_Onumber__of(X1,X2)
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11905_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20680,plain,
% 39.33/40.20      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 39.33/40.20      | c_Numeral_Onumber__of(X0,X2) != c_Numeral_Onumber__of(X1,X2)
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3382]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20681,plain,
% 39.33/40.20      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.20      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 39.33/40.20      | c_Numeral_Onumber__of(X1,X0) != c_Numeral_Onumber__of(X2,X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20680]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3380,plain,
% 39.33/40.20      ( c_times(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_times(X0,X2,X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Oring(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11906_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20676,plain,
% 39.33/40.20      ( c_times(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_times(X0,X2,X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Oring(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3380]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20677,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Oring(X0)
% 39.33/40.20      | c_times(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_times(X1,X2,X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20676]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3377,plain,
% 39.33/40.20      ( c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 39.33/40.20      | ~ c_less(c_0,X0,tc_nat)
% 39.33/40.20      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11907_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20670,plain,
% 39.33/40.20      ( c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 39.33/40.20      | ~ c_less(c_0,X0,tc_nat)
% 39.33/40.20      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3377]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20671,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.20      | c_less(c_0,c_NatArith_Oof__nat(X1,X0),X0)
% 39.33/40.20      | ~ c_less(c_0,X1,tc_nat) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20670]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3374,plain,
% 39.33/40.20      ( c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 39.33/40.20      | ~ c_less(X0,c_0,tc_IntDef_Oint)
% 39.33/40.20      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11908_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20664,plain,
% 39.33/40.20      ( c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 39.33/40.20      | ~ c_less(X0,c_0,tc_IntDef_Oint)
% 39.33/40.20      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3374]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20665,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.20      | c_less(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 39.33/40.20      | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20664]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3371,plain,
% 39.33/40.20      ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 39.33/40.20      | ~ c_lessequals(X0,c_0,tc_IntDef_Oint)
% 39.33/40.20      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11909_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20658,plain,
% 39.33/40.20      ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 39.33/40.20      | ~ c_lessequals(X0,c_0,tc_IntDef_Oint)
% 39.33/40.20      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3371]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20659,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.20      | c_lessequals(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 39.33/40.20      | ~ c_lessequals(X1,c_0,tc_IntDef_Oint) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20658]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3368,plain,
% 39.33/40.20      ( c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 39.33/40.20      | ~ c_less(c_0,X0,tc_IntDef_Oint)
% 39.33/40.20      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11910_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20652,plain,
% 39.33/40.20      ( c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 39.33/40.20      | ~ c_less(c_0,X0,tc_IntDef_Oint)
% 39.33/40.20      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3368]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20653,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.20      | c_less(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 39.33/40.20      | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20652]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3365,plain,
% 39.33/40.20      ( c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 39.33/40.20      | ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 39.33/40.20      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11911_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20646,plain,
% 39.33/40.20      ( c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 39.33/40.20      | ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 39.33/40.20      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3365]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20647,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.20      | c_lessequals(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 39.33/40.20      | ~ c_lessequals(c_0,X1,tc_IntDef_Oint) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20646]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3363,plain,
% 39.33/40.20      ( 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)
% 39.33/40.20      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11912_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20642,plain,
% 39.33/40.20      ( 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)
% 39.33/40.20      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3363]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20643,plain,
% 39.33/40.20      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | 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) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20642]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3360,plain,
% 39.33/40.20      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11913_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20636,plain,
% 39.33/40.20      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3360]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3356,plain,
% 39.33/40.20      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11914_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20628,plain,
% 39.33/40.20      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3356]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3353,plain,
% 39.33/40.20      ( c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X0)) = X0
% 39.33/40.20      | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11915_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20622,plain,
% 39.33/40.20      ( c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X0)) = X0
% 39.33/40.20      | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3353]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20623,plain,
% 39.33/40.20      ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 39.33/40.20      | c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X0)) = X0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20622]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3351,plain,
% 39.33/40.20      ( 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)
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11918_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20618,plain,
% 39.33/40.20      ( 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)
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3351]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20619,plain,
% 39.33/40.20      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.20      | 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) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20618]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3349,plain,
% 39.33/40.20      ( 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)
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11919_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20614,plain,
% 39.33/40.20      ( 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)
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3349]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20615,plain,
% 39.33/40.20      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.20      | 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) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20614]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3347,plain,
% 39.33/40.20      ( 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)
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11920_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20610,plain,
% 39.33/40.20      ( 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)
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3347]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20611,plain,
% 39.33/40.20      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.20      | 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) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20610]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3345,plain,
% 39.33/40.20      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11921_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20606,plain,
% 39.33/40.20      ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3345]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20607,plain,
% 39.33/40.20      ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 39.33/40.20      | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20606]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3339,plain,
% 39.33/40.20      ( c_times(X0,c_Main_Ozmod__eq__0D__dest__1(X0,X1),tc_IntDef_Oint) = X1
% 39.33/40.20      | c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint) != c_0 ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11923_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20594,plain,
% 39.33/40.20      ( c_times(X0,c_Main_Ozmod__eq__0D__dest__1(X0,X1),tc_IntDef_Oint) = X1
% 39.33/40.20      | c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint) != c_0 ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3339]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20595,plain,
% 39.33/40.20      ( c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint) != c_0
% 39.33/40.20      | c_times(X1,c_Main_Ozmod__eq__0D__dest__1(X1,X0),tc_IntDef_Oint) = X0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20594]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3337,plain,
% 39.33/40.20      ( c_times(X0,c_Main_Omod__eq__0D__dest__1(X0,X1),tc_nat) = X1
% 39.33/40.20      | c_Divides_Oop_Amod(X1,X0,tc_nat) != c_0 ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11924_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20590,plain,
% 39.33/40.20      ( c_times(X0,c_Main_Omod__eq__0D__dest__1(X0,X1),tc_nat) = X1
% 39.33/40.20      | c_Divides_Oop_Amod(X1,X0,tc_nat) != c_0 ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3337]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20591,plain,
% 39.33/40.20      ( c_Divides_Oop_Amod(X0,X1,tc_nat) != c_0
% 39.33/40.20      | c_times(X1,c_Main_Omod__eq__0D__dest__1(X1,X0),tc_nat) = X0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20590]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3335,plain,
% 39.33/40.20      ( c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 39.33/40.20      | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11930_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20586,plain,
% 39.33/40.20      ( c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 39.33/40.20      | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3335]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3333,plain,
% 39.33/40.20      ( c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11931_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20582,plain,
% 39.33/40.20      ( c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3333]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3331,plain,
% 39.33/40.20      ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 39.33/40.20      | c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) != c_List_Orev(X0,X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11940_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20578,plain,
% 39.33/40.20      ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 39.33/40.20      | c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) != c_List_Orev(X0,X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3331]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20579,plain,
% 39.33/40.20      ( c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) != c_List_Orev(X2,X1)
% 39.33/40.20      | X2 = c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20578]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3329,plain,
% 39.33/40.20      ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 39.33/40.20      | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11941_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20574,plain,
% 39.33/40.20      ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 39.33/40.20      | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3329]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20575,plain,
% 39.33/40.20      ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,c_List_Olist_ONil,X1)
% 39.33/40.20      | X0 = c_List_Olist_OCons(X2,c_List_Olist_ONil,X1) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20574]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3327,plain,
% 39.33/40.20      ( c_div(c_times(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = X1
% 39.33/40.20      | X0 = c_0 ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11942_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20570,plain,
% 39.33/40.20      ( c_div(c_times(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = X1
% 39.33/40.20      | X0 = c_0 ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3327]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3325,plain,
% 39.33/40.20      ( c_div(c_times(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X0
% 39.33/40.20      | X1 = c_0 ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11943_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20566,plain,
% 39.33/40.20      ( c_div(c_times(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X0
% 39.33/40.20      | X1 = c_0 ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3325]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3322,plain,
% 39.33/40.20      ( X0 = X1 | c_less(X0,X1,tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11944_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20560,plain,
% 39.33/40.20      ( X0 = X1 | c_less(X0,X1,tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3322]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20561,plain,
% 39.33/40.20      ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_less(X0,X1,tc_set(X2)) | X0 = X1 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20560]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3319,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.33/40.20      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11946_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20554,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.33/40.20      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3319]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3316,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 39.33/40.20      | ~ c_Parity_Oeven(X0,tc_nat)
% 39.33/40.20      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11947_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20548,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 39.33/40.20      | ~ c_Parity_Oeven(X0,tc_nat)
% 39.33/40.20      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3316]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3313,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.33/40.20      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11948_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20542,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.33/40.20      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3313]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3311,plain,
% 39.33/40.20      ( X0 = c_0 | c_less(c_0,c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11949_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20538,plain,
% 39.33/40.20      ( X0 = c_0 | c_less(c_0,c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3311]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20539,plain,
% 39.33/40.20      ( c_less(c_0,c_Nat_Opower(X0,X1,tc_nat),tc_nat) | X0 = c_0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20538]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3309,plain,
% 39.33/40.20      ( c_minus(X0,X1,tc_set(X2)) = c_emptyset
% 39.33/40.20      | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11962_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20534,plain,
% 39.33/40.20      ( c_minus(X0,X1,tc_set(X2)) = c_emptyset
% 39.33/40.20      | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3309]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20535,plain,
% 39.33/40.20      ( ~ c_lessequals(X0,X1,tc_set(X2))
% 39.33/40.20      | c_minus(X0,X1,tc_set(X2)) = c_emptyset ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20534]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3307,plain,
% 39.33/40.20      ( c_lessequals(X0,X1,tc_set(X2))
% 39.33/40.20      | c_minus(X0,X1,tc_set(X2)) != c_emptyset ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11963_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20530,plain,
% 39.33/40.20      ( c_lessequals(X0,X1,tc_set(X2))
% 39.33/40.20      | c_minus(X0,X1,tc_set(X2)) != c_emptyset ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3307]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3305,plain,
% 39.33/40.20      ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X0,X1,tc_set(X2)) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11964_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20526,plain,
% 39.33/40.20      ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X0,X1,tc_set(X2)) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3305]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3303,plain,
% 39.33/40.20      ( c_List_Orotate1(X0,X1) = X0
% 39.33/40.20      | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11965_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20522,plain,
% 39.33/40.20      ( c_List_Orotate1(X0,X1) = X0
% 39.33/40.20      | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3303]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20523,plain,
% 39.33/40.20      ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat)
% 39.33/40.20      | c_List_Orotate1(X0,X1) = X0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20522]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3301,plain,
% 39.33/40.20      ( c_less(X0,X1,tc_nat) | ~ c_less(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11966_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20518,plain,
% 39.33/40.20      ( c_less(X0,X1,tc_nat) | ~ c_less(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3301]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20519,plain,
% 39.33/40.20      ( ~ c_less(c_Suc(X0),c_Suc(X1),tc_nat) | c_less(X0,X1,tc_nat) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20518]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3299,plain,
% 39.33/40.20      ( c_lessequals(X0,X1,tc_nat)
% 39.33/40.20      | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11967_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20514,plain,
% 39.33/40.20      ( c_lessequals(X0,X1,tc_nat)
% 39.33/40.20      | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3299]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20515,plain,
% 39.33/40.20      ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 39.33/40.20      | c_lessequals(X0,X1,tc_nat) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20514]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3297,plain,
% 39.33/40.20      ( c_less(X0,X1,tc_IntDef_Oint)
% 39.33/40.20      | ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11968_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20510,plain,
% 39.33/40.20      ( c_less(X0,X1,tc_IntDef_Oint)
% 39.33/40.20      | ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3297]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20511,plain,
% 39.33/40.20      ( ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 39.33/40.20      | c_less(X0,X1,tc_IntDef_Oint) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20510]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3295,plain,
% 39.33/40.20      ( c_less(X0,X1,tc_nat)
% 39.33/40.20      | ~ c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11969_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20506,plain,
% 39.33/40.20      ( c_less(X0,X1,tc_nat)
% 39.33/40.20      | ~ c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3295]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20507,plain,
% 39.33/40.20      ( ~ c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 39.33/40.20      | c_less(X0,X1,tc_nat) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20506]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3293,plain,
% 39.33/40.20      ( c_lessequals(X0,X1,tc_nat)
% 39.33/40.20      | ~ c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11970_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20502,plain,
% 39.33/40.20      ( c_lessequals(X0,X1,tc_nat)
% 39.33/40.20      | ~ c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3293]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20503,plain,
% 39.33/40.20      ( ~ c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 39.33/40.20      | c_lessequals(X0,X1,tc_nat) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20502]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3291,plain,
% 39.33/40.20      ( c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 39.33/40.20      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11971_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20498,plain,
% 39.33/40.20      ( c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 39.33/40.20      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3291]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20499,plain,
% 39.33/40.20      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20498]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3289,plain,
% 39.33/40.20      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 39.33/40.20      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11972_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20494,plain,
% 39.33/40.20      ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 39.33/40.20      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3289]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20495,plain,
% 39.33/40.20      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20494]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3287,plain,
% 39.33/40.20      ( c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 39.33/40.20      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11973_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20490,plain,
% 39.33/40.20      ( c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 39.33/40.20      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3287]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20491,plain,
% 39.33/40.20      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20490]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3285,plain,
% 39.33/40.20      ( c_less(c_0,X0,tc_IntDef_Oint)
% 39.33/40.20      | ~ c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X0),tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11974_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20486,plain,
% 39.33/40.20      ( c_less(c_0,X0,tc_IntDef_Oint)
% 39.33/40.20      | ~ c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X0),tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3285]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3283,plain,
% 39.33/40.20      ( 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)
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11975_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20482,plain,
% 39.33/40.20      ( 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)
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3283]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20483,plain,
% 39.33/40.20      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.20      | 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) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20482]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3281,plain,
% 39.33/40.20      ( 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)
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11976_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20478,plain,
% 39.33/40.20      ( 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)
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3281]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20479,plain,
% 39.33/40.20      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.20      | 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) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20478]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3275,plain,
% 39.33/40.20      ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 39.33/40.20      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11981_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20466,plain,
% 39.33/40.20      ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 39.33/40.20      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3275]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3268,plain,
% 39.33/40.20      ( c_less(c_Suc(X0),c_Suc(X1),tc_nat) | ~ c_less(X0,X1,tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11984_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20452,plain,
% 39.33/40.20      ( c_less(c_Suc(X0),c_Suc(X1),tc_nat) | ~ c_less(X0,X1,tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3268]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3266,plain,
% 39.33/40.20      ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 39.33/40.20      | ~ c_lessequals(X0,X1,tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11985_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20448,plain,
% 39.33/40.20      ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 39.33/40.20      | ~ c_lessequals(X0,X1,tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3266]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3264,plain,
% 39.33/40.20      ( c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 39.33/40.20      | ~ c_less(X0,X1,tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11986_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20444,plain,
% 39.33/40.20      ( c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 39.33/40.20      | ~ c_less(X0,X1,tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3264]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3262,plain,
% 39.33/40.20      ( c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 39.33/40.20      | ~ c_lessequals(X0,X1,tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11987_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20440,plain,
% 39.33/40.20      ( c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 39.33/40.20      | ~ c_lessequals(X0,X1,tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3262]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3255,plain,
% 39.33/40.20      ( c_SetInterval_OgreaterThanAtMost(X0,X1,X2) = c_emptyset
% 39.33/40.20      | ~ c_lessequals(X1,X0,X2)
% 39.33/40.20      | ~ class_Orderings_Oorder(X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11990_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20426,plain,
% 39.33/40.20      ( c_SetInterval_OgreaterThanAtMost(X0,X1,X2) = c_emptyset
% 39.33/40.20      | ~ c_lessequals(X1,X0,X2)
% 39.33/40.20      | ~ class_Orderings_Oorder(X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3255]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20427,plain,
% 39.33/40.20      ( ~ class_Orderings_Oorder(X0)
% 39.33/40.20      | ~ c_lessequals(X1,X2,X0)
% 39.33/40.20      | c_SetInterval_OgreaterThanAtMost(X2,X1,X0) = c_emptyset ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20426]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3252,plain,
% 39.33/40.20      ( c_SetInterval_OatLeastLessThan(X0,X1,X2) = c_emptyset
% 39.33/40.20      | ~ c_lessequals(X1,X0,X2)
% 39.33/40.20      | ~ class_Orderings_Oorder(X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11991_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20420,plain,
% 39.33/40.20      ( c_SetInterval_OatLeastLessThan(X0,X1,X2) = c_emptyset
% 39.33/40.20      | ~ c_lessequals(X1,X0,X2)
% 39.33/40.20      | ~ class_Orderings_Oorder(X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3252]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20421,plain,
% 39.33/40.20      ( ~ class_Orderings_Oorder(X0)
% 39.33/40.20      | ~ c_lessequals(X1,X2,X0)
% 39.33/40.20      | c_SetInterval_OatLeastLessThan(X2,X1,X0) = c_emptyset ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20420]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3249,plain,
% 39.33/40.20      ( c_SetInterval_OatLeastAtMost(X0,X1,X2) = c_emptyset
% 39.33/40.20      | ~ c_less(X1,X0,X2)
% 39.33/40.20      | ~ class_Orderings_Oorder(X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11992_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20414,plain,
% 39.33/40.20      ( c_SetInterval_OatLeastAtMost(X0,X1,X2) = c_emptyset
% 39.33/40.20      | ~ c_less(X1,X0,X2)
% 39.33/40.20      | ~ class_Orderings_Oorder(X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3249]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20415,plain,
% 39.33/40.20      ( ~ class_Orderings_Oorder(X0)
% 39.33/40.20      | ~ c_less(X1,X2,X0)
% 39.33/40.20      | c_SetInterval_OatLeastAtMost(X2,X1,X0) = c_emptyset ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20414]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3247,plain,
% 39.33/40.20      ( c_in(X0,c_uminus(X1,tc_set(X2)),X2) | c_in(X0,X1,X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11993_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20410,plain,
% 39.33/40.20      ( c_in(X0,c_uminus(X1,tc_set(X2)),X2) | c_in(X0,X1,X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3247]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3241,plain,
% 39.33/40.20      ( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 39.33/40.20      | ~ c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11998_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20398,plain,
% 39.33/40.20      ( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 39.33/40.20      | ~ c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3241]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3239,plain,
% 39.33/40.20      ( c_List_Odistinct(c_List_Otake(X0,X1,X2),X2)
% 39.33/40.20      | ~ c_List_Odistinct(X1,X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11999_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20394,plain,
% 39.33/40.20      ( c_List_Odistinct(c_List_Otake(X0,X1,X2),X2)
% 39.33/40.20      | ~ c_List_Odistinct(X1,X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3239]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3237,plain,
% 39.33/40.20      ( c_List_Odistinct(c_List_Osublist(X0,X1,X2),X2)
% 39.33/40.20      | ~ c_List_Odistinct(X0,X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12000_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20390,plain,
% 39.33/40.20      ( c_List_Odistinct(c_List_Osublist(X0,X1,X2),X2)
% 39.33/40.20      | ~ c_List_Odistinct(X0,X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3237]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3235,plain,
% 39.33/40.20      ( c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 39.33/40.20      | ~ c_List_Odistinct(X1,X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12001_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20386,plain,
% 39.33/40.20      ( c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 39.33/40.20      | ~ c_List_Odistinct(X1,X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3235]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3233,plain,
% 39.33/40.20      ( c_List_Odistinct(c_List_Oremove1(X0,X1,X2),X2)
% 39.33/40.20      | ~ c_List_Odistinct(X1,X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12002_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20382,plain,
% 39.33/40.20      ( c_List_Odistinct(c_List_Oremove1(X0,X1,X2),X2)
% 39.33/40.20      | ~ c_List_Odistinct(X1,X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3233]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3231,plain,
% 39.33/40.20      ( c_List_Odistinct(c_List_Odrop(X0,X1,X2),X2)
% 39.33/40.20      | ~ c_List_Odistinct(X1,X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12003_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20378,plain,
% 39.33/40.20      ( c_List_Odistinct(c_List_Odrop(X0,X1,X2),X2)
% 39.33/40.20      | ~ c_List_Odistinct(X1,X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3231]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3227,plain,
% 39.33/40.20      ( c_less(c_0,X0,tc_IntDef_Oint)
% 39.33/40.20      | ~ c_less(c_0,c_IntDef_Onat(X0),tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12006_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20370,plain,
% 39.33/40.20      ( c_less(c_0,X0,tc_IntDef_Oint)
% 39.33/40.20      | ~ c_less(c_0,c_IntDef_Onat(X0),tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3227]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20371,plain,
% 39.33/40.20      ( ~ c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 39.33/40.20      | c_less(c_0,X0,tc_IntDef_Oint) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20370]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3225,plain,
% 39.33/40.20      ( c_less(c_0,X0,tc_nat)
% 39.33/40.20      | ~ c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12007_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20366,plain,
% 39.33/40.20      ( c_less(c_0,X0,tc_nat)
% 39.33/40.20      | ~ c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3225]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20367,plain,
% 39.33/40.20      ( ~ c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 39.33/40.20      | c_less(c_0,X0,tc_nat) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20366]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3222,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.33/40.20      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12008_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20360,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.33/40.20      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3222]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3219,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 39.33/40.20      | c_Parity_Oeven(X0,tc_nat)
% 39.33/40.20      | c_Parity_Oeven(X1,tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12009_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20354,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 39.33/40.20      | c_Parity_Oeven(X0,tc_nat)
% 39.33/40.20      | c_Parity_Oeven(X1,tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3219]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3216,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.33/40.20      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12010_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20348,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.33/40.20      | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3216]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3214,plain,
% 39.33/40.20      ( X0 = c_Datatype_Ooption_OSome(X1,X2)
% 39.33/40.20      | ~ c_in(X1,c_Datatype_Oo2s(X0,X2),X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12011_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20344,plain,
% 39.33/40.20      ( X0 = c_Datatype_Ooption_OSome(X1,X2)
% 39.33/40.20      | ~ c_in(X1,c_Datatype_Oo2s(X0,X2),X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3214]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20345,plain,
% 39.33/40.20      ( ~ c_in(X0,c_Datatype_Oo2s(X1,X2),X2)
% 39.33/40.20      | X1 = c_Datatype_Ooption_OSome(X0,X2) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20344]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3212,plain,
% 39.33/40.20      ( c_minus(X0,c_uminus(X1,X2),X2) = c_plus(X0,X1,X2)
% 39.33/40.20      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12012_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20340,plain,
% 39.33/40.20      ( c_minus(X0,c_uminus(X1,X2),X2) = c_plus(X0,X1,X2)
% 39.33/40.20      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3212]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20341,plain,
% 39.33/40.20      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.20      | c_minus(X1,c_uminus(X2,X0),X0) = c_plus(X1,X2,X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20340]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3209,plain,
% 39.33/40.20      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 39.33/40.20      | c_Numeral_Onumber__of(X0,X1) != c_0
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12013_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20334,plain,
% 39.33/40.20      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 39.33/40.20      | c_Numeral_Onumber__of(X0,X1) != c_0
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3209]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20335,plain,
% 39.33/40.20      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.20      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 39.33/40.20      | c_Numeral_Onumber__of(X1,X0) != c_0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20334]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3207,plain,
% 39.33/40.20      ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 39.33/40.20      | c_in(c_Main_Oconcat__eq__Nil__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12014_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20330,plain,
% 39.33/40.20      ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 39.33/40.20      | c_in(c_Main_Oconcat__eq__Nil__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3207]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20331,plain,
% 39.33/40.20      ( c_in(c_Main_Oconcat__eq__Nil__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1))
% 39.33/40.20      | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20330]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3205,plain,
% 39.33/40.20      ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 39.33/40.20      | c_in(c_Main_ONil__eq__concat__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12015_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20326,plain,
% 39.33/40.20      ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 39.33/40.20      | c_in(c_Main_ONil__eq__concat__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3205]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20327,plain,
% 39.33/40.20      ( c_in(c_Main_ONil__eq__concat__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1))
% 39.33/40.20      | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20326]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3203,plain,
% 39.33/40.20      ( c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 39.33/40.20      | ~ c_less(c_0,X0,tc_IntDef_Oint) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12016_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20322,plain,
% 39.33/40.20      ( c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 39.33/40.20      | ~ c_less(c_0,X0,tc_IntDef_Oint) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3203]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3201,plain,
% 39.33/40.20      ( c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 39.33/40.20      | ~ c_less(c_0,X0,tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12017_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20318,plain,
% 39.33/40.20      ( c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 39.33/40.20      | ~ c_less(c_0,X0,tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3201]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3195,plain,
% 39.33/40.20      ( c_Divides_Oop_Amod(X0,X1,tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12019_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20306,plain,
% 39.33/40.20      ( c_Divides_Oop_Amod(X0,X1,tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3195]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20307,plain,
% 39.33/40.20      ( ~ c_less(X0,X1,tc_nat) | c_Divides_Oop_Amod(X0,X1,tc_nat) = X0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20306]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3188,plain,
% 39.33/40.20      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.33/40.20      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12022_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20292,plain,
% 39.33/40.20      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 39.33/40.20      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3188]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20293,plain,
% 39.33/40.20      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20292]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3185,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 39.33/40.20      | ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12023_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20286,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 39.33/40.20      | ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3185]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20287,plain,
% 39.33/40.20      ( ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint)
% 39.33/40.20      | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20286]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3183,plain,
% 39.33/40.20      ( c_minus(X0,X1,tc_nat) = c_0 | ~ c_lessequals(X0,X1,tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12024_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20282,plain,
% 39.33/40.20      ( c_minus(X0,X1,tc_nat) = c_0 | ~ c_lessequals(X0,X1,tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3183]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20283,plain,
% 39.33/40.20      ( ~ c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) = c_0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20282]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3181,plain,
% 39.33/40.20      ( c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) != c_0 ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12025_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20278,plain,
% 39.33/40.20      ( c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) != c_0 ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3181]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3179,plain,
% 39.33/40.20      ( c_div(X0,X1,tc_nat) = c_0 | ~ c_less(X0,X1,tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12026_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20274,plain,
% 39.33/40.20      ( c_div(X0,X1,tc_nat) = c_0 | ~ c_less(X0,X1,tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3179]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20275,plain,
% 39.33/40.20      ( ~ c_less(X0,X1,tc_nat) | c_div(X0,X1,tc_nat) = c_0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20274]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3177,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12027_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20270,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3177]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3175,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12028_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20266,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.20      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3175]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3173,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 39.33/40.20      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12029_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20262,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 39.33/40.20      | ~ c_Parity_Oeven(X1,tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3173]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3171,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 39.33/40.20      | ~ c_Parity_Oeven(X0,tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12030_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20258,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 39.33/40.20      | ~ c_Parity_Oeven(X0,tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3171]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3169,plain,
% 39.33/40.20      ( c_List_Olast(c_append(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 39.33/40.20      | X1 = c_List_Olist_ONil ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12032_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20254,plain,
% 39.33/40.20      ( c_List_Olast(c_append(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 39.33/40.20      | X1 = c_List_Olist_ONil ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3169]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3167,plain,
% 39.33/40.20      ( c_List_Olast(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 39.33/40.20      | X1 = c_List_Olist_ONil ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12033_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20250,plain,
% 39.33/40.20      ( c_List_Olast(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 39.33/40.20      | X1 = c_List_Olist_ONil ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3167]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3165,plain,
% 39.33/40.20      ( c_List_Ohd(c_append(X0,X1,X2),X2) = c_List_Ohd(X0,X2)
% 39.33/40.20      | X0 = c_List_Olist_ONil ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12034_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20246,plain,
% 39.33/40.20      ( c_List_Ohd(c_append(X0,X1,X2),X2) = c_List_Ohd(X0,X2)
% 39.33/40.20      | X0 = c_List_Olist_ONil ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3165]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3162,plain,
% 39.33/40.20      ( X0 = c_0
% 39.33/40.20      | c_LOrder_Omeet(X0,c_uminus(X0,X1),X1) != c_0
% 39.33/40.20      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12035_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20240,plain,
% 39.33/40.20      ( X0 = c_0
% 39.33/40.20      | c_LOrder_Omeet(X0,c_uminus(X0,X1),X1) != c_0
% 39.33/40.20      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3162]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20241,plain,
% 39.33/40.20      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.20      | c_LOrder_Omeet(X1,c_uminus(X1,X0),X0) != c_0
% 39.33/40.20      | X1 = c_0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20240]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3159,plain,
% 39.33/40.20      ( X0 = c_0
% 39.33/40.20      | c_LOrder_Ojoin(X0,c_uminus(X0,X1),X1) != c_0
% 39.33/40.20      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12036_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20234,plain,
% 39.33/40.20      ( X0 = c_0
% 39.33/40.20      | c_LOrder_Ojoin(X0,c_uminus(X0,X1),X1) != c_0
% 39.33/40.20      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3159]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20235,plain,
% 39.33/40.20      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.20      | c_LOrder_Ojoin(X1,c_uminus(X1,X0),X0) != c_0
% 39.33/40.20      | X1 = c_0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20234]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3157,plain,
% 39.33/40.20      ( 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)
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12039_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20230,plain,
% 39.33/40.20      ( 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)
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3157]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20231,plain,
% 39.33/40.20      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.20      | 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) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20230]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3155,plain,
% 39.33/40.20      ( c_div(X0,X0,tc_nat) = c_1 | ~ c_less(c_0,X0,tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12044_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20226,plain,
% 39.33/40.20      ( c_div(X0,X0,tc_nat) = c_1 | ~ c_less(c_0,X0,tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3155]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20227,plain,
% 39.33/40.20      ( ~ c_less(c_0,X0,tc_nat) | c_div(X0,X0,tc_nat) = c_1 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20226]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3149,plain,
% 39.33/40.20      ( X0 = c_0
% 39.33/40.20      | ~ c_lessequals(c_HOL_Oabs(X0,X1),c_0,X1)
% 39.33/40.20      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12046_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20214,plain,
% 39.33/40.20      ( X0 = c_0
% 39.33/40.20      | ~ c_lessequals(c_HOL_Oabs(X0,X1),c_0,X1)
% 39.33/40.20      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3149]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20215,plain,
% 39.33/40.20      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 39.33/40.20      | ~ c_lessequals(c_HOL_Oabs(X1,X0),c_0,X0)
% 39.33/40.20      | X1 = c_0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20214]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3146,plain,
% 39.33/40.20      ( c_divide(c_1,c_Numeral_Onumber__of(X0,X1),X1) = c_HOL_Oinverse(c_Numeral_Onumber__of(X0,X1),X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.20      | ~ class_Numeral_Onumber(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12047_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20208,plain,
% 39.33/40.20      ( c_divide(c_1,c_Numeral_Onumber__of(X0,X1),X1) = c_HOL_Oinverse(c_Numeral_Onumber__of(X0,X1),X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.20      | ~ class_Numeral_Onumber(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3146]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20209,plain,
% 39.33/40.20      ( ~ class_Numeral_Onumber(X0)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.20      | c_divide(c_1,c_Numeral_Onumber__of(X1,X0),X0) = c_HOL_Oinverse(c_Numeral_Onumber__of(X1,X0),X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20208]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3143,plain,
% 39.33/40.20      ( X0 = c_0
% 39.33/40.20      | ~ c_lessequals(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12048_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20202,plain,
% 39.33/40.20      ( X0 = c_0
% 39.33/40.20      | ~ c_lessequals(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3143]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20203,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.20      | ~ c_lessequals(c_NatArith_Oof__nat(X1,X0),c_0,X0)
% 39.33/40.20      | X1 = c_0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20202]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3141,plain,
% 39.33/40.20      ( ~ c_less(c_HOL_Oabs(X0,X1),c_0,X1)
% 39.33/40.20      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12052_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20198,plain,
% 39.33/40.20      ( ~ c_less(c_HOL_Oabs(X0,X1),c_0,X1)
% 39.33/40.20      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3141]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20199,plain,
% 39.33/40.20      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 39.33/40.20      | ~ c_less(c_HOL_Oabs(X1,X0),c_0,X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20198]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3139,plain,
% 39.33/40.20      ( ~ c_less(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12053_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20194,plain,
% 39.33/40.20      ( ~ c_less(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3139]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20195,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.20      | ~ c_less(c_NatArith_Oof__nat(X1,X0),c_0,X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20194]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3137,plain,
% 39.33/40.20      ( ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0)
% 39.33/40.20      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12056_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20190,plain,
% 39.33/40.20      ( ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0)
% 39.33/40.20      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3137]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20191,plain,
% 39.33/40.20      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 39.33/40.20      | ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20190]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3135,plain,
% 39.33/40.20      ( c_Finite__Set_OMin(c_insert(X0,c_emptyset,X1),X1) = X0
% 39.33/40.20      | ~ class_Orderings_Olinorder(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12057_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20186,plain,
% 39.33/40.20      ( c_Finite__Set_OMin(c_insert(X0,c_emptyset,X1),X1) = X0
% 39.33/40.20      | ~ class_Orderings_Olinorder(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3135]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20187,plain,
% 39.33/40.20      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.20      | c_Finite__Set_OMin(c_insert(X1,c_emptyset,X0),X0) = X1 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20186]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3133,plain,
% 39.33/40.20      ( c_Finite__Set_OMax(c_insert(X0,c_emptyset,X1),X1) = X0
% 39.33/40.20      | ~ class_Orderings_Olinorder(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12058_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20182,plain,
% 39.33/40.20      ( c_Finite__Set_OMax(c_insert(X0,c_emptyset,X1),X1) = X0
% 39.33/40.20      | ~ class_Orderings_Olinorder(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3133]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20183,plain,
% 39.33/40.20      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.20      | c_Finite__Set_OMax(c_insert(X1,c_emptyset,X0),X0) = X1 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20182]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3123,plain,
% 39.33/40.20      ( c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2) = c_0
% 39.33/40.20      | c_Numeral_Onumber__of(X1,X2) != c_0
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.33/40.20      | ~ class_Numeral_Onumber(X2) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12061_4) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20162,plain,
% 39.33/40.20      ( c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2) = c_0
% 39.33/40.20      | c_Numeral_Onumber__of(X1,X2) != c_0
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 39.33/40.20      | ~ class_Numeral_Onumber(X2) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3123]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20163,plain,
% 39.33/40.20      ( ~ class_Numeral_Onumber(X0)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.20      | c_Numeral_Onumber__of(X1,X0) != c_0
% 39.33/40.20      | c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20162]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3121,plain,
% 39.33/40.20      ( c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12062_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20158,plain,
% 39.33/40.20      ( c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3121]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3119,plain,
% 39.33/40.20      ( c_List_Ohd(c_List_Oupt(X0,X1),tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12063_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20154,plain,
% 39.33/40.20      ( c_List_Ohd(c_List_Oupt(X0,X1),tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3119]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20155,plain,
% 39.33/40.20      ( ~ c_less(X0,X1,tc_nat) | c_List_Ohd(c_List_Oupt(X0,X1),tc_nat) = X0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20154]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3117,plain,
% 39.33/40.20      ( c_List_Ohd(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12064_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20150,plain,
% 39.33/40.20      ( c_List_Ohd(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3117]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3115,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint)
% 39.33/40.20      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12067_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20146,plain,
% 39.33/40.20      ( c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint)
% 39.33/40.20      | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3115]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3112,plain,
% 39.33/40.20      ( c_divide(X0,c_0,X1) = c_divide(X2,c_0,X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12068_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20140,plain,
% 39.33/40.20      ( c_divide(X0,c_0,X1) = c_divide(X2,c_0,X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3112]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20141,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.20      | c_divide(X1,c_0,X0) = c_divide(X2,c_0,X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20140]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3109,plain,
% 39.33/40.20      ( c_divide(c_0,X0,X1) = c_divide(c_0,X2,X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12069_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20134,plain,
% 39.33/40.20      ( c_divide(c_0,X0,X1) = c_divide(c_0,X2,X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3109]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20135,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.20      | c_divide(c_0,X1,X0) = c_divide(c_0,X2,X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20134]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3097,plain,
% 39.33/40.20      ( X0 = c_emptyset
% 39.33/40.20      | c_Union(X1,X2) != c_emptyset
% 39.33/40.20      | ~ c_in(X0,X1,tc_set(X2)) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12073_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20110,plain,
% 39.33/40.20      ( X0 = c_emptyset
% 39.33/40.20      | c_Union(X1,X2) != c_emptyset
% 39.33/40.20      | ~ c_in(X0,X1,tc_set(X2)) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3097]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20111,plain,
% 39.33/40.20      ( ~ c_in(X0,X1,tc_set(X2))
% 39.33/40.20      | c_Union(X1,X2) != c_emptyset
% 39.33/40.20      | X0 = c_emptyset ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20110]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3091,plain,
% 39.33/40.20      ( X0 = c_UNIV | c_Inter(X1,X2) != c_UNIV | ~ c_in(X0,X1,tc_set(X2)) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12075_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20098,plain,
% 39.33/40.20      ( X0 = c_UNIV | c_Inter(X1,X2) != c_UNIV | ~ c_in(X0,X1,tc_set(X2)) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3091]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20099,plain,
% 39.33/40.20      ( ~ c_in(X0,X1,tc_set(X2)) | c_Inter(X1,X2) != c_UNIV | X0 = c_UNIV ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20098]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3089,plain,
% 39.33/40.20      ( c_List_Oremdups(X0,X1) = X0
% 39.33/40.20      | c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize(X0,tc_List_Olist(X1)) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12076_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20094,plain,
% 39.33/40.20      ( c_List_Oremdups(X0,X1) = X0
% 39.33/40.20      | c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize(X0,tc_List_Olist(X1)) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3089]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20095,plain,
% 39.33/40.20      ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize(X0,tc_List_Olist(X1))
% 39.33/40.20      | c_List_Oremdups(X0,X1) = X0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20094]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3086,plain,
% 39.33/40.20      ( c_HOL_Oabs(X0,X1) = c_uminus(X0,X1)
% 39.33/40.20      | ~ c_lessequals(X0,c_0,X1)
% 39.33/40.20      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12077_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20088,plain,
% 39.33/40.20      ( c_HOL_Oabs(X0,X1) = c_uminus(X0,X1)
% 39.33/40.20      | ~ c_lessequals(X0,c_0,X1)
% 39.33/40.20      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3086]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20089,plain,
% 39.33/40.20      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 39.33/40.20      | ~ c_lessequals(X1,c_0,X0)
% 39.33/40.20      | c_HOL_Oabs(X1,X0) = c_uminus(X1,X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20088]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3084,plain,
% 39.33/40.20      ( X0 = c_0 | ~ c_less(c_HOL_Oabs(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12081_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20084,plain,
% 39.33/40.20      ( X0 = c_0 | ~ c_less(c_HOL_Oabs(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3084]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20085,plain,
% 39.33/40.20      ( ~ c_less(c_HOL_Oabs(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) | X0 = c_0 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20084]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3081,plain,
% 39.33/40.20      ( X0 = c_emptyset
% 39.33/40.20      | c_Finite__Set_Ocard(X0,X1) != c_0
% 39.33/40.20      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12085_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20078,plain,
% 39.33/40.20      ( X0 = c_emptyset
% 39.33/40.20      | c_Finite__Set_Ocard(X0,X1) != c_0
% 39.33/40.20      | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3081]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20079,plain,
% 39.33/40.20      ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.33/40.20      | c_Finite__Set_Ocard(X0,X1) != c_0
% 39.33/40.20      | X0 = c_emptyset ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20078]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3077,plain,
% 39.33/40.20      ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 39.33/40.20      | c_Parity_Oeven(X1,tc_nat)
% 39.33/40.20      | ~ class_Power_Orecpower(X0)
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12086_3) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20070,plain,
% 39.33/40.20      ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 39.33/40.20      | c_Parity_Oeven(X1,tc_nat)
% 39.33/40.20      | ~ class_Power_Orecpower(X0)
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3077]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20071,plain,
% 39.33/40.20      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.20      | ~ class_Power_Orecpower(X0)
% 39.33/40.20      | c_Parity_Oeven(X1,tc_nat)
% 39.33/40.20      | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20070]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3071,plain,
% 39.33/40.20      ( c_SetInterval_OatLeastAtMost(X0,X0,X1) = c_insert(X0,c_emptyset,X1)
% 39.33/40.20      | ~ class_Orderings_Oorder(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12088_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20058,plain,
% 39.33/40.20      ( c_SetInterval_OatLeastAtMost(X0,X0,X1) = c_insert(X0,c_emptyset,X1)
% 39.33/40.20      | ~ class_Orderings_Oorder(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3071]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20059,plain,
% 39.33/40.20      ( ~ class_Orderings_Oorder(X0)
% 39.33/40.20      | c_SetInterval_OatLeastAtMost(X1,X1,X0) = c_insert(X1,c_emptyset,X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20058]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3069,plain,
% 39.33/40.20      ( c_times(X0,c_0,X1) = c_times(X2,c_0,X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12089_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20054,plain,
% 39.33/40.20      ( c_times(X0,c_0,X1) = c_times(X2,c_0,X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3069]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20055,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.20      | c_times(X1,c_0,X0) = c_times(X2,c_0,X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20054]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3067,plain,
% 39.33/40.20      ( c_times(c_0,X0,X1) = c_times(c_0,X2,X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12090_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20050,plain,
% 39.33/40.20      ( c_times(c_0,X0,X1) = c_times(c_0,X2,X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3067]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20051,plain,
% 39.33/40.20      ( ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.20      | c_times(c_0,X1,X0) = c_times(c_0,X2,X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20050]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3063,plain,
% 39.33/40.20      ( c_divide(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12091_3) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20042,plain,
% 39.33/40.20      ( c_divide(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3063]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20043,plain,
% 39.33/40.20      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.20      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.20      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.20      | c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_uminus(X1,X0) ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20042]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3059,plain,
% 39.33/40.20      ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1
% 39.33/40.20      | ~ c_Parity_Oeven(X1,tc_nat)
% 39.33/40.20      | ~ class_Power_Orecpower(X0)
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12092_3) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20034,plain,
% 39.33/40.20      ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1
% 39.33/40.20      | ~ c_Parity_Oeven(X1,tc_nat)
% 39.33/40.20      | ~ class_Power_Orecpower(X0)
% 39.33/40.20      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3059]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20035,plain,
% 39.33/40.20      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.20      | ~ class_Power_Orecpower(X0)
% 39.33/40.20      | ~ c_Parity_Oeven(X1,tc_nat)
% 39.33/40.20      | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20034]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3053,plain,
% 39.33/40.20      ( c_List_Olist_OCons(c_List_Ohd(X0,X1),c_List_Otl(X0,X1),X1) = X0
% 39.33/40.20      | X0 = c_List_Olist_ONil ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12098_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20022,plain,
% 39.33/40.20      ( c_List_Olist_OCons(c_List_Ohd(X0,X1),c_List_Otl(X0,X1),X1) = X0
% 39.33/40.20      | X0 = c_List_Olist_ONil ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3053]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3051,plain,
% 39.33/40.20      ( X0 = c_List_Olist_ONil
% 39.33/40.20      | c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12099_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20018,plain,
% 39.33/40.20      ( X0 = c_List_Olist_ONil
% 39.33/40.20      | c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3051]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20019,plain,
% 39.33/40.20      ( c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1)
% 39.33/40.20      | X0 = c_List_Olist_ONil ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20018]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3049,plain,
% 39.33/40.20      ( X0 = c_List_Olist_ONil
% 39.33/40.20      | c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12100_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20014,plain,
% 39.33/40.20      ( X0 = c_List_Olist_ONil
% 39.33/40.20      | c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3049]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20015,plain,
% 39.33/40.20      ( c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1)
% 39.33/40.20      | X0 = c_List_Olist_ONil ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20014]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3046,plain,
% 39.33/40.20      ( c_OrderedGroup_Opprt(X0,X1) = X0
% 39.33/40.20      | ~ c_lessequals(c_0,X0,X1)
% 39.33/40.20      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12101_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20008,plain,
% 39.33/40.20      ( c_OrderedGroup_Opprt(X0,X1) = X0
% 39.33/40.20      | ~ c_lessequals(c_0,X0,X1)
% 39.33/40.20      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3046]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20009,plain,
% 39.33/40.20      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.20      | ~ c_lessequals(c_0,X1,X0)
% 39.33/40.20      | c_OrderedGroup_Opprt(X1,X0) = X1 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20008]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3043,plain,
% 39.33/40.20      ( c_OrderedGroup_Onprt(X0,X1) = X0
% 39.33/40.20      | ~ c_lessequals(X0,c_0,X1)
% 39.33/40.20      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12102_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20002,plain,
% 39.33/40.20      ( c_OrderedGroup_Onprt(X0,X1) = X0
% 39.33/40.20      | ~ c_lessequals(X0,c_0,X1)
% 39.33/40.20      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3043]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_20003,plain,
% 39.33/40.20      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.20      | ~ c_lessequals(X1,c_0,X0)
% 39.33/40.20      | c_OrderedGroup_Onprt(X1,X0) = X1 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_20002]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3040,plain,
% 39.33/40.20      ( c_HOL_Oabs(X0,X1) = X0
% 39.33/40.20      | ~ c_lessequals(c_0,X0,X1)
% 39.33/40.20      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12103_2) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_19996,plain,
% 39.33/40.20      ( c_HOL_Oabs(X0,X1) = X0
% 39.33/40.20      | ~ c_lessequals(c_0,X0,X1)
% 39.33/40.20      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 39.33/40.20      inference(copy,[status(esa)],[c_3040]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_19997,plain,
% 39.33/40.20      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 39.33/40.20      | ~ c_lessequals(c_0,X1,X0)
% 39.33/40.20      | c_HOL_Oabs(X1,X0) = X1 ),
% 39.33/40.20      inference(rewriting,[status(thm)],[c_19996]) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_3038,plain,
% 39.33/40.20      ( c_plus(c_NatArith_Oof__nat(X0,X1),c_1,X1) = c_NatArith_Oof__nat(c_Suc(X0),X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 39.33/40.20      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12104_1) ).
% 39.33/40.20  
% 39.33/40.20  cnf(c_19992,plain,
% 39.33/40.20      ( c_plus(c_NatArith_Oof__nat(X0,X1),c_1,X1) = c_NatArith_Oof__nat(c_Suc(X0),X1)
% 39.33/40.20      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_3038]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19993,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.33/40.21      | c_plus(c_NatArith_Oof__nat(X1,X0),c_1,X0) = c_NatArith_Oof__nat(c_Suc(X1),X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19992]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_3035,plain,
% 39.33/40.21      ( c_OrderedGroup_Opprt(X0,X1) = c_0
% 39.33/40.21      | ~ c_lessequals(X0,c_0,X1)
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12105_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19986,plain,
% 39.33/40.21      ( c_OrderedGroup_Opprt(X0,X1) = c_0
% 39.33/40.21      | ~ c_lessequals(X0,c_0,X1)
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_3035]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19987,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.21      | ~ c_lessequals(X1,c_0,X0)
% 39.33/40.21      | c_OrderedGroup_Opprt(X1,X0) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19986]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_3032,plain,
% 39.33/40.21      ( c_OrderedGroup_Onprt(X0,X1) = c_0
% 39.33/40.21      | ~ c_lessequals(c_0,X0,X1)
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12106_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19980,plain,
% 39.33/40.21      ( c_OrderedGroup_Onprt(X0,X1) = c_0
% 39.33/40.21      | ~ c_lessequals(c_0,X0,X1)
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_3032]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19981,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.21      | ~ c_lessequals(c_0,X1,X0)
% 39.33/40.21      | c_OrderedGroup_Onprt(X1,X0) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19980]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_3030,plain,
% 39.33/40.21      ( c_Finite__Set_Ocard(c_emptyset,X0) = c_0
% 39.33/40.21      | ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12107_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19976,plain,
% 39.33/40.21      ( c_Finite__Set_Ocard(c_emptyset,X0) = c_0
% 39.33/40.21      | ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_3030]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19977,plain,
% 39.33/40.21      ( ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0))
% 39.33/40.21      | c_Finite__Set_Ocard(c_emptyset,X0) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19976]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_3027,plain,
% 39.33/40.21      ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_1
% 39.33/40.21      | c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 39.33/40.21      | ~ class_Power_Orecpower(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12108_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19970,plain,
% 39.33/40.21      ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_1
% 39.33/40.21      | c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 39.33/40.21      | ~ class_Power_Orecpower(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_3027]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19971,plain,
% 39.33/40.21      ( ~ class_Power_Orecpower(X0)
% 39.33/40.21      | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 39.33/40.21      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19970]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_3026,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.21      | c_divide(X1,X2,X0) != c_0
% 39.33/40.21      | X2 = c_0
% 39.33/40.21      | X1 = c_0 ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12109_0) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19968,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.21      | c_divide(X1,X2,X0) != c_0
% 39.33/40.21      | X2 = c_0
% 39.33/40.21      | X1 = c_0 ),
% 39.33/40.21      inference(copy,[status(esa)],[c_3026]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_3022,plain,
% 39.33/40.21      ( X0 = c_0
% 39.33/40.21      | X1 = c_0
% 39.33/40.21      | c_divide(X0,X1,X2) != c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12109_4) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19960,plain,
% 39.33/40.21      ( X0 = c_0
% 39.33/40.21      | X1 = c_0
% 39.33/40.21      | c_divide(X0,X1,X2) != c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_3022]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19961,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.21      | c_divide(X1,X2,X0) != c_0
% 39.33/40.21      | X1 = c_0
% 39.33/40.21      | X2 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19960]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_3010,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_divide(X1,X0,X2) != c_1
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12112_3) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19936,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_divide(X1,X0,X2) != c_1
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__field(X2)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_3010]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19937,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__field(X0)
% 39.33/40.21      | c_divide(X1,X2,X0) != c_1
% 39.33/40.21      | X2 = X1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19936]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_3006,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_divide(X0,X1,X2) != c_1
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12113_3) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19928,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_divide(X0,X1,X2) != c_1
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_3006]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19929,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.21      | c_divide(X1,X2,X0) != c_1
% 39.33/40.21      | X1 = X2 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19928]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_3000,plain,
% 39.33/40.21      ( c_Union(X0,X1) = c_emptyset
% 39.33/40.21      | c_in(c_Main_Oempty__Union__conv__1(X0,X1),X0,tc_set(X1)) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12118_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19916,plain,
% 39.33/40.21      ( c_Union(X0,X1) = c_emptyset
% 39.33/40.21      | c_in(c_Main_Oempty__Union__conv__1(X0,X1),X0,tc_set(X1)) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_3000]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19917,plain,
% 39.33/40.21      ( c_in(c_Main_Oempty__Union__conv__1(X0,X1),X0,tc_set(X1))
% 39.33/40.21      | c_Union(X0,X1) = c_emptyset ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19916]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2998,plain,
% 39.33/40.21      ( c_Union(X0,X1) = c_emptyset
% 39.33/40.21      | c_in(c_Main_OUnion__empty__conv__1(X0,X1),X0,tc_set(X1)) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12119_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19912,plain,
% 39.33/40.21      ( c_Union(X0,X1) = c_emptyset
% 39.33/40.21      | c_in(c_Main_OUnion__empty__conv__1(X0,X1),X0,tc_set(X1)) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2998]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19913,plain,
% 39.33/40.21      ( c_in(c_Main_OUnion__empty__conv__1(X0,X1),X0,tc_set(X1))
% 39.33/40.21      | c_Union(X0,X1) = c_emptyset ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19912]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2996,plain,
% 39.33/40.21      ( c_Inter(X0,X1) = c_UNIV
% 39.33/40.21      | c_in(c_Main_OInter__UNIV__conv__2__1(X0,X1),X0,tc_set(X1)) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12120_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19908,plain,
% 39.33/40.21      ( c_Inter(X0,X1) = c_UNIV
% 39.33/40.21      | c_in(c_Main_OInter__UNIV__conv__2__1(X0,X1),X0,tc_set(X1)) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2996]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19909,plain,
% 39.33/40.21      ( c_in(c_Main_OInter__UNIV__conv__2__1(X0,X1),X0,tc_set(X1))
% 39.33/40.21      | c_Inter(X0,X1) = c_UNIV ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19908]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2994,plain,
% 39.33/40.21      ( c_Inter(X0,X1) = c_UNIV
% 39.33/40.21      | c_in(c_Main_OInter__UNIV__conv__1__1(X0,X1),X0,tc_set(X1)) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12121_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19904,plain,
% 39.33/40.21      ( c_Inter(X0,X1) = c_UNIV
% 39.33/40.21      | c_in(c_Main_OInter__UNIV__conv__1__1(X0,X1),X0,tc_set(X1)) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2994]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19905,plain,
% 39.33/40.21      ( c_in(c_Main_OInter__UNIV__conv__1__1(X0,X1),X0,tc_set(X1))
% 39.33/40.21      | c_Inter(X0,X1) = c_UNIV ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19904]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2992,plain,
% 39.33/40.21      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.21      | c_IntDef_Oint(X1) != c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12122_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19900,plain,
% 39.33/40.21      ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.21      | c_IntDef_Oint(X1) != c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2992]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2989,plain,
% 39.33/40.21      ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 39.33/40.21      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.21      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12123_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19894,plain,
% 39.33/40.21      ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 39.33/40.21      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.21      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2989]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19895,plain,
% 39.33/40.21      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.21      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.21      | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19894]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2973,plain,
% 39.33/40.21      ( X0 = c_0
% 39.33/40.21      | c_divide(c_1,X0,X1) != c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12127_3) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19862,plain,
% 39.33/40.21      ( X0 = c_0
% 39.33/40.21      | c_divide(c_1,X0,X1) != c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2973]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19863,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__field(X0)
% 39.33/40.21      | c_divide(c_1,X1,X0) != c_0
% 39.33/40.21      | X1 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19862]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2971,plain,
% 39.33/40.21      ( c_times(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 39.33/40.21      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12128_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19858,plain,
% 39.33/40.21      ( c_times(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 39.33/40.21      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2971]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19859,plain,
% 39.33/40.21      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.21      | c_times(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_uminus(X1,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19858]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2969,plain,
% 39.33/40.21      ( c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(X1,X0)
% 39.33/40.21      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12129_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19854,plain,
% 39.33/40.21      ( c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(X1,X0)
% 39.33/40.21      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2969]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19855,plain,
% 39.33/40.21      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.21      | c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(X1,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19854]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2967,plain,
% 39.33/40.21      ( c_List_Oupt(X0,X1) = c_List_Olist_ONil | ~ c_lessequals(X1,X0,tc_nat) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12131_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19850,plain,
% 39.33/40.21      ( c_List_Oupt(X0,X1) = c_List_Olist_ONil | ~ c_lessequals(X1,X0,tc_nat) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2967]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19851,plain,
% 39.33/40.21      ( ~ c_lessequals(X0,X1,tc_nat) | c_List_Oupt(X1,X0) = c_List_Olist_ONil ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19850]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2961,plain,
% 39.33/40.21      ( c_divide(X0,c_0,X1) != c_1
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12133_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19838,plain,
% 39.33/40.21      ( c_divide(X0,c_0,X1) != c_1
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2961]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19839,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__field(X0)
% 39.33/40.21      | c_divide(X1,c_0,X0) != c_1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19838]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2953,plain,
% 39.33/40.21      ( X0 = c_1
% 39.33/40.21      | X1 = c_0
% 39.33/40.21      | c_times(X0,X1,X2) != X1
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12135_3) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19822,plain,
% 39.33/40.21      ( X0 = c_1
% 39.33/40.21      | X1 = c_0
% 39.33/40.21      | c_times(X0,X1,X2) != X1
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2953]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19823,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.21      | c_times(X1,X2,X0) != X2
% 39.33/40.21      | X1 = c_1
% 39.33/40.21      | X2 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19822]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2945,plain,
% 39.33/40.21      ( X0 = c_1
% 39.33/40.21      | X1 = c_0
% 39.33/40.21      | c_times(X1,X0,X2) != X1
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12137_3) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19806,plain,
% 39.33/40.21      ( X0 = c_1
% 39.33/40.21      | X1 = c_0
% 39.33/40.21      | c_times(X1,X0,X2) != X1
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2945]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19807,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.21      | c_times(X1,X2,X0) != X1
% 39.33/40.21      | X2 = c_1
% 39.33/40.21      | X1 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19806]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2944,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.33/40.21      | c_times(X1,X2,X0) != c_0
% 39.33/40.21      | X2 = c_0
% 39.33/40.21      | X1 = c_0 ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12138_0) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19804,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.33/40.21      | c_times(X1,X2,X0) != c_0
% 39.33/40.21      | X2 = c_0
% 39.33/40.21      | X1 = c_0 ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2944]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2941,plain,
% 39.33/40.21      ( X0 = c_0
% 39.33/40.21      | X1 = c_0
% 39.33/40.21      | c_times(X0,X1,X2) != c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12138_3) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19798,plain,
% 39.33/40.21      ( X0 = c_0
% 39.33/40.21      | X1 = c_0
% 39.33/40.21      | c_times(X0,X1,X2) != c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2941]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19799,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.33/40.21      | c_times(X1,X2,X0) != c_0
% 39.33/40.21      | X1 = c_0
% 39.33/40.21      | X2 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19798]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2938,plain,
% 39.33/40.21      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.33/40.21      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 39.33/40.21      | ~ class_Power_Orecpower(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12139_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19792,plain,
% 39.33/40.21      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.33/40.21      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 39.33/40.21      | ~ class_Power_Orecpower(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2938]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19793,plain,
% 39.33/40.21      ( ~ class_Power_Orecpower(X0)
% 39.33/40.21      | c_Numeral_Onumber__of(X1,tc_nat) = c_0
% 39.33/40.21      | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19792]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2935,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_minus(X0,X1,X2) != c_0
% 39.33/40.21      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12141_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19786,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_minus(X0,X1,X2) != c_0
% 39.33/40.21      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2935]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19787,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.21      | c_minus(X1,X2,X0) != c_0
% 39.33/40.21      | X1 = X2 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19786]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2933,plain,
% 39.33/40.21      ( X0 = c_emptyset | ~ c_lessequals(X0,c_emptyset,tc_set(X1)) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12142_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19782,plain,
% 39.33/40.21      ( X0 = c_emptyset | ~ c_lessequals(X0,c_emptyset,tc_set(X1)) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2933]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19783,plain,
% 39.33/40.21      ( ~ c_lessequals(X0,c_emptyset,tc_set(X1)) | X0 = c_emptyset ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19782]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2930,plain,
% 39.33/40.21      ( c_HOL_Oinverse(c_uminus(X0,X1),X1) = c_uminus(c_HOL_Oinverse(X0,X1),X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12145_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19776,plain,
% 39.33/40.21      ( c_HOL_Oinverse(c_uminus(X0,X1),X1) = c_uminus(c_HOL_Oinverse(X0,X1),X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2930]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19777,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.21      | c_HOL_Oinverse(c_uminus(X1,X0),X0) = c_uminus(c_HOL_Oinverse(X1,X0),X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19776]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2927,plain,
% 39.33/40.21      ( c_HOL_Oinverse(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(c_HOL_Oinverse(X0,X1),X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12146_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19770,plain,
% 39.33/40.21      ( c_HOL_Oinverse(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(c_HOL_Oinverse(X0,X1),X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2927]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19771,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__field(X0)
% 39.33/40.21      | c_HOL_Oinverse(c_HOL_Oabs(X1,X0),X0) = c_HOL_Oabs(c_HOL_Oinverse(X1,X0),X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19770]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2924,plain,
% 39.33/40.21      ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_Numeral_Onumber__of(X0,X1)
% 39.33/40.21      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.21      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12147_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19764,plain,
% 39.33/40.21      ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_Numeral_Onumber__of(X0,X1)
% 39.33/40.21      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.21      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2924]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19765,plain,
% 39.33/40.21      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.21      | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.21      | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19764]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2922,plain,
% 39.33/40.21      ( ~ c_less(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12149_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19760,plain,
% 39.33/40.21      ( ~ c_less(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2922]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19761,plain,
% 39.33/40.21      ( ~ class_Orderings_Oorder(X0) | ~ c_less(X1,X1,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19760]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2920,plain,
% 39.33/40.21      ( c_IntDef_Oint(c_IntDef_Onat(X0)) = X0
% 39.33/40.21      | ~ c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12153_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19756,plain,
% 39.33/40.21      ( c_IntDef_Oint(c_IntDef_Onat(X0)) = X0
% 39.33/40.21      | ~ c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2920]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19757,plain,
% 39.33/40.21      ( ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 39.33/40.21      | c_IntDef_Oint(c_IntDef_Onat(X0)) = X0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19756]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2918,plain,
% 39.33/40.21      ( X0 = c_0 | ~ c_lessequals(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12154_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19752,plain,
% 39.33/40.21      ( X0 = c_0 | ~ c_lessequals(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2918]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19753,plain,
% 39.33/40.21      ( ~ c_lessequals(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) | X0 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19752]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2910,plain,
% 39.33/40.21      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.21      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.21      | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12157_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19736,plain,
% 39.33/40.21      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.21      | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.21      | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2910]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2908,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil
% 39.33/40.21      | c_less(c_0,c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12158_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19732,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil
% 39.33/40.21      | c_less(c_0,c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2908]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19733,plain,
% 39.33/40.21      ( c_less(c_0,c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat)
% 39.33/40.21      | X0 = c_List_Olist_ONil ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19732]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2906,plain,
% 39.33/40.21      ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) = c_Nat_Osize(X0,tc_List_Olist(X1))
% 39.33/40.21      | c_List_Oremdups(X0,X1) != X0 ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12160_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19728,plain,
% 39.33/40.21      ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) = c_Nat_Osize(X0,tc_List_Olist(X1))
% 39.33/40.21      | c_List_Oremdups(X0,X1) != X0 ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2906]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2901,plain,
% 39.33/40.21      ( c_times(X0,c_HOL_Oinverse(X0,X1),X1) = c_1
% 39.33/40.21      | X0 = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12162_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19718,plain,
% 39.33/40.21      ( c_times(X0,c_HOL_Oinverse(X0,X1),X1) = c_1
% 39.33/40.21      | X0 = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2901]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19719,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.21      | c_times(X1,c_HOL_Oinverse(X1,X0),X0) = c_1
% 39.33/40.21      | X1 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19718]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2898,plain,
% 39.33/40.21      ( c_times(c_HOL_Oinverse(X0,X1),X0,X1) = c_1
% 39.33/40.21      | X0 = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12163_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19712,plain,
% 39.33/40.21      ( c_times(c_HOL_Oinverse(X0,X1),X0,X1) = c_1
% 39.33/40.21      | X0 = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2898]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19713,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.21      | c_times(c_HOL_Oinverse(X1,X0),X1,X0) = c_1
% 39.33/40.21      | X1 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19712]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2895,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil
% 39.33/40.21      | X1 = c_0
% 39.33/40.21      | c_List_Otake(X1,X0,X2) != c_List_Olist_ONil ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12164_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19706,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil
% 39.33/40.21      | X1 = c_0
% 39.33/40.21      | c_List_Otake(X1,X0,X2) != c_List_Olist_ONil ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2895]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19707,plain,
% 39.33/40.21      ( c_List_Otake(X0,X1,X2) != c_List_Olist_ONil
% 39.33/40.21      | X0 = c_0
% 39.33/40.21      | X1 = c_List_Olist_ONil ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19706]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2881,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != X1 ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12171_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19678,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != X1 ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2881]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19679,plain,
% 39.33/40.21      ( c_append(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19678]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2879,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != X1 ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12172_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19674,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != X1 ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2879]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19675,plain,
% 39.33/40.21      ( c_append(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19674]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2877,plain,
% 39.33/40.21      ( ~ c_less(c_1,c_0,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12173_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19670,plain,
% 39.33/40.21      ( ~ c_less(c_1,c_0,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2877]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19671,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | ~ c_less(c_1,c_0,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19670]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2875,plain,
% 39.33/40.21      ( ~ c_lessequals(c_1,c_0,X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12174_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19666,plain,
% 39.33/40.21      ( ~ c_lessequals(c_1,c_0,X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2875]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19667,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.21      | ~ c_lessequals(c_1,c_0,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19666]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2872,plain,
% 39.33/40.21      ( X0 = c_0
% 39.33/40.21      | c_less(c_0,c_HOL_Oabs(X0,X1),X1)
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12175_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19660,plain,
% 39.33/40.21      ( X0 = c_0
% 39.33/40.21      | c_less(c_0,c_HOL_Oabs(X0,X1),X1)
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2872]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19661,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 39.33/40.21      | c_less(c_0,c_HOL_Oabs(X1,X0),X0)
% 39.33/40.21      | X1 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19660]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2870,plain,
% 39.33/40.21      ( c_plus(X0,c_uminus(X0,X1),X1) = c_0
% 39.33/40.21      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12176_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19656,plain,
% 39.33/40.21      ( c_plus(X0,c_uminus(X0,X1),X1) = c_0
% 39.33/40.21      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2870]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19657,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.21      | c_plus(X1,c_uminus(X1,X0),X0) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19656]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2868,plain,
% 39.33/40.21      ( c_plus(c_uminus(X0,X1),X0,X1) = c_0
% 39.33/40.21      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12177_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19652,plain,
% 39.33/40.21      ( c_plus(c_uminus(X0,X1),X0,X1) = c_0
% 39.33/40.21      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2868]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19653,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.21      | c_plus(c_uminus(X1,X0),X1,X0) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19652]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2866,plain,
% 39.33/40.21      ( X0 = c_emptyset | c_union(X1,X0,X2) != c_emptyset ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12178_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19648,plain,
% 39.33/40.21      ( X0 = c_emptyset | c_union(X1,X0,X2) != c_emptyset ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2866]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19649,plain,
% 39.33/40.21      ( c_union(X0,X1,X2) != c_emptyset | X1 = c_emptyset ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19648]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2864,plain,
% 39.33/40.21      ( X0 = c_emptyset | c_union(X0,X1,X2) != c_emptyset ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12179_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19644,plain,
% 39.33/40.21      ( X0 = c_emptyset | c_union(X0,X1,X2) != c_emptyset ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2864]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19645,plain,
% 39.33/40.21      ( c_union(X0,X1,X2) != c_emptyset | X0 = c_emptyset ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19644]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2862,plain,
% 39.33/40.21      ( X0 = c_UNIV | c_inter(X1,X0,X2) != c_UNIV ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12180_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19640,plain,
% 39.33/40.21      ( X0 = c_UNIV | c_inter(X1,X0,X2) != c_UNIV ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2862]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19641,plain,
% 39.33/40.21      ( c_inter(X0,X1,X2) != c_UNIV | X1 = c_UNIV ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19640]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2860,plain,
% 39.33/40.21      ( X0 = c_UNIV | c_inter(X0,X1,X2) != c_UNIV ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12181_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19636,plain,
% 39.33/40.21      ( X0 = c_UNIV | c_inter(X0,X1,X2) != c_UNIV ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2860]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19637,plain,
% 39.33/40.21      ( c_inter(X0,X1,X2) != c_UNIV | X0 = c_UNIV ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19636]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2858,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil
% 39.33/40.21      | c_List_Orotate(X1,X0,X2) != c_List_Olist_ONil ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12182_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19632,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil
% 39.33/40.21      | c_List_Orotate(X1,X0,X2) != c_List_Olist_ONil ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2858]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19633,plain,
% 39.33/40.21      ( c_List_Orotate(X0,X1,X2) != c_List_Olist_ONil
% 39.33/40.21      | X1 = c_List_Olist_ONil ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19632]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2852,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != c_List_Olist_ONil ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12185_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19620,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != c_List_Olist_ONil ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2852]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19621,plain,
% 39.33/40.21      ( c_append(X0,X1,X2) != c_List_Olist_ONil | X1 = c_List_Olist_ONil ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19620]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2850,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != c_List_Olist_ONil ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12186_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19616,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != c_List_Olist_ONil ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2850]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19617,plain,
% 39.33/40.21      ( c_append(X0,X1,X2) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19616]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2846,plain,
% 39.33/40.21      ( X0 = c_emptyset
% 39.33/40.21      | c_Equiv__Relations_Oquotient(X0,X1,X2) != c_emptyset ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12188_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19608,plain,
% 39.33/40.21      ( X0 = c_emptyset
% 39.33/40.21      | c_Equiv__Relations_Oquotient(X0,X1,X2) != c_emptyset ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2846]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19609,plain,
% 39.33/40.21      ( c_Equiv__Relations_Oquotient(X0,X1,X2) != c_emptyset
% 39.33/40.21      | X0 = c_emptyset ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19608]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2845,plain,
% 39.33/40.21      ( c_times(X0,X1,tc_nat) != c_0 | X1 = c_0 | X0 = c_0 ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12191_0) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19606,plain,
% 39.33/40.21      ( c_times(X0,X1,tc_nat) != c_0 | X1 = c_0 | X0 = c_0 ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2845]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2843,plain,
% 39.33/40.21      ( X0 = c_0 | X1 = c_0 | c_times(X0,X1,tc_nat) != c_0 ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12191_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19602,plain,
% 39.33/40.21      ( X0 = c_0 | X1 = c_0 | c_times(X0,X1,tc_nat) != c_0 ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2843]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19603,plain,
% 39.33/40.21      ( c_times(X0,X1,tc_nat) != c_0 | X0 = c_0 | X1 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19602]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2841,plain,
% 39.33/40.21      ( c_lessequals(c_0,c_OrderedGroup_Opprt(X0,X1),X1)
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12192_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19598,plain,
% 39.33/40.21      ( c_lessequals(c_0,c_OrderedGroup_Opprt(X0,X1),X1)
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2841]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19599,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.21      | c_lessequals(c_0,c_OrderedGroup_Opprt(X1,X0),X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19598]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2839,plain,
% 39.33/40.21      ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_0,X1)
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12193_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19594,plain,
% 39.33/40.21      ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_0,X1)
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2839]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19595,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.21      | c_lessequals(c_OrderedGroup_Onprt(X1,X0),c_0,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19594]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2837,plain,
% 39.33/40.21      ( c_lessequals(c_0,c_HOL_Oabs(X0,X1),X1)
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12194_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19590,plain,
% 39.33/40.21      ( c_lessequals(c_0,c_HOL_Oabs(X0,X1),X1)
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2837]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19591,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 39.33/40.21      | c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19590]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2835,plain,
% 39.33/40.21      ( c_lessequals(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12195_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19586,plain,
% 39.33/40.21      ( c_lessequals(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2835]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19587,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.21      | c_lessequals(c_0,c_NatArith_Oof__nat(X1,X0),X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19586]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2833,plain,
% 39.33/40.21      ( c_in(c_NatArith_Oof__nat(X0,X1),c_IntDef_ONats,X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12196_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19582,plain,
% 39.33/40.21      ( c_in(c_NatArith_Oof__nat(X0,X1),c_IntDef_ONats,X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2833]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19583,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.33/40.21      | c_in(c_NatArith_Oof__nat(X1,X0),c_IntDef_ONats,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19582]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2831,plain,
% 39.33/40.21      ( c_IntDef_Onat(X0) = c_0 | ~ c_lessequals(X0,c_0,tc_IntDef_Oint) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12202_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19578,plain,
% 39.33/40.21      ( c_IntDef_Onat(X0) = c_0 | ~ c_lessequals(X0,c_0,tc_IntDef_Oint) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2831]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19579,plain,
% 39.33/40.21      ( ~ c_lessequals(X0,c_0,tc_IntDef_Oint) | c_IntDef_Onat(X0) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19578]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2829,plain,
% 39.33/40.21      ( X0 = c_0 | c_plus(X1,X0,tc_nat) != c_0 ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12203_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19574,plain,
% 39.33/40.21      ( X0 = c_0 | c_plus(X1,X0,tc_nat) != c_0 ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2829]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19575,plain,
% 39.33/40.21      ( c_plus(X0,X1,tc_nat) != c_0 | X1 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19574]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2827,plain,
% 39.33/40.21      ( X0 = c_0 | c_plus(X0,X1,tc_nat) != c_0 ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12204_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19570,plain,
% 39.33/40.21      ( X0 = c_0 | c_plus(X0,X1,tc_nat) != c_0 ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2827]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19571,plain,
% 39.33/40.21      ( c_plus(X0,X1,tc_nat) != c_0 | X0 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19570]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2825,plain,
% 39.33/40.21      ( c_IntDef_Oof__int(c_uminus(X0,tc_IntDef_Oint),X1) = c_uminus(c_IntDef_Oof__int(X0,X1),X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12208_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19566,plain,
% 39.33/40.21      ( c_IntDef_Oof__int(c_uminus(X0,tc_IntDef_Oint),X1) = c_uminus(c_IntDef_Oof__int(X0,X1),X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2825]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19567,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.33/40.21      | c_IntDef_Oof__int(c_uminus(X1,tc_IntDef_Oint),X0) = c_uminus(c_IntDef_Oof__int(X1,X0),X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19566]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2823,plain,
% 39.33/40.21      ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_0
% 39.33/40.21      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12212_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19562,plain,
% 39.33/40.21      ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_0
% 39.33/40.21      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2823]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19563,plain,
% 39.33/40.21      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.21      | c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19562]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2821,plain,
% 39.33/40.21      ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_1
% 39.33/40.21      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12213_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19558,plain,
% 39.33/40.21      ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_1
% 39.33/40.21      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2821]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19559,plain,
% 39.33/40.21      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.21      | c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19558]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2819,plain,
% 39.33/40.21      ( c_LOrder_Omeet(c_0,c_uminus(c_0,X0),X0) = c_0
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12214_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19554,plain,
% 39.33/40.21      ( c_LOrder_Omeet(c_0,c_uminus(c_0,X0),X0) = c_0
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2819]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19555,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.21      | c_LOrder_Omeet(c_0,c_uminus(c_0,X0),X0) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19554]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2817,plain,
% 39.33/40.21      ( c_LOrder_Ojoin(c_0,c_uminus(c_0,X0),X0) = c_0
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12215_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19550,plain,
% 39.33/40.21      ( c_LOrder_Ojoin(c_0,c_uminus(c_0,X0),X0) = c_0
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2817]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19551,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.21      | c_LOrder_Ojoin(c_0,c_uminus(c_0,X0),X0) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19550]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2815,plain,
% 39.33/40.21      ( c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0)
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12216_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19546,plain,
% 39.33/40.21      ( c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0)
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2815]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19547,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 39.33/40.21      | c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19546]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2813,plain,
% 39.33/40.21      ( c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12217_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19542,plain,
% 39.33/40.21      ( c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2813]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19543,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.21      | c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19542]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2811,plain,
% 39.33/40.21      ( X0 = c_0 | ~ c_less(X0,c_1,tc_nat) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12218_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19538,plain,
% 39.33/40.21      ( X0 = c_0 | ~ c_less(X0,c_1,tc_nat) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2811]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19539,plain,
% 39.33/40.21      ( ~ c_less(X0,c_1,tc_nat) | X0 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19538]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2809,plain,
% 39.33/40.21      ( X0 = c_0 | ~ c_lessequals(X0,c_0,tc_nat) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12219_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19534,plain,
% 39.33/40.21      ( X0 = c_0 | ~ c_lessequals(X0,c_0,tc_nat) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2809]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19535,plain,
% 39.33/40.21      ( ~ c_lessequals(X0,c_0,tc_nat) | X0 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19534]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2807,plain,
% 39.33/40.21      ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12220_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19530,plain,
% 39.33/40.21      ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2807]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19531,plain,
% 39.33/40.21      ( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint) | X0 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19530]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2805,plain,
% 39.33/40.21      ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_nat) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12221_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19526,plain,
% 39.33/40.21      ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_nat) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2805]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19527,plain,
% 39.33/40.21      ( ~ c_Divides_Oop_Advd(c_0,X0,tc_nat) | X0 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19526]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2803,plain,
% 39.33/40.21      ( X0 = c_emptyset | c_in(c_Main_Oall__not__in__conv__1(X0,X1),X0,X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12222_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19522,plain,
% 39.33/40.21      ( X0 = c_emptyset | c_in(c_Main_Oall__not__in__conv__1(X0,X1),X0,X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2803]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19523,plain,
% 39.33/40.21      ( c_in(c_Main_Oall__not__in__conv__1(X0,X1),X0,X1) | X0 = c_emptyset ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19522]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2801,plain,
% 39.33/40.21      ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X0),tc_nat)
% 39.33/40.21      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12225_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19518,plain,
% 39.33/40.21      ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X0),tc_nat)
% 39.33/40.21      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2801]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19519,plain,
% 39.33/40.21      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.21      | c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X0),tc_nat) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19518]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2799,plain,
% 39.33/40.21      ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12232_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19514,plain,
% 39.33/40.21      ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2799]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19515,plain,
% 39.33/40.21      ( ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) | c_List_Odistinct(X0,X1) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19514]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2797,plain,
% 39.33/40.21      ( c_List_Odistinct(X0,X1)
% 39.33/40.21      | ~ c_List_Odistinct(c_List_Orotate1(X0,X1),X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12233_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19510,plain,
% 39.33/40.21      ( c_List_Odistinct(X0,X1)
% 39.33/40.21      | ~ c_List_Odistinct(c_List_Orotate1(X0,X1),X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2797]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19511,plain,
% 39.33/40.21      ( ~ c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 39.33/40.21      | c_List_Odistinct(X0,X1) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19510]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2792,plain,
% 39.33/40.21      ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 39.33/40.21      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12236_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19500,plain,
% 39.33/40.21      ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 39.33/40.21      | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2792]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19501,plain,
% 39.33/40.21      ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.21      | c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19500]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2790,plain,
% 39.33/40.21      ( c_minus(c_0,X0,X1) = c_uminus(X0,X1)
% 39.33/40.21      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12237_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19496,plain,
% 39.33/40.21      ( c_minus(c_0,X0,X1) = c_uminus(X0,X1)
% 39.33/40.21      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2790]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19497,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.21      | c_minus(c_0,X1,X0) = c_uminus(X1,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19496]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2788,plain,
% 39.33/40.21      ( c_List_Oupt(X0,c_Suc(X1)) = c_List_Olist_ONil
% 39.33/40.21      | c_lessequals(X0,X1,tc_nat) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12238_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19492,plain,
% 39.33/40.21      ( c_List_Oupt(X0,c_Suc(X1)) = c_List_Olist_ONil
% 39.33/40.21      | c_lessequals(X0,X1,tc_nat) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2788]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19493,plain,
% 39.33/40.21      ( c_lessequals(X0,X1,tc_nat)
% 39.33/40.21      | c_List_Oupt(X0,c_Suc(X1)) = c_List_Olist_ONil ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19492]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2786,plain,
% 39.33/40.21      ( c_Finite__Set_Ocard(X0,X1) = c_0
% 39.33/40.21      | c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12239_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19488,plain,
% 39.33/40.21      ( c_Finite__Set_Ocard(X0,X1) = c_0
% 39.33/40.21      | c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2786]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19489,plain,
% 39.33/40.21      ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 39.33/40.21      | c_Finite__Set_Ocard(X0,X1) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19488]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2775,plain,
% 39.33/40.21      ( c_divide(X0,X0,X1) = c_1
% 39.33/40.21      | X0 = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12245_3) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19466,plain,
% 39.33/40.21      ( c_divide(X0,X0,X1) = c_1
% 39.33/40.21      | X0 = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__field(X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2775]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19467,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__field(X0)
% 39.33/40.21      | c_divide(X1,X1,X0) = c_1
% 39.33/40.21      | X1 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19466]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2773,plain,
% 39.33/40.21      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.33/40.21      | ~ c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12248_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19462,plain,
% 39.33/40.21      ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 39.33/40.21      | ~ c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2773]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19463,plain,
% 39.33/40.21      ( ~ c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.21      | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19462]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2767,plain,
% 39.33/40.21      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.33/40.21      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12251_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19450,plain,
% 39.33/40.21      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.33/40.21      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2767]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19451,plain,
% 39.33/40.21      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.21      | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19450]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2765,plain,
% 39.33/40.21      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.33/40.21      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12252_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19446,plain,
% 39.33/40.21      ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 39.33/40.21      | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2765]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19447,plain,
% 39.33/40.21      ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.21      | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19446]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2763,plain,
% 39.33/40.21      ( c_Wellfounded__Recursion_Owf(c_List_Olex(X0,X1),tc_List_Olist(X1))
% 39.33/40.21      | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12253_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19442,plain,
% 39.33/40.21      ( c_Wellfounded__Recursion_Owf(c_List_Olex(X0,X1),tc_List_Olist(X1))
% 39.33/40.21      | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2763]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2761,plain,
% 39.33/40.21      ( c_Wellfounded__Recursion_Owf(c_List_Olenlex(X0,X1),tc_List_Olist(X1))
% 39.33/40.21      | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12254_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19438,plain,
% 39.33/40.21      ( c_Wellfounded__Recursion_Owf(c_List_Olenlex(X0,X1),tc_List_Olist(X1))
% 39.33/40.21      | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2761]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2758,plain,
% 39.33/40.21      ( c_divide(X0,c_0,X1) = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12256_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19432,plain,
% 39.33/40.21      ( c_divide(X0,c_0,X1) = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2758]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19433,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.21      | c_divide(X1,c_0,X0) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19432]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2755,plain,
% 39.33/40.21      ( c_divide(c_0,X0,X1) = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12257_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19426,plain,
% 39.33/40.21      ( c_divide(c_0,X0,X1) = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2755]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19427,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.21      | c_divide(c_0,X1,X0) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19426]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2753,plain,
% 39.33/40.21      ( c_uminus(c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_SetInterval_OatLeast(X0,X1)
% 39.33/40.21      | ~ class_Orderings_Olinorder(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12258_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19422,plain,
% 39.33/40.21      ( c_uminus(c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_SetInterval_OatLeast(X0,X1)
% 39.33/40.21      | ~ class_Orderings_Olinorder(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2753]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19423,plain,
% 39.33/40.21      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.21      | c_uminus(c_SetInterval_OlessThan(X1,X0),tc_set(X0)) = c_SetInterval_OatLeast(X1,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19422]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2751,plain,
% 39.33/40.21      ( c_uminus(c_SetInterval_OgreaterThan(X0,X1),tc_set(X1)) = c_SetInterval_OatMost(X0,X1)
% 39.33/40.21      | ~ class_Orderings_Olinorder(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12259_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19418,plain,
% 39.33/40.21      ( c_uminus(c_SetInterval_OgreaterThan(X0,X1),tc_set(X1)) = c_SetInterval_OatMost(X0,X1)
% 39.33/40.21      | ~ class_Orderings_Olinorder(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2751]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19419,plain,
% 39.33/40.21      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.21      | c_uminus(c_SetInterval_OgreaterThan(X1,X0),tc_set(X0)) = c_SetInterval_OatMost(X1,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19418]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2749,plain,
% 39.33/40.21      ( c_uminus(c_SetInterval_OatMost(X0,X1),tc_set(X1)) = c_SetInterval_OgreaterThan(X0,X1)
% 39.33/40.21      | ~ class_Orderings_Olinorder(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12260_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19414,plain,
% 39.33/40.21      ( c_uminus(c_SetInterval_OatMost(X0,X1),tc_set(X1)) = c_SetInterval_OgreaterThan(X0,X1)
% 39.33/40.21      | ~ class_Orderings_Olinorder(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2749]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19415,plain,
% 39.33/40.21      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.21      | c_uminus(c_SetInterval_OatMost(X1,X0),tc_set(X0)) = c_SetInterval_OgreaterThan(X1,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19414]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2747,plain,
% 39.33/40.21      ( c_uminus(c_SetInterval_OatLeast(X0,X1),tc_set(X1)) = c_SetInterval_OlessThan(X0,X1)
% 39.33/40.21      | ~ class_Orderings_Olinorder(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12261_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19410,plain,
% 39.33/40.21      ( c_uminus(c_SetInterval_OatLeast(X0,X1),tc_set(X1)) = c_SetInterval_OlessThan(X0,X1)
% 39.33/40.21      | ~ class_Orderings_Olinorder(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2747]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19411,plain,
% 39.33/40.21      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.21      | c_uminus(c_SetInterval_OatLeast(X1,X0),tc_set(X0)) = c_SetInterval_OlessThan(X1,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19410]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2745,plain,
% 39.33/40.21      ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),X1)
% 39.33/40.21      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12262_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19406,plain,
% 39.33/40.21      ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),X1)
% 39.33/40.21      | ~ class_Numeral_Onumber__ring(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2745]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19407,plain,
% 39.33/40.21      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.21      | c_uminus(c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19406]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2743,plain,
% 39.33/40.21      ( c_Nat_Opower(c_0,c_Suc(X0),X1) = c_0 | ~ class_Power_Orecpower(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12263_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19402,plain,
% 39.33/40.21      ( c_Nat_Opower(c_0,c_Suc(X0),X1) = c_0 | ~ class_Power_Orecpower(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2743]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19403,plain,
% 39.33/40.21      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(c_0,c_Suc(X1),X0) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19402]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2737,plain,
% 39.33/40.21      ( c_divide(c_1,c_0,X0) = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__field(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12267_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19390,plain,
% 39.33/40.21      ( c_divide(c_1,c_0,X0) = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__field(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2737]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19391,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__field(X0)
% 39.33/40.21      | c_divide(c_1,c_0,X0) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19390]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2734,plain,
% 39.33/40.21      ( c_divide(c_0,c_0,X0) = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12268_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19384,plain,
% 39.33/40.21      ( c_divide(c_0,c_0,X0) = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2734]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19385,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.21      | c_divide(c_0,c_0,X0) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19384]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2732,plain,
% 39.33/40.21      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 39.33/40.21      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12269_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19380,plain,
% 39.33/40.21      ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 39.33/40.21      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2732]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19381,plain,
% 39.33/40.21      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.21      | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19380]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2730,plain,
% 39.33/40.21      ( X0 = X1 | c_uminus(X0,tc_set(X2)) != c_uminus(X1,tc_set(X2)) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12270_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19376,plain,
% 39.33/40.21      ( X0 = X1 | c_uminus(X0,tc_set(X2)) != c_uminus(X1,tc_set(X2)) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2730]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19377,plain,
% 39.33/40.21      ( c_uminus(X0,tc_set(X1)) != c_uminus(X2,tc_set(X1)) | X0 = X2 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19376]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2728,plain,
% 39.33/40.21      ( c_List_Odistinct(c_List_Orev(X0,X1),X1) | ~ c_List_Odistinct(X0,X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12271_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19372,plain,
% 39.33/40.21      ( c_List_Odistinct(c_List_Orev(X0,X1),X1) | ~ c_List_Odistinct(X0,X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2728]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2726,plain,
% 39.33/40.21      ( c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 39.33/40.21      | ~ c_List_Odistinct(X0,X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12272_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19368,plain,
% 39.33/40.21      ( c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 39.33/40.21      | ~ c_List_Odistinct(X0,X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2726]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2724,plain,
% 39.33/40.21      ( c_Orderings_Omax(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12273_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19364,plain,
% 39.33/40.21      ( c_Orderings_Omax(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2724]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19365,plain,
% 39.33/40.21      ( ~ class_Orderings_Olinorder(X0) | c_Orderings_Omax(X1,X1,X0) = X1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19364]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2722,plain,
% 39.33/40.21      ( c_Orderings_Omin(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12274_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19360,plain,
% 39.33/40.21      ( c_Orderings_Omin(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2722]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19361,plain,
% 39.33/40.21      ( ~ class_Orderings_Olinorder(X0) | c_Orderings_Omin(X1,X1,X0) = X1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19360]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2720,plain,
% 39.33/40.21      ( c_LOrder_Omeet(X0,X0,X1) = X0 | ~ class_LOrder_Omeet__semilorder(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12275_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19356,plain,
% 39.33/40.21      ( c_LOrder_Omeet(X0,X0,X1) = X0 | ~ class_LOrder_Omeet__semilorder(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2720]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19357,plain,
% 39.33/40.21      ( ~ class_LOrder_Omeet__semilorder(X0) | c_LOrder_Omeet(X1,X1,X0) = X1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19356]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2718,plain,
% 39.33/40.21      ( c_LOrder_Ojoin(X0,X0,X1) = X0 | ~ class_LOrder_Ojoin__semilorder(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12276_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19352,plain,
% 39.33/40.21      ( c_LOrder_Ojoin(X0,X0,X1) = X0 | ~ class_LOrder_Ojoin__semilorder(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2718]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19353,plain,
% 39.33/40.21      ( ~ class_LOrder_Ojoin__semilorder(X0) | c_LOrder_Ojoin(X1,X1,X0) = X1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19352]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2716,plain,
% 39.33/40.21      ( c_IntDef_Oint(c_IntDef_Onat(X0)) = c_0
% 39.33/40.21      | c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12277_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19348,plain,
% 39.33/40.21      ( c_IntDef_Oint(c_IntDef_Onat(X0)) = c_0
% 39.33/40.21      | c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2716]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19349,plain,
% 39.33/40.21      ( c_lessequals(c_0,X0,tc_IntDef_Oint)
% 39.33/40.21      | c_IntDef_Oint(c_IntDef_Onat(X0)) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19348]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2714,plain,
% 39.33/40.21      ( c_minus(X0,X0,X1) = c_0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12278_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19344,plain,
% 39.33/40.21      ( c_minus(X0,X0,X1) = c_0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2714]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19345,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Oab__group__add(X0) | c_minus(X1,X1,X0) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19344]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2712,plain,
% 39.33/40.21      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12279_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19340,plain,
% 39.33/40.21      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2712]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19341,plain,
% 39.33/40.21      ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19340]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2710,plain,
% 39.33/40.21      ( c_times(c_1,X0,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12280_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19336,plain,
% 39.33/40.21      ( c_times(c_1,X0,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2710]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19337,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__idom(X0) | c_times(c_1,X1,X0) = X1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19336]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2708,plain,
% 39.33/40.21      ( c_times(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12281_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19332,plain,
% 39.33/40.21      ( c_times(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2708]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19333,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__idom(X0) | c_times(X1,c_1,X0) = X1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19332]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2706,plain,
% 39.33/40.21      ( c_divide(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Ofield(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12282_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19328,plain,
% 39.33/40.21      ( c_divide(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Ofield(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2706]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19329,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Ofield(X0) | c_divide(X1,c_1,X0) = X1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19328]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2704,plain,
% 39.33/40.21      ( c_Nat_Opower(X0,c_1,X1) = X0 | ~ class_Power_Orecpower(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12283_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19324,plain,
% 39.33/40.21      ( c_Nat_Opower(X0,c_1,X1) = X0 | ~ class_Power_Orecpower(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2704]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19325,plain,
% 39.33/40.21      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(X1,c_1,X0) = X1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19324]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2702,plain,
% 39.33/40.21      ( c_times(X0,c_1,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12284_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19320,plain,
% 39.33/40.21      ( c_times(X0,c_1,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2702]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19321,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Omonoid__mult(X0) | c_times(X1,c_1,X0) = X1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19320]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2700,plain,
% 39.33/40.21      ( c_times(c_1,X0,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12285_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19316,plain,
% 39.33/40.21      ( c_times(c_1,X0,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2700]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19317,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Omonoid__mult(X0) | c_times(c_1,X1,X0) = X1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19316]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2698,plain,
% 39.33/40.21      ( c_minus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12286_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19312,plain,
% 39.33/40.21      ( c_minus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2698]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19313,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Oab__group__add(X0) | c_minus(X1,c_0,X0) = X1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19312]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2696,plain,
% 39.33/40.21      ( c_plus(c_0,X0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12287_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19308,plain,
% 39.33/40.21      ( c_plus(c_0,X0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2696]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19309,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | c_plus(c_0,X1,X0) = X1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19308]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2694,plain,
% 39.33/40.21      ( c_plus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12288_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19304,plain,
% 39.33/40.21      ( c_plus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2694]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19305,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | c_plus(X1,c_0,X0) = X1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19304]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2692,plain,
% 39.33/40.21      ( c_HOL_Oabs(c_uminus(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12289_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19300,plain,
% 39.33/40.21      ( c_HOL_Oabs(c_uminus(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2692]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19301,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 39.33/40.21      | c_HOL_Oabs(c_uminus(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19300]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2690,plain,
% 39.33/40.21      ( c_HOL_Oabs(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12290_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19296,plain,
% 39.33/40.21      ( c_HOL_Oabs(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2690]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19297,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 39.33/40.21      | c_HOL_Oabs(c_HOL_Oabs(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19296]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2686,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_HOL_Oinverse(X0,X2) != c_HOL_Oinverse(X1,X2)
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12293_3) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19288,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_HOL_Oinverse(X0,X2) != c_HOL_Oinverse(X1,X2)
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X2)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2686]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19289,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.21      | c_HOL_Oinverse(X1,X0) != c_HOL_Oinverse(X2,X0)
% 39.33/40.21      | X1 = X2 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19288]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2684,plain,
% 39.33/40.21      ( c_times(X0,c_0,X1) = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12295_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19284,plain,
% 39.33/40.21      ( c_times(X0,c_0,X1) = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2684]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19285,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.21      | c_times(X1,c_0,X0) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19284]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2682,plain,
% 39.33/40.21      ( c_times(c_0,X0,X1) = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12296_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19280,plain,
% 39.33/40.21      ( c_times(c_0,X0,X1) = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2682]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19281,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.21      | c_times(c_0,X1,X0) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19280]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2680,plain,
% 39.33/40.21      ( c_times(X0,c_0,X1) = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12297_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19276,plain,
% 39.33/40.21      ( c_times(X0,c_0,X1) = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2680]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19277,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.21      | c_times(X1,c_0,X0) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19276]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2678,plain,
% 39.33/40.21      ( c_times(c_0,X0,X1) = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12298_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19272,plain,
% 39.33/40.21      ( c_times(c_0,X0,X1) = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2678]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19273,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.21      | c_times(c_0,X1,X0) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19272]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2676,plain,
% 39.33/40.21      ( c_Nat_Opower(X0,c_0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12299_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19268,plain,
% 39.33/40.21      ( c_Nat_Opower(X0,c_0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2676]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19269,plain,
% 39.33/40.21      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(X1,c_0,X0) = c_1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19268]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2674,plain,
% 39.33/40.21      ( c_Nat_Opower(c_1,X0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12300_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19264,plain,
% 39.33/40.21      ( c_Nat_Opower(c_1,X0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2674]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19265,plain,
% 39.33/40.21      ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(c_1,X1,X0) = c_1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19264]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2672,plain,
% 39.33/40.21      ( c_lessequals(c_0,c_1,X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12309_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19260,plain,
% 39.33/40.21      ( c_lessequals(c_0,c_1,X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2672]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19261,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.21      | c_lessequals(c_0,c_1,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19260]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2670,plain,
% 39.33/40.21      ( c_less(c_0,c_1,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12310_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19256,plain,
% 39.33/40.21      ( c_less(c_0,c_1,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2670]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19257,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__semidom(X0) | c_less(c_0,c_1,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19256]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2668,plain,
% 39.33/40.21      ( c_in(c_1,c_IntDef_ONats,X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12311_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19252,plain,
% 39.33/40.21      ( c_in(c_1,c_IntDef_ONats,X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2668]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19253,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.33/40.21      | c_in(c_1,c_IntDef_ONats,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19252]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2666,plain,
% 39.33/40.21      ( c_in(c_0,c_IntDef_ONats,X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12312_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19248,plain,
% 39.33/40.21      ( c_in(c_0,c_IntDef_ONats,X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2666]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19249,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.33/40.21      | c_in(c_0,c_IntDef_ONats,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19248]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2664,plain,
% 39.33/40.21      ( c_in(c_1,c_IntDef_OInts,X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12313_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19244,plain,
% 39.33/40.21      ( c_in(c_1,c_IntDef_OInts,X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2664]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19245,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.33/40.21      | c_in(c_1,c_IntDef_OInts,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19244]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2662,plain,
% 39.33/40.21      ( c_in(c_0,c_IntDef_OInts,X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12314_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19240,plain,
% 39.33/40.21      ( c_in(c_0,c_IntDef_OInts,X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2662]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19241,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.33/40.21      | c_in(c_0,c_IntDef_OInts,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19240]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2660,plain,
% 39.33/40.21      ( c_IntDef_Oof__int(c_NatArith_Oof__nat(X0,tc_IntDef_Oint),X1) = c_NatArith_Oof__nat(X0,X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12315_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19236,plain,
% 39.33/40.21      ( c_IntDef_Oof__int(c_NatArith_Oof__nat(X0,tc_IntDef_Oint),X1) = c_NatArith_Oof__nat(X0,X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2660]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19237,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.33/40.21      | c_IntDef_Oof__int(c_NatArith_Oof__nat(X1,tc_IntDef_Oint),X0) = c_NatArith_Oof__nat(X1,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19236]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2658,plain,
% 39.33/40.21      ( c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.21      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12324_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19232,plain,
% 39.33/40.21      ( c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 39.33/40.21      | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2658]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2655,plain,
% 39.33/40.21      ( c_HOL_Oinverse(c_HOL_Oinverse(X0,X1),X1) = X0
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12327_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19226,plain,
% 39.33/40.21      ( c_HOL_Oinverse(c_HOL_Oinverse(X0,X1),X1) = X0
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2655]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19227,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.21      | c_HOL_Oinverse(c_HOL_Oinverse(X1,X0),X0) = X1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19226]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2653,plain,
% 39.33/40.21      ( c_div(X0,X0,tc_IntDef_Oint) = c_1 | X0 = c_0 ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12329_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19222,plain,
% 39.33/40.21      ( c_div(X0,X0,tc_IntDef_Oint) = c_1 | X0 = c_0 ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2653]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2651,plain,
% 39.33/40.21      ( X0 = c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint))
% 39.33/40.21      | c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12331_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19218,plain,
% 39.33/40.21      ( X0 = c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint))
% 39.33/40.21      | c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2651]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19219,plain,
% 39.33/40.21      ( c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint)
% 39.33/40.21      | X0 = c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint)) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19218]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2648,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_SetInterval_OlessThan(X0,X2) != c_SetInterval_OlessThan(X1,X2)
% 39.33/40.21      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12348_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19212,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_SetInterval_OlessThan(X0,X2) != c_SetInterval_OlessThan(X1,X2)
% 39.33/40.21      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2648]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19213,plain,
% 39.33/40.21      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.21      | c_SetInterval_OlessThan(X1,X0) != c_SetInterval_OlessThan(X2,X0)
% 39.33/40.21      | X1 = X2 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19212]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2645,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_SetInterval_OgreaterThan(X0,X2) != c_SetInterval_OgreaterThan(X1,X2)
% 39.33/40.21      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12349_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19206,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_SetInterval_OgreaterThan(X0,X2) != c_SetInterval_OgreaterThan(X1,X2)
% 39.33/40.21      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2645]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19207,plain,
% 39.33/40.21      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.21      | c_SetInterval_OgreaterThan(X1,X0) != c_SetInterval_OgreaterThan(X2,X0)
% 39.33/40.21      | X1 = X2 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19206]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2642,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_SetInterval_OatMost(X0,X2) != c_SetInterval_OatMost(X1,X2)
% 39.33/40.21      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12350_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19200,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_SetInterval_OatMost(X0,X2) != c_SetInterval_OatMost(X1,X2)
% 39.33/40.21      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2642]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19201,plain,
% 39.33/40.21      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.21      | c_SetInterval_OatMost(X1,X0) != c_SetInterval_OatMost(X2,X0)
% 39.33/40.21      | X1 = X2 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19200]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2639,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_SetInterval_OatLeast(X0,X2) != c_SetInterval_OatLeast(X1,X2)
% 39.33/40.21      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12351_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19194,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_SetInterval_OatLeast(X0,X2) != c_SetInterval_OatLeast(X1,X2)
% 39.33/40.21      | ~ class_Orderings_Olinorder(X2) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2639]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19195,plain,
% 39.33/40.21      ( ~ class_Orderings_Olinorder(X0)
% 39.33/40.21      | c_SetInterval_OatLeast(X1,X0) != c_SetInterval_OatLeast(X2,X0)
% 39.33/40.21      | X1 = X2 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19194]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2636,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_uminus(X0,X2) != c_uminus(X1,X2)
% 39.33/40.21      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12352_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19188,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_uminus(X0,X2) != c_uminus(X1,X2)
% 39.33/40.21      | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2636]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19189,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.21      | c_uminus(X1,X0) != c_uminus(X2,X0)
% 39.33/40.21      | X1 = X2 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19188]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2633,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_NatArith_Oof__nat(X0,X2) != c_NatArith_Oof__nat(X1,X2)
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12353_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19182,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_NatArith_Oof__nat(X0,X2) != c_NatArith_Oof__nat(X1,X2)
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2633]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19183,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.21      | c_NatArith_Oof__nat(X1,X0) != c_NatArith_Oof__nat(X2,X0)
% 39.33/40.21      | X1 = X2 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19182]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2630,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_IntDef_Oof__int(X0,X2) != c_IntDef_Oof__int(X1,X2)
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12354_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19176,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_IntDef_Oof__int(X0,X2) != c_IntDef_Oof__int(X1,X2)
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2630]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19177,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.21      | c_IntDef_Oof__int(X1,X0) != c_IntDef_Oof__int(X2,X0)
% 39.33/40.21      | X1 = X2 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19176]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2628,plain,
% 39.33/40.21      ( c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 39.33/40.21      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12355_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19172,plain,
% 39.33/40.21      ( c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 39.33/40.21      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2628]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19173,plain,
% 39.33/40.21      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.21      | c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19172]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2626,plain,
% 39.33/40.21      ( X0 = c_0 | c_less(c_0,X0,tc_nat) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12365_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19168,plain,
% 39.33/40.21      ( X0 = c_0 | c_less(c_0,X0,tc_nat) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2626]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19169,plain,
% 39.33/40.21      ( c_less(c_0,X0,tc_nat) | X0 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19168]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2620,plain,
% 39.33/40.21      ( c_uminus(c_uminus(c_1,X0),X0) = c_1
% 39.33/40.21      | ~ class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.21      | ~ class_HOL_Oone(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12416_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19156,plain,
% 39.33/40.21      ( c_uminus(c_uminus(c_1,X0),X0) = c_1
% 39.33/40.21      | ~ class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.21      | ~ class_HOL_Oone(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2620]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19157,plain,
% 39.33/40.21      ( ~ class_HOL_Oone(X0)
% 39.33/40.21      | ~ class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.21      | c_uminus(c_uminus(c_1,X0),X0) = c_1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19156]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2613,plain,
% 39.33/40.21      ( X0 = c_uminus(c_1,X1)
% 39.33/40.21      | c_uminus(X0,X1) != c_1
% 39.33/40.21      | ~ class_OrderedGroup_Oab__group__add(X1)
% 39.33/40.21      | ~ class_HOL_Oone(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12418_3) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19142,plain,
% 39.33/40.21      ( X0 = c_uminus(c_1,X1)
% 39.33/40.21      | c_uminus(X0,X1) != c_1
% 39.33/40.21      | ~ class_OrderedGroup_Oab__group__add(X1)
% 39.33/40.21      | ~ class_HOL_Oone(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2613]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19143,plain,
% 39.33/40.21      ( ~ class_HOL_Oone(X0)
% 39.33/40.21      | ~ class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.21      | c_uminus(X1,X0) != c_1
% 39.33/40.21      | X1 = c_uminus(c_1,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19142]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2611,plain,
% 39.33/40.21      ( ~ c_Parity_Oeven(c_Suc(X0),tc_nat) | ~ c_Parity_Oeven(X0,tc_nat) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12419_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19138,plain,
% 39.33/40.21      ( ~ c_Parity_Oeven(c_Suc(X0),tc_nat) | ~ c_Parity_Oeven(X0,tc_nat) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2611]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2609,plain,
% 39.33/40.21      ( c_uminus(c_uminus(X0,X1),X1) = X0
% 39.33/40.21      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12425_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19134,plain,
% 39.33/40.21      ( c_uminus(c_uminus(X0,X1),X1) = X0
% 39.33/40.21      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2609]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19135,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.21      | c_uminus(c_uminus(X1,X0),X0) = X1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19134]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2607,plain,
% 39.33/40.21      ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12426_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19130,plain,
% 39.33/40.21      ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2607]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19131,plain,
% 39.33/40.21      ( c_List_Orev(X0,X1) != c_List_Orev(X2,X1) | X0 = X2 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19130]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2605,plain,
% 39.33/40.21      ( X0 = X1 | c_List_Ochar_OChar(X2,X0) != c_List_Ochar_OChar(X3,X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12427_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19126,plain,
% 39.33/40.21      ( X0 = X1 | c_List_Ochar_OChar(X2,X0) != c_List_Ochar_OChar(X3,X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2605]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19127,plain,
% 39.33/40.21      ( c_List_Ochar_OChar(X0,X1) != c_List_Ochar_OChar(X2,X3) | X1 = X3 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19126]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2603,plain,
% 39.33/40.21      ( X0 = X1 | c_List_Ochar_OChar(X0,X2) != c_List_Ochar_OChar(X1,X3) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12428_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19122,plain,
% 39.33/40.21      ( X0 = X1 | c_List_Ochar_OChar(X0,X2) != c_List_Ochar_OChar(X1,X3) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2603]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19123,plain,
% 39.33/40.21      ( c_List_Ochar_OChar(X0,X1) != c_List_Ochar_OChar(X2,X3) | X0 = X2 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19122]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2601,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_Datatype_Ooption_OSome(X0,X2) != c_Datatype_Ooption_OSome(X1,X2) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12429_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19118,plain,
% 39.33/40.21      ( X0 = X1
% 39.33/40.21      | c_Datatype_Ooption_OSome(X0,X2) != c_Datatype_Ooption_OSome(X1,X2) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2601]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19119,plain,
% 39.33/40.21      ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_OSome(X2,X1)
% 39.33/40.21      | X0 = X2 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19118]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2598,plain,
% 39.33/40.21      ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 39.33/40.21      | ~ class_Finite__Set_Ofinite(X0)
% 39.33/40.21      | ~ class_Finite__Set_Ofinite(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12434_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19112,plain,
% 39.33/40.21      ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 39.33/40.21      | ~ class_Finite__Set_Ofinite(X0)
% 39.33/40.21      | ~ class_Finite__Set_Ofinite(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2598]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2595,plain,
% 39.33/40.21      ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 39.33/40.21      | ~ class_Finite__Set_Ofinite(X0)
% 39.33/40.21      | ~ class_Finite__Set_Ofinite(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12435_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19106,plain,
% 39.33/40.21      ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 39.33/40.21      | ~ class_Finite__Set_Ofinite(X0)
% 39.33/40.21      | ~ class_Finite__Set_Ofinite(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2595]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2592,plain,
% 39.33/40.21      ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 39.33/40.21      | ~ class_Finite__Set_Ofinite(X0)
% 39.33/40.21      | ~ class_Finite__Set_Ofinite(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12436_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19100,plain,
% 39.33/40.21      ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 39.33/40.21      | ~ class_Finite__Set_Ofinite(X0)
% 39.33/40.21      | ~ class_Finite__Set_Ofinite(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2592]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2590,plain,
% 39.33/40.21      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 39.33/40.21      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12437_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19096,plain,
% 39.33/40.21      ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 39.33/40.21      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2590]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19097,plain,
% 39.33/40.21      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.21      | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19096]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2588,plain,
% 39.33/40.21      ( c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X0,X1),X1) = X0
% 39.33/40.21      | X0 = c_Datatype_Ooption_ONone ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12438_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19092,plain,
% 39.33/40.21      ( c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X0,X1),X1) = X0
% 39.33/40.21      | X0 = c_Datatype_Ooption_ONone ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2588]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2586,plain,
% 39.33/40.21      ( c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X0,X1),X1) = X0
% 39.33/40.21      | X0 = c_Datatype_Ooption_ONone ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12439_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19088,plain,
% 39.33/40.21      ( c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X0,X1),X1) = X0
% 39.33/40.21      | X0 = c_Datatype_Ooption_ONone ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2586]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2584,plain,
% 39.33/40.21      ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0) = c_1
% 39.33/40.21      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12440_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19084,plain,
% 39.33/40.21      ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0) = c_1
% 39.33/40.21      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2584]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19085,plain,
% 39.33/40.21      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.21      | c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0) = c_1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19084]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2582,plain,
% 39.33/40.21      ( c_IntDef_Oof__int(c_IntDef_Oint(X0),X1) = c_NatArith_Oof__nat(X0,X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12441_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19080,plain,
% 39.33/40.21      ( c_IntDef_Oof__int(c_IntDef_Oint(X0),X1) = c_NatArith_Oof__nat(X0,X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2582]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19081,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.33/40.21      | c_IntDef_Oof__int(c_IntDef_Oint(X1),X0) = c_NatArith_Oof__nat(X1,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19080]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2578,plain,
% 39.33/40.21      ( X0 = c_0
% 39.33/40.21      | c_HOL_Oinverse(X0,X1) != c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12453_3) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19072,plain,
% 39.33/40.21      ( X0 = c_0
% 39.33/40.21      | c_HOL_Oinverse(X0,X1) != c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2578]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19073,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.21      | c_HOL_Oinverse(X1,X0) != c_0
% 39.33/40.21      | X1 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19072]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2574,plain,
% 39.33/40.21      ( X0 = c_1
% 39.33/40.21      | c_HOL_Oinverse(X0,X1) != c_1
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12454_3) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19064,plain,
% 39.33/40.21      ( X0 = c_1
% 39.33/40.21      | c_HOL_Oinverse(X0,X1) != c_1
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X1)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2574]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19065,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.21      | c_HOL_Oinverse(X1,X0) != c_1
% 39.33/40.21      | X1 = c_1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19064]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2572,plain,
% 39.33/40.21      ( X0 = c_0
% 39.33/40.21      | c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint) != c_IntDef_Oint(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12455_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19060,plain,
% 39.33/40.21      ( X0 = c_0
% 39.33/40.21      | c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint) != c_IntDef_Oint(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2572]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19061,plain,
% 39.33/40.21      ( c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1)
% 39.33/40.21      | X1 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19060]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2570,plain,
% 39.33/40.21      ( X0 = c_0
% 39.33/40.21      | c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12456_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19056,plain,
% 39.33/40.21      ( X0 = c_0
% 39.33/40.21      | c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2570]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19057,plain,
% 39.33/40.21      ( c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1)
% 39.33/40.21      | X0 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19056]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2568,plain,
% 39.33/40.21      ( c_Union(X0,X1) = c_emptyset
% 39.33/40.21      | c_Main_Oempty__Union__conv__1(X0,X1) != c_emptyset ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12457_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19052,plain,
% 39.33/40.21      ( c_Union(X0,X1) = c_emptyset
% 39.33/40.21      | c_Main_Oempty__Union__conv__1(X0,X1) != c_emptyset ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2568]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2566,plain,
% 39.33/40.21      ( c_Union(X0,X1) = c_emptyset
% 39.33/40.21      | c_Main_OUnion__empty__conv__1(X0,X1) != c_emptyset ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12458_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19048,plain,
% 39.33/40.21      ( c_Union(X0,X1) = c_emptyset
% 39.33/40.21      | c_Main_OUnion__empty__conv__1(X0,X1) != c_emptyset ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2566]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2564,plain,
% 39.33/40.21      ( c_Inter(X0,X1) = c_UNIV
% 39.33/40.21      | c_Main_OInter__UNIV__conv__2__1(X0,X1) != c_UNIV ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12459_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19044,plain,
% 39.33/40.21      ( c_Inter(X0,X1) = c_UNIV
% 39.33/40.21      | c_Main_OInter__UNIV__conv__2__1(X0,X1) != c_UNIV ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2564]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2562,plain,
% 39.33/40.21      ( c_Inter(X0,X1) = c_UNIV
% 39.33/40.21      | c_Main_OInter__UNIV__conv__1__1(X0,X1) != c_UNIV ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12460_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19040,plain,
% 39.33/40.21      ( c_Inter(X0,X1) = c_UNIV
% 39.33/40.21      | c_Main_OInter__UNIV__conv__1__1(X0,X1) != c_UNIV ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2562]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2560,plain,
% 39.33/40.21      ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 39.33/40.21      | c_Main_Oconcat__eq__Nil__conv__1(X0,X1) != c_List_Olist_ONil ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12461_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19036,plain,
% 39.33/40.21      ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 39.33/40.21      | c_Main_Oconcat__eq__Nil__conv__1(X0,X1) != c_List_Olist_ONil ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2560]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2558,plain,
% 39.33/40.21      ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 39.33/40.21      | c_Main_ONil__eq__concat__conv__1(X0,X1) != c_List_Olist_ONil ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12462_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19032,plain,
% 39.33/40.21      ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 39.33/40.21      | c_Main_ONil__eq__concat__conv__1(X0,X1) != c_List_Olist_ONil ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2558]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2556,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil | c_Nat_Osize(X0,tc_List_Olist(X1)) != c_0 ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12464_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19028,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil | c_Nat_Osize(X0,tc_List_Olist(X1)) != c_0 ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2556]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19029,plain,
% 39.33/40.21      ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_0 | X0 = c_List_Olist_ONil ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19028]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2554,plain,
% 39.33/40.21      ( c_Numeral_Onumber__of(c_Numeral_OMin,X0) = c_uminus(c_1,X0)
% 39.33/40.21      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12466_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19024,plain,
% 39.33/40.21      ( c_Numeral_Onumber__of(c_Numeral_OMin,X0) = c_uminus(c_1,X0)
% 39.33/40.21      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2554]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19025,plain,
% 39.33/40.21      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.21      | c_Numeral_Onumber__of(c_Numeral_OMin,X0) = c_uminus(c_1,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19024]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2552,plain,
% 39.33/40.21      ( c_Parity_Oeven(c_Suc(X0),tc_nat) | c_Parity_Oeven(X0,tc_nat) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12467_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19020,plain,
% 39.33/40.21      ( c_Parity_Oeven(c_Suc(X0),tc_nat) | c_Parity_Oeven(X0,tc_nat) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2552]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2549,plain,
% 39.33/40.21      ( X0 = c_0
% 39.33/40.21      | c_uminus(X0,X1) != c_0
% 39.33/40.21      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12468_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19014,plain,
% 39.33/40.21      ( X0 = c_0
% 39.33/40.21      | c_uminus(X0,X1) != c_0
% 39.33/40.21      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2549]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19015,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.21      | c_uminus(X1,X0) != c_0
% 39.33/40.21      | X1 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19014]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2546,plain,
% 39.33/40.21      ( c_0 = X0
% 39.33/40.21      | c_uminus(X0,X1) != c_0
% 39.33/40.21      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12469_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19008,plain,
% 39.33/40.21      ( c_0 = X0
% 39.33/40.21      | c_uminus(X0,X1) != c_0
% 39.33/40.21      | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2546]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_19009,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.21      | c_0 = X1
% 39.33/40.21      | c_uminus(X1,X0) != c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_19008]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2540,plain,
% 39.33/40.21      ( X0 = c_0
% 39.33/40.21      | c_HOL_Oabs(X0,X1) != c_0
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12471_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18996,plain,
% 39.33/40.21      ( X0 = c_0
% 39.33/40.21      | c_HOL_Oabs(X0,X1) != c_0
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2540]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18997,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 39.33/40.21      | c_HOL_Oabs(X1,X0) != c_0
% 39.33/40.21      | X1 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_18996]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2537,plain,
% 39.33/40.21      ( X0 = c_0
% 39.33/40.21      | c_NatArith_Oof__nat(X0,X1) != c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12472_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18990,plain,
% 39.33/40.21      ( X0 = c_0
% 39.33/40.21      | c_NatArith_Oof__nat(X0,X1) != c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2537]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18991,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.21      | c_NatArith_Oof__nat(X1,X0) != c_0
% 39.33/40.21      | X1 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_18990]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2534,plain,
% 39.33/40.21      ( c_0 = X0
% 39.33/40.21      | c_NatArith_Oof__nat(X0,X1) != c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12473_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18984,plain,
% 39.33/40.21      ( c_0 = X0
% 39.33/40.21      | c_NatArith_Oof__nat(X0,X1) != c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2534]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18985,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.21      | c_0 = X1
% 39.33/40.21      | c_NatArith_Oof__nat(X1,X0) != c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_18984]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2531,plain,
% 39.33/40.21      ( X0 = c_0
% 39.33/40.21      | c_IntDef_Oof__int(X0,X1) != c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12474_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18978,plain,
% 39.33/40.21      ( X0 = c_0
% 39.33/40.21      | c_IntDef_Oof__int(X0,X1) != c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2531]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18979,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.21      | c_IntDef_Oof__int(X1,X0) != c_0
% 39.33/40.21      | X1 = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_18978]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2528,plain,
% 39.33/40.21      ( c_0 = X0
% 39.33/40.21      | c_IntDef_Oof__int(X0,X1) != c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12475_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18972,plain,
% 39.33/40.21      ( c_0 = X0
% 39.33/40.21      | c_IntDef_Oof__int(X0,X1) != c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2528]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18973,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.21      | c_0 = X1
% 39.33/40.21      | c_IntDef_Oof__int(X1,X0) != c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_18972]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2526,plain,
% 39.33/40.21      ( ~ c_IntDef_Oneg(c_1,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12478_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18968,plain,
% 39.33/40.21      ( ~ c_IntDef_Oneg(c_1,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2526]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18969,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__idom(X0) | ~ c_IntDef_Oneg(c_1,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_18968]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2524,plain,
% 39.33/40.21      ( ~ c_IntDef_Oneg(c_0,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12479_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18964,plain,
% 39.33/40.21      ( ~ c_IntDef_Oneg(c_0,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2524]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18965,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__idom(X0) | ~ c_IntDef_Oneg(c_0,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_18964]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2522,plain,
% 39.33/40.21      ( ~ c_IntDef_Oiszero(c_1,X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12480_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18960,plain,
% 39.33/40.21      ( ~ c_IntDef_Oiszero(c_1,X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2522]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18961,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.33/40.21      | ~ c_IntDef_Oiszero(c_1,X0) ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_18960]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2519,plain,
% 39.33/40.21      ( c_HOL_Oinverse(c_0,X0) = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12481_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18954,plain,
% 39.33/40.21      ( c_HOL_Oinverse(c_0,X0) = c_0
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2519]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18955,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.21      | c_HOL_Oinverse(c_0,X0) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_18954]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2516,plain,
% 39.33/40.21      ( c_HOL_Oinverse(c_1,X0) = c_1
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12482_2) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18948,plain,
% 39.33/40.21      ( c_HOL_Oinverse(c_1,X0) = c_1
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2516]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18949,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.21      | ~ class_Ring__and__Field_Ofield(X0)
% 39.33/40.21      | c_HOL_Oinverse(c_1,X0) = c_1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_18948]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2512,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil | c_List_Oset(X0,X1) != c_emptyset ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12485_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18940,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil | c_List_Oset(X0,X1) != c_emptyset ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2512]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18941,plain,
% 39.33/40.21      ( c_List_Oset(X0,X1) != c_emptyset | X0 = c_List_Olist_ONil ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_18940]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2510,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil | c_List_Orotate1(X0,X1) != c_List_Olist_ONil ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12486_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18936,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil | c_List_Orotate1(X0,X1) != c_List_Olist_ONil ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2510]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18937,plain,
% 39.33/40.21      ( c_List_Orotate1(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_18936]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2504,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil | c_List_Oremdups(X0,X1) != c_List_Olist_ONil ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12489_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18924,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil | c_List_Oremdups(X0,X1) != c_List_Olist_ONil ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2504]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18925,plain,
% 39.33/40.21      ( c_List_Oremdups(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_18924]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2502,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil | c_List_Orev(X0,X1) != c_List_Olist_ONil ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12490_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18920,plain,
% 39.33/40.21      ( X0 = c_List_Olist_ONil | c_List_Orev(X0,X1) != c_List_Olist_ONil ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2502]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18921,plain,
% 39.33/40.21      ( c_List_Orev(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_18920]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2500,plain,
% 39.33/40.21      ( X0 = c_Datatype_Ooption_ONone | c_Datatype_Oo2s(X0,X1) != c_emptyset ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12491_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18916,plain,
% 39.33/40.21      ( X0 = c_Datatype_Ooption_ONone | c_Datatype_Oo2s(X0,X1) != c_emptyset ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2500]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18917,plain,
% 39.33/40.21      ( c_Datatype_Oo2s(X0,X1) != c_emptyset | X0 = c_Datatype_Ooption_ONone ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_18916]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2498,plain,
% 39.33/40.21      ( c_HOL_Oabs(c_1,X0) = c_1
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12495_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18912,plain,
% 39.33/40.21      ( c_HOL_Oabs(c_1,X0) = c_1
% 39.33/40.21      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2498]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18913,plain,
% 39.33/40.21      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.21      | c_HOL_Oabs(c_1,X0) = c_1 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_18912]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2496,plain,
% 39.33/40.21      ( c_OrderedGroup_Opprt(c_0,X0) = c_0
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12496_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18908,plain,
% 39.33/40.21      ( c_OrderedGroup_Opprt(c_0,X0) = c_0
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2496]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18909,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.21      | c_OrderedGroup_Opprt(c_0,X0) = c_0 ),
% 39.33/40.21      inference(rewriting,[status(thm)],[c_18908]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_2494,plain,
% 39.33/40.21      ( c_OrderedGroup_Onprt(c_0,X0) = c_0
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.33/40.21      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12497_1) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18904,plain,
% 39.33/40.21      ( c_OrderedGroup_Onprt(c_0,X0) = c_0
% 39.33/40.21      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.33/40.21      inference(copy,[status(esa)],[c_2494]) ).
% 39.33/40.21  
% 39.33/40.21  cnf(c_18905,plain,
% 39.33/40.21      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.22      | c_OrderedGroup_Onprt(c_0,X0) = c_0 ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18904]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2490,plain,
% 39.33/40.22      ( c_uminus(c_0,X0) = c_0 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12499_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18896,plain,
% 39.33/40.22      ( c_uminus(c_0,X0) = c_0 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2490]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18897,plain,
% 39.33/40.22      ( ~ class_OrderedGroup_Oab__group__add(X0) | c_uminus(c_0,X0) = c_0 ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18896]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2486,plain,
% 39.33/40.22      ( c_HOL_Oabs(c_0,X0) = c_0
% 39.33/40.22      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12501_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18888,plain,
% 39.33/40.22      ( c_HOL_Oabs(c_0,X0) = c_0
% 39.33/40.22      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2486]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18889,plain,
% 39.33/40.22      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 39.33/40.22      | c_HOL_Oabs(c_0,X0) = c_0 ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18888]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2484,plain,
% 39.33/40.22      ( c_Numeral_Onumber__of(c_Numeral_OPls,X0) = c_0
% 39.33/40.22      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12502_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18884,plain,
% 39.33/40.22      ( c_Numeral_Onumber__of(c_Numeral_OPls,X0) = c_0
% 39.33/40.22      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2484]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18885,plain,
% 39.33/40.22      ( ~ class_Numeral_Onumber__ring(X0)
% 39.33/40.22      | c_Numeral_Onumber__of(c_Numeral_OPls,X0) = c_0 ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18884]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2480,plain,
% 39.33/40.22      ( c_NatArith_Oof__nat(c_1,X0) = c_1
% 39.33/40.22      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12504_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18876,plain,
% 39.33/40.22      ( c_NatArith_Oof__nat(c_1,X0) = c_1
% 39.33/40.22      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2480]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18877,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.33/40.22      | c_NatArith_Oof__nat(c_1,X0) = c_1 ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18876]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2478,plain,
% 39.33/40.22      ( c_NatArith_Oof__nat(c_0,X0) = c_0
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12505_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18872,plain,
% 39.33/40.22      ( c_NatArith_Oof__nat(c_0,X0) = c_0
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2478]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18873,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.22      | c_NatArith_Oof__nat(c_0,X0) = c_0 ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18872]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2474,plain,
% 39.33/40.22      ( c_IntDef_Oof__int(c_1,X0) = c_1
% 39.33/40.22      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12507_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18864,plain,
% 39.33/40.22      ( c_IntDef_Oof__int(c_1,X0) = c_1
% 39.33/40.22      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2474]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18865,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.33/40.22      | c_IntDef_Oof__int(c_1,X0) = c_1 ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18864]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2472,plain,
% 39.33/40.22      ( c_IntDef_Oof__int(c_0,X0) = c_0
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12508_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18860,plain,
% 39.33/40.22      ( c_IntDef_Oof__int(c_0,X0) = c_0
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2472]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18861,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.22      | c_IntDef_Oof__int(c_0,X0) = c_0 ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18860]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2470,plain,
% 39.33/40.22      ( class_Finite__Set_Ofinite(tc_set(X0))
% 39.33/40.22      | ~ class_Finite__Set_Ofinite(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12517_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18856,plain,
% 39.33/40.22      ( class_Finite__Set_Ofinite(tc_set(X0))
% 39.33/40.22      | ~ class_Finite__Set_Ofinite(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2470]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2468,plain,
% 39.33/40.22      ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X0))
% 39.33/40.22      | ~ class_Finite__Set_Ofinite(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12518_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18852,plain,
% 39.33/40.22      ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X0))
% 39.33/40.22      | ~ class_Finite__Set_Ofinite(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2468]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2466,plain,
% 39.33/40.22      ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12522_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18848,plain,
% 39.33/40.22      ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2466]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18849,plain,
% 39.33/40.22      ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18848]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2464,plain,
% 39.33/40.22      ( X0 = X1 | c_IntDef_Oint(X0) != c_IntDef_Oint(X1) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12523_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18844,plain,
% 39.33/40.22      ( X0 = X1 | c_IntDef_Oint(X0) != c_IntDef_Oint(X1) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2464]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18845,plain,
% 39.33/40.22      ( c_IntDef_Oint(X0) != c_IntDef_Oint(X1) | X0 = X1 ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18844]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2462,plain,
% 39.33/40.22      ( class_Orderings_Olinorder(X0)
% 39.33/40.22      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12559_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18840,plain,
% 39.33/40.22      ( class_Orderings_Olinorder(X0)
% 39.33/40.22      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2462]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2460,plain,
% 39.33/40.22      ( class_LOrder_Olorder(X0)
% 39.33/40.22      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12560_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18836,plain,
% 39.33/40.22      ( class_LOrder_Olorder(X0)
% 39.33/40.22      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2460]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2458,plain,
% 39.33/40.22      ( class_LOrder_Ojoin__semilorder(X0)
% 39.33/40.22      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12561_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18832,plain,
% 39.33/40.22      ( class_LOrder_Ojoin__semilorder(X0)
% 39.33/40.22      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2458]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2456,plain,
% 39.33/40.22      ( class_LOrder_Omeet__semilorder(X0)
% 39.33/40.22      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12562_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18828,plain,
% 39.33/40.22      ( class_LOrder_Omeet__semilorder(X0)
% 39.33/40.22      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2456]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2454,plain,
% 39.33/40.22      ( class_Orderings_Oorder(X0)
% 39.33/40.22      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12563_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18824,plain,
% 39.33/40.22      ( class_Orderings_Oorder(X0)
% 39.33/40.22      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2454]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2452,plain,
% 39.33/40.22      ( class_Orderings_Oord(X0)
% 39.33/40.22      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12564_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18820,plain,
% 39.33/40.22      ( class_Orderings_Oord(X0)
% 39.33/40.22      | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2452]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2450,plain,
% 39.33/40.22      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12565_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18816,plain,
% 39.33/40.22      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2450]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2448,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12566_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18812,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2448]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2446,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12567_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18808,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2446]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18809,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18808]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2444,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12568_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18804,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2444]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18805,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.33/40.22      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18804]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2442,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12569_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18800,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2442]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18801,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.33/40.22      | class_HOL_Ozero(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18800]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2440,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12570_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18796,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2440]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2438,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12571_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18792,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2438]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2436,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12572_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18788,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2436]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2434,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12573_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18784,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2434]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2432,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12574_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18780,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2432]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2430,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12575_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18776,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2430]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2428,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12576_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18772,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2428]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18773,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.33/40.22      | class_HOL_Otimes(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18772]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2426,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12577_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18768,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2426]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18769,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18768]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2424,plain,
% 39.33/40.22      ( class_HOL_Oone(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12578_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18764,plain,
% 39.33/40.22      ( class_HOL_Oone(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2424]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2422,plain,
% 39.33/40.22      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12579_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18760,plain,
% 39.33/40.22      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2422]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2420,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__1(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12580_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18756,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__1(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2420]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2418,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12581_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18752,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2418]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18753,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18752]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2416,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12582_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18748,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2416]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18749,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 39.33/40.22      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18748]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2414,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12583_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18744,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2414]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2412,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12584_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18740,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2412]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18741,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Otimes(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18740]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2410,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12585_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18736,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2410]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18737,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18736]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2408,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12586_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18732,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2408]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2406,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12587_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18728,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2406]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2404,plain,
% 39.33/40.22      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12588_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18724,plain,
% 39.33/40.22      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2404]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2402,plain,
% 39.33/40.22      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12589_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18720,plain,
% 39.33/40.22      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2402]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2400,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12590_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18716,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2400]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2398,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12591_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18712,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2398]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18713,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Ozero(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18712]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2396,plain,
% 39.33/40.22      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12592_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18708,plain,
% 39.33/40.22      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2396]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2394,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12593_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18704,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2394]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2392,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12594_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18700,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2392]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18701,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | class_HOL_Ozero(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18700]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2390,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12595_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18696,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2390]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18697,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | class_HOL_Oplus(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18696]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2388,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12596_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18692,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2388]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18693,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18692]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2386,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12597_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18688,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2386]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18689,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18688]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2384,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12598_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18684,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2384]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2382,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12599_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18680,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2382]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18681,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | class_HOL_Otimes(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18680]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2380,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12600_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18676,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2380]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18677,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18676]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2378,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12601_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18672,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2378]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2376,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12602_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18668,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2376]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2374,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12603_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18664,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2374]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2372,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12604_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18660,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2372]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18661,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Ozero(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18660]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2370,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12605_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18656,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2370]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2368,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12606_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18652,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2368]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18653,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Otimes(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18652]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2366,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12607_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18648,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2366]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18649,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18648]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2364,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12608_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18644,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2364]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18645,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Oplus(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18644]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2362,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12609_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18640,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2362]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18641,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18640]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2360,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12610_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18636,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2360]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18637,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18636]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2358,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12611_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18632,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2358]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2356,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12612_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18628,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2356]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18629,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring(X0) | class_HOL_Otimes(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18628]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2354,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12613_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18624,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2354]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18625,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18624]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2352,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12614_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18620,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2352]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18621,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring(X0) | class_HOL_Oplus(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18620]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2350,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12615_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18616,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2350]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18617,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18616]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2348,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12616_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18612,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Osemiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2348]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18613,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18612]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2346,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12617_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18608,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2346]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18609,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Otimes(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18608]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2344,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12618_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18604,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2344]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18605,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Oring__1(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18604]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2342,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12619_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18600,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2342]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2340,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12620_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18596,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2340]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2338,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12621_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18592,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2338]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2336,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12622_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18588,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2336]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2334,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12623_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18584,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2334]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2332,plain,
% 39.33/40.22      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12624_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18580,plain,
% 39.33/40.22      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2332]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2330,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12625_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18576,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2330]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2328,plain,
% 39.33/40.22      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12626_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18572,plain,
% 39.33/40.22      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2328]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2326,plain,
% 39.33/40.22      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12627_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18568,plain,
% 39.33/40.22      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2326]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2324,plain,
% 39.33/40.22      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12628_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18564,plain,
% 39.33/40.22      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2324]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2322,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__1(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12629_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18560,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__1(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2322]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2320,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12630_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18556,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2320]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18557,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Ozero(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18556]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2318,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12631_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18552,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2318]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2316,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12632_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18548,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2316]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18549,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Oring__1(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18548]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2314,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12633_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18544,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2314]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18545,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Oring__1(X0)
% 39.33/40.22      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18544]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2312,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12634_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18540,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2312]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2310,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12635_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18536,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2310]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2308,plain,
% 39.33/40.22      ( class_Ring__and__Field_Oring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12636_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18532,plain,
% 39.33/40.22      ( class_Ring__and__Field_Oring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2308]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2306,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12637_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18528,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2306]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18529,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Ozero(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18528]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2304,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12638_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18524,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2304]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2302,plain,
% 39.33/40.22      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12639_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18520,plain,
% 39.33/40.22      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2302]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2300,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12640_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18516,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2300]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2298,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12641_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18512,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2298]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18513,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Otimes(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18512]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2296,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12642_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18508,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2296]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18509,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Oring(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18508]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2294,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12643_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18504,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2294]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18505,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Oplus(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18504]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2292,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12644_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18500,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2292]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18501,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Oring(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18500]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2290,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12645_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18496,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2290]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2288,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12646_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18492,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2288]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2286,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12647_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18488,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2286]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2284,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12648_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18484,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2284]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2282,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12649_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18480,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2282]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18481,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Oring(X0)
% 39.33/40.22      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18480]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2280,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12650_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18476,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2280]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2278,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12651_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18472,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2278]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2276,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12652_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18468,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2276]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2274,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12653_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18464,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2274]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2272,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12654_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18460,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2272]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18461,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18460]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2270,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12655_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18456,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2270]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18457,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.22      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18456]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2268,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12656_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18452,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2268]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2266,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12657_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18448,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2266]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2264,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12658_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18444,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2264]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18445,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18444]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2262,plain,
% 39.33/40.22      ( class_Orderings_Oord(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12659_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18440,plain,
% 39.33/40.22      ( class_Orderings_Oord(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2262]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18441,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.22      | class_Orderings_Oord(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18440]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2260,plain,
% 39.33/40.22      ( class_Orderings_Oorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12660_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18436,plain,
% 39.33/40.22      ( class_Orderings_Oorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2260]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2258,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12661_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18432,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2258]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2256,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12662_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18428,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2256]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2254,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12663_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18424,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2254]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2252,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12664_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18420,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2252]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18421,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18420]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2250,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12665_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18416,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2250]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2248,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12666_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18412,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2248]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2246,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12667_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18408,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2246]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2244,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12668_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18404,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2244]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2242,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12669_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18400,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2242]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2240,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12670_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18396,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2240]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2238,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12671_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18392,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2238]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2236,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12672_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18388,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2236]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2234,plain,
% 39.33/40.22      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12673_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18384,plain,
% 39.33/40.22      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2234]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2232,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12674_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18380,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2232]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2230,plain,
% 39.33/40.22      ( class_Orderings_Oord(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12675_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18376,plain,
% 39.33/40.22      ( class_Orderings_Oord(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2230]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18377,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 39.33/40.22      | class_Orderings_Oord(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18376]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2228,plain,
% 39.33/40.22      ( class_Orderings_Oorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12676_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18372,plain,
% 39.33/40.22      ( class_Orderings_Oorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2228]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2226,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12677_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18368,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2226]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2224,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12678_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18364,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2224]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2222,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12679_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18360,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2222]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2220,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12680_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18356,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2220]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2218,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12681_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18352,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2218]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18353,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18352]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2216,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12682_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18348,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2216]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18349,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 39.33/40.22      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18348]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2214,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12683_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18344,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2214]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2212,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12684_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18340,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2212]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2210,plain,
% 39.33/40.22      ( class_Ring__and__Field_Oring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12685_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18336,plain,
% 39.33/40.22      ( class_Ring__and__Field_Oring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2210]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2208,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12686_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18332,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2208]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18333,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18332]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2206,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12687_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18328,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2206]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18329,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 39.33/40.22      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18328]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2204,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12688_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18324,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2204]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2202,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12689_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18320,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2202]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2200,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12690_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18316,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2200]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18317,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18316]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2198,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12691_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18312,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2198]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2196,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12692_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18308,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2196]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2194,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12693_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18304,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2194]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18305,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 39.33/40.22      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18304]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2192,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12694_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18300,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2192]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2190,plain,
% 39.33/40.22      ( class_Orderings_Oord(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12695_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18296,plain,
% 39.33/40.22      ( class_Orderings_Oord(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2190]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18297,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 39.33/40.22      | class_Orderings_Oord(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18296]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2188,plain,
% 39.33/40.22      ( class_Orderings_Oorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12696_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18292,plain,
% 39.33/40.22      ( class_Orderings_Oorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2188]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2186,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12697_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18288,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2186]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2184,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12698_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18284,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2184]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2182,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12699_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18280,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2182]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2180,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12700_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18276,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2180]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2178,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12701_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18272,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2178]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2176,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12702_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18268,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2176]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2174,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12703_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18264,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2174]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2172,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12704_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18260,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2172]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2170,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12705_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18256,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2170]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2168,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12706_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18252,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2168]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2166,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12707_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18248,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2166]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2164,plain,
% 39.33/40.22      ( class_HOL_Ominus(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12708_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18244,plain,
% 39.33/40.22      ( class_HOL_Ominus(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2164]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2162,plain,
% 39.33/40.22      ( class_Orderings_Oord(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12709_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18240,plain,
% 39.33/40.22      ( class_Orderings_Oord(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2162]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2160,plain,
% 39.33/40.22      ( class_Orderings_Oorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12710_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18236,plain,
% 39.33/40.22      ( class_Orderings_Oorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2160]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2158,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12711_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18232,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2158]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2156,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12712_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18228,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2156]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2154,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12713_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18224,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2154]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2152,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12714_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18220,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2152]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2150,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12715_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18216,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2150]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2148,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12716_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18212,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2148]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2146,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12717_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18208,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2146]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2144,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12718_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18204,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2144]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2142,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12719_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18200,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2142]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2140,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12720_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18196,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2140]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2138,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12721_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18192,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2138]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2136,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12722_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18188,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2136]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2134,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12723_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18184,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2134]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2132,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12724_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18180,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2132]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2130,plain,
% 39.33/40.22      ( class_Ring__and__Field_Oring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12725_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18176,plain,
% 39.33/40.22      ( class_Ring__and__Field_Oring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2130]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2128,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__ring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12726_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18172,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__ring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2128]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2126,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12727_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18168,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2126]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18169,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18168]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2124,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12728_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18164,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2124]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18165,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 39.33/40.22      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18164]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2122,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12729_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18160,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2122]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2120,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12730_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18156,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2120]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2118,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12731_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18152,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2118]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2116,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12732_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18148,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2116]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2114,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12733_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18144,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2114]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18145,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18144]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2112,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12734_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18140,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2112]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2110,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12735_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18136,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2110]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2108,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12736_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18132,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2108]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2106,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12737_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18128,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2106]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2104,plain,
% 39.33/40.22      ( class_Orderings_Oord(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12738_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18124,plain,
% 39.33/40.22      ( class_Orderings_Oord(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2104]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18125,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 39.33/40.22      | class_Orderings_Oord(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18124]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2102,plain,
% 39.33/40.22      ( class_Orderings_Oorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12739_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18120,plain,
% 39.33/40.22      ( class_Orderings_Oorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2102]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2100,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12740_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18116,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2100]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2098,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12741_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18112,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2098]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2096,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12742_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18108,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2096]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2094,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12743_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18104,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2094]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2092,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12744_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18100,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2092]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2090,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12745_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18096,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2090]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2088,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12746_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18092,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2088]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18093,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18092]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2086,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12747_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18088,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2086]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2084,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12748_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18084,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2084]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2082,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12749_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18080,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2082]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18081,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 39.33/40.22      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18080]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2080,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12750_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18076,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2080]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2078,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12751_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18072,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2078]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2076,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12752_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18068,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2076]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2074,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12753_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18064,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2074]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2072,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12754_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18060,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2072]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2070,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12755_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18056,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2070]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2068,plain,
% 39.33/40.22      ( class_Orderings_Oord(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12756_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18052,plain,
% 39.33/40.22      ( class_Orderings_Oord(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2068]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18053,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 39.33/40.22      | class_Orderings_Oord(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18052]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2066,plain,
% 39.33/40.22      ( class_Orderings_Oorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12757_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18048,plain,
% 39.33/40.22      ( class_Orderings_Oorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2066]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2064,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12758_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18044,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2064]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2062,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12759_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18040,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2062]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18041,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18040]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2060,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12760_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18036,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2060]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18037,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 39.33/40.22      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18036]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2058,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12761_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18032,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2058]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2056,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12762_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18028,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2056]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2054,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12763_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18024,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2054]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2052,plain,
% 39.33/40.22      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12764_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18020,plain,
% 39.33/40.22      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2052]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2050,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12765_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18016,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2050]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2048,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12766_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18012,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2048]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2046,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12767_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18008,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2046]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18009,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18008]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2044,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12768_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18004,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2044]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18005,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 39.33/40.22      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_18004]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2042,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12769_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_18000,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2042]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2040,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12770_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17996,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2040]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2038,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12771_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17992,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2038]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2036,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12772_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17988,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2036]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2034,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12773_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17984,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2034]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2032,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12774_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17980,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2032]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2030,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12775_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17976,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2030]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17977,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_17976]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2028,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12776_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17972,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2028]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2026,plain,
% 39.33/40.22      ( class_Orderings_Oord(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12777_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17968,plain,
% 39.33/40.22      ( class_Orderings_Oord(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2026]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17969,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 39.33/40.22      | class_Orderings_Oord(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_17968]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2024,plain,
% 39.33/40.22      ( class_Orderings_Oorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12778_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17964,plain,
% 39.33/40.22      ( class_Orderings_Oorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2024]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2022,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12779_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17960,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2022]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2020,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12780_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17956,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2020]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2018,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12781_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17952,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2018]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2016,plain,
% 39.33/40.22      ( class_LOrder_Omeet__semilorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12782_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17948,plain,
% 39.33/40.22      ( class_LOrder_Omeet__semilorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2016]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2014,plain,
% 39.33/40.22      ( class_LOrder_Ojoin__semilorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12783_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17944,plain,
% 39.33/40.22      ( class_LOrder_Ojoin__semilorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2014]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2012,plain,
% 39.33/40.22      ( class_LOrder_Olorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12784_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17940,plain,
% 39.33/40.22      ( class_LOrder_Olorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2012]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2010,plain,
% 39.33/40.22      ( class_Orderings_Olinorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12785_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17936,plain,
% 39.33/40.22      ( class_Orderings_Olinorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2010]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2008,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12786_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17932,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2008]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2006,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12787_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17928,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2006]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2004,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12788_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17924,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2004]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2002,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12789_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17920,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2002]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_2000,plain,
% 39.33/40.22      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12790_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17916,plain,
% 39.33/40.22      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_2000]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1998,plain,
% 39.33/40.22      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12791_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17912,plain,
% 39.33/40.22      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1998]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1996,plain,
% 39.33/40.22      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12792_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17908,plain,
% 39.33/40.22      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1996]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1994,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__1(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12793_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17904,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__1(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1994]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1992,plain,
% 39.33/40.22      ( class_Orderings_Oord(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12794_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17900,plain,
% 39.33/40.22      ( class_Orderings_Oord(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1992]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1990,plain,
% 39.33/40.22      ( class_Orderings_Oorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12795_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17896,plain,
% 39.33/40.22      ( class_Orderings_Oorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1990]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1988,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12796_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17892,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1988]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1986,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12797_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17888,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1986]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1984,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12798_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17884,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1984]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1982,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12799_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17880,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1982]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1980,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12800_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17876,plain,
% 39.33/40.22      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1980]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1978,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12801_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17872,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1978]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1976,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12802_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17868,plain,
% 39.33/40.22      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1976]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1974,plain,
% 39.33/40.22      ( class_LOrder_Omeet__semilorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12803_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17864,plain,
% 39.33/40.22      ( class_LOrder_Omeet__semilorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1974]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1972,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12804_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17860,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1972]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1970,plain,
% 39.33/40.22      ( class_LOrder_Ojoin__semilorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12805_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17856,plain,
% 39.33/40.22      ( class_LOrder_Ojoin__semilorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1970]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1968,plain,
% 39.33/40.22      ( class_LOrder_Olorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12806_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17852,plain,
% 39.33/40.22      ( class_LOrder_Olorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1968]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1966,plain,
% 39.33/40.22      ( class_Orderings_Olinorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12807_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17848,plain,
% 39.33/40.22      ( class_Orderings_Olinorder(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1966]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1964,plain,
% 39.33/40.22      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12808_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17844,plain,
% 39.33/40.22      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1964]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1962,plain,
% 39.33/40.22      ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12809_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17840,plain,
% 39.33/40.22      ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1962]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1960,plain,
% 39.33/40.22      ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12810_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17836,plain,
% 39.33/40.22      ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1960]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1958,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12811_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17832,plain,
% 39.33/40.22      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1958]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1956,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12812_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17828,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1956]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17829,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_17828]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1954,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12813_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17824,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1954]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1952,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12814_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17820,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1952]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17821,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.22      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_17820]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1950,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12815_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17816,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1950]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1948,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12816_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17812,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1948]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1946,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12817_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17808,plain,
% 39.33/40.22      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1946]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1944,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12818_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17804,plain,
% 39.33/40.22      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1944]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1942,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12819_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17800,plain,
% 39.33/40.22      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1942]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1940,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12820_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17796,plain,
% 39.33/40.22      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1940]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17797,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.22      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_17796]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1938,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12821_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17792,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1938]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1936,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12822_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17788,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1936]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1934,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12823_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17784,plain,
% 39.33/40.22      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1934]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1932,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12824_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17780,plain,
% 39.33/40.22      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1932]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17781,plain,
% 39.33/40.22      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.22      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 39.33/40.22      inference(rewriting,[status(thm)],[c_17780]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1930,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12825_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17776,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1930]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1928,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12826_1) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_17772,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      inference(copy,[status(esa)],[c_1928]) ).
% 39.33/40.22  
% 39.33/40.22  cnf(c_1926,plain,
% 39.33/40.22      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.33/40.22      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.22      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12827_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17768,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1926]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1924,plain,
% 39.33/40.23      ( class_HOL_Otimes(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12828_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17764,plain,
% 39.33/40.23      ( class_HOL_Otimes(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1924]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1922,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12829_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17760,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1922]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17761,plain,
% 39.33/40.23      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.33/40.23      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.33/40.23      inference(rewriting,[status(thm)],[c_17760]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1920,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12830_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17756,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1920]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1918,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12831_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17752,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1918]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1916,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12832_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17748,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1916]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1914,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12833_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17744,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1914]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1912,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12834_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17740,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1912]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1910,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12835_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17736,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1910]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1908,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12836_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17732,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1908]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1906,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12837_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17728,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1906]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1904,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__ring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12838_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17724,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__ring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1904]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1902,plain,
% 39.33/40.23      ( class_Ring__and__Field_Olordered__ring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12839_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17720,plain,
% 39.33/40.23      ( class_Ring__and__Field_Olordered__ring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1902]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1900,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12840_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17716,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1900]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1898,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12841_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17712,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1898]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1896,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12842_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17708,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1896]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1894,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12843_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17704,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1894]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1892,plain,
% 39.33/40.23      ( class_Orderings_Oord(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12844_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17700,plain,
% 39.33/40.23      ( class_Orderings_Oord(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1892]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1890,plain,
% 39.33/40.23      ( class_Orderings_Oorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12845_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17696,plain,
% 39.33/40.23      ( class_Orderings_Oorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1890]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1888,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12846_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17692,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1888]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1886,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12847_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17688,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1886]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1884,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12848_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17684,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1884]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1882,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12849_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17680,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1882]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1880,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12850_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17676,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1880]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1878,plain,
% 39.33/40.23      ( class_LOrder_Omeet__semilorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12851_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17672,plain,
% 39.33/40.23      ( class_LOrder_Omeet__semilorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1878]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1876,plain,
% 39.33/40.23      ( class_HOL_Ominus(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12852_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17668,plain,
% 39.33/40.23      ( class_HOL_Ominus(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1876]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1874,plain,
% 39.33/40.23      ( class_LOrder_Ojoin__semilorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12853_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17664,plain,
% 39.33/40.23      ( class_LOrder_Ojoin__semilorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1874]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1872,plain,
% 39.33/40.23      ( class_LOrder_Olorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12854_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17660,plain,
% 39.33/40.23      ( class_LOrder_Olorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1872]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1870,plain,
% 39.33/40.23      ( class_Orderings_Olinorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12855_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17656,plain,
% 39.33/40.23      ( class_Orderings_Olinorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1870]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1868,plain,
% 39.33/40.23      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12856_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17652,plain,
% 39.33/40.23      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1868]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1866,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12857_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17648,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1866]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1864,plain,
% 39.33/40.23      ( class_HOL_Ozero(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12858_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17644,plain,
% 39.33/40.23      ( class_HOL_Ozero(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1864]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1862,plain,
% 39.33/40.23      ( class_HOL_Oplus(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12859_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17640,plain,
% 39.33/40.23      ( class_HOL_Oplus(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1862]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1860,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12860_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17636,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1860]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17637,plain,
% 39.33/40.23      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.33/40.23      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.33/40.23      inference(rewriting,[status(thm)],[c_17636]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1858,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12861_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17632,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1858]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17633,plain,
% 39.33/40.23      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.33/40.23      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.33/40.23      inference(rewriting,[status(thm)],[c_17632]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1856,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12862_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17628,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1856]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1854,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12863_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17624,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1854]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1852,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12864_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17620,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1852]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1850,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12865_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17616,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1850]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1848,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12866_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17612,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1848]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1846,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12867_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17608,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1846]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1844,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12868_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17604,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1844]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1842,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oidom(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12869_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17600,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oidom(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1842]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1840,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12870_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17596,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1840]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1838,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12871_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17592,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1838]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1836,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12872_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17588,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1836]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1834,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12873_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17584,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1834]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1832,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12874_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17580,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1832]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1830,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12875_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17576,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1830]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1828,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12876_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17572,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1828]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1826,plain,
% 39.33/40.23      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12877_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17568,plain,
% 39.33/40.23      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1826]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1824,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__ring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12878_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17564,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__ring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1824]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1822,plain,
% 39.33/40.23      ( class_Ring__and__Field_Olordered__ring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12879_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17560,plain,
% 39.33/40.23      ( class_Ring__and__Field_Olordered__ring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1822]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1820,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12880_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17556,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1820]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1818,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12881_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17552,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1818]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1816,plain,
% 39.33/40.23      ( class_Orderings_Oord(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12882_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17548,plain,
% 39.33/40.23      ( class_Orderings_Oord(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1816]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1814,plain,
% 39.33/40.23      ( class_Orderings_Oorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12883_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17544,plain,
% 39.33/40.23      ( class_Orderings_Oorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1814]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1812,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12884_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17540,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1812]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1810,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12885_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17536,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1810]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1808,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12886_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17532,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1808]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1806,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12887_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17528,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1806]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1804,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12888_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17524,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1804]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1802,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12889_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17520,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1802]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1800,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12890_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17516,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1800]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1798,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12891_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17512,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1798]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1796,plain,
% 39.33/40.23      ( class_LOrder_Omeet__semilorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12892_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17508,plain,
% 39.33/40.23      ( class_LOrder_Omeet__semilorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1796]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1794,plain,
% 39.33/40.23      ( class_LOrder_Ojoin__semilorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12893_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17504,plain,
% 39.33/40.23      ( class_LOrder_Ojoin__semilorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1794]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1792,plain,
% 39.33/40.23      ( class_LOrder_Olorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12894_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17500,plain,
% 39.33/40.23      ( class_LOrder_Olorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1792]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1790,plain,
% 39.33/40.23      ( class_Orderings_Olinorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12895_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17496,plain,
% 39.33/40.23      ( class_Orderings_Olinorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1790]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1788,plain,
% 39.33/40.23      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12896_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17492,plain,
% 39.33/40.23      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1788]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1786,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12897_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17488,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1786]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1784,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12898_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17484,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1784]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1782,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12899_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17480,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1782]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1780,plain,
% 39.33/40.23      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12900_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17476,plain,
% 39.33/40.23      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1780]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1778,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12901_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17472,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1778]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17473,plain,
% 39.33/40.23      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.23      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.33/40.23      inference(rewriting,[status(thm)],[c_17472]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1776,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12902_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17468,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1776]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1774,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12903_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17464,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1774]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17465,plain,
% 39.33/40.23      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.23      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.33/40.23      inference(rewriting,[status(thm)],[c_17464]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1772,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12904_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17460,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1772]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1770,plain,
% 39.33/40.23      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12905_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17456,plain,
% 39.33/40.23      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1770]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1768,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12906_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17452,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1768]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1766,plain,
% 39.33/40.23      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12907_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17448,plain,
% 39.33/40.23      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1766]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1764,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12908_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17444,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1764]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17445,plain,
% 39.33/40.23      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.23      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.33/40.23      inference(rewriting,[status(thm)],[c_17444]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1762,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12909_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17440,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1762]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1760,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12910_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17436,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1760]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1758,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12911_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17432,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1758]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1756,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12912_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17428,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1756]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1754,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12913_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17424,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1754]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17425,plain,
% 39.33/40.23      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.23      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 39.33/40.23      inference(rewriting,[status(thm)],[c_17424]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1752,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12914_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17420,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1752]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1750,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12915_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17416,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1750]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1748,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12916_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17412,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1748]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1746,plain,
% 39.33/40.23      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12917_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17408,plain,
% 39.33/40.23      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1746]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1744,plain,
% 39.33/40.23      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12918_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17404,plain,
% 39.33/40.23      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1744]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1742,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12919_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17400,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1742]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1740,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12920_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17396,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1740]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1738,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__ring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12921_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17392,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__ring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1738]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1736,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12922_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17388,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1736]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1734,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12923_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17384,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1734]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1732,plain,
% 39.33/40.23      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12924_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17380,plain,
% 39.33/40.23      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1732]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1730,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12925_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17376,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1730]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1728,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12926_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17372,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oordered__semidom(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1728]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1726,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12927_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17368,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1726]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1724,plain,
% 39.33/40.23      ( class_Orderings_Oord(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12928_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17364,plain,
% 39.33/40.23      ( class_Orderings_Oord(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1724]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1722,plain,
% 39.33/40.23      ( class_Orderings_Oorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12929_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17360,plain,
% 39.33/40.23      ( class_Orderings_Oorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1722]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1720,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12930_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17356,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1720]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1718,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12931_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17352,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1718]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1716,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12932_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17348,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1716]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1714,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12933_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17344,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1714]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1712,plain,
% 39.33/40.23      ( class_LOrder_Omeet__semilorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12934_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17340,plain,
% 39.33/40.23      ( class_LOrder_Omeet__semilorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1712]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1710,plain,
% 39.33/40.23      ( class_LOrder_Ojoin__semilorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12935_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17336,plain,
% 39.33/40.23      ( class_LOrder_Ojoin__semilorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1710]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1708,plain,
% 39.33/40.23      ( class_LOrder_Olorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12936_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17332,plain,
% 39.33/40.23      ( class_LOrder_Olorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1708]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1706,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12937_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17328,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1706]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1704,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12938_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17324,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1704]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1702,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12939_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17320,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1702]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1700,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12940_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17316,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1700]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1698,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12941_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17312,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1698]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1696,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12942_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17308,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1696]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1694,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12943_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17304,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1694]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1692,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__ring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12944_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17300,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__ring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1692]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1690,plain,
% 39.33/40.23      ( class_Ring__and__Field_Olordered__ring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12945_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17296,plain,
% 39.33/40.23      ( class_Ring__and__Field_Olordered__ring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1690]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1688,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12946_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17292,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1688]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1686,plain,
% 39.33/40.23      ( class_Orderings_Olinorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12947_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17288,plain,
% 39.33/40.23      ( class_Orderings_Olinorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1686]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1684,plain,
% 39.33/40.23      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12948_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17284,plain,
% 39.33/40.23      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1684]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1682,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__ring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12949_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17280,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__ring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1682]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1680,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12950_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17276,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1680]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1678,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12951_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17272,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1678]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1676,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12952_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17268,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1676]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1674,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12953_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17264,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1674]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1672,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12954_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17260,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1672]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1670,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12955_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17256,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oordered__idom(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1670]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1668,plain,
% 39.33/40.23      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12956_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17252,plain,
% 39.33/40.23      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1668]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1666,plain,
% 39.33/40.23      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12957_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17248,plain,
% 39.33/40.23      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1666]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1664,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12958_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17244,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1664]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1662,plain,
% 39.33/40.23      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12959_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17240,plain,
% 39.33/40.23      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1662]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1660,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12960_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17236,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1660]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1658,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12961_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17232,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1658]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1656,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12962_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17228,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1656]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1654,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12963_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17224,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1654]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1652,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12964_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17220,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1652]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1650,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12965_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17216,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1650]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1648,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12966_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17212,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1648]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1646,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12967_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17208,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1646]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1644,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12968_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17204,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1644]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1642,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12969_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17200,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1642]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1640,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12970_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17196,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1640]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1638,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oidom(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12971_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17192,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oidom(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1638]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1636,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12972_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17188,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1636]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1634,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12973_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17184,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1634]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1632,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12974_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17180,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1632]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1630,plain,
% 39.33/40.23      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12975_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17176,plain,
% 39.33/40.23      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1630]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1628,plain,
% 39.33/40.23      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12976_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17172,plain,
% 39.33/40.23      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1628]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1626,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12977_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17168,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1626]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1624,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12978_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17164,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1624]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1622,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12979_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17160,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1622]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1620,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12980_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17156,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1620]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1618,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12981_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17152,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1618]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1616,plain,
% 39.33/40.23      ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12982_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17148,plain,
% 39.33/40.23      ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1616]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1614,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ofield(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12983_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17144,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ofield(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1614]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1612,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12984_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17140,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1612]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17141,plain,
% 39.33/40.23      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 39.33/40.23      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.33/40.23      inference(rewriting,[status(thm)],[c_17140]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1610,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12985_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17136,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1610]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17137,plain,
% 39.33/40.23      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 39.33/40.23      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.33/40.23      inference(rewriting,[status(thm)],[c_17136]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1608,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12986_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17132,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1608]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1606,plain,
% 39.33/40.23      ( class_HOL_Otimes(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12987_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17128,plain,
% 39.33/40.23      ( class_HOL_Otimes(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1606]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1604,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12988_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17124,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1604]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17125,plain,
% 39.33/40.23      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 39.33/40.23      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.33/40.23      inference(rewriting,[status(thm)],[c_17124]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1602,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12989_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17120,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1602]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1600,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12990_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17116,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1600]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1598,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12991_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17112,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1598]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1596,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12992_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17108,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1596]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1594,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12993_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17104,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1594]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1592,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12994_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17100,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1592]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1590,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12995_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17096,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1590]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1588,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12996_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17092,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1588]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1586,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12997_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17088,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1586]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1584,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12998_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17084,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1584]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1582,plain,
% 39.33/40.23      ( class_Orderings_Oord(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12999_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17080,plain,
% 39.33/40.23      ( class_Orderings_Oord(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1582]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17081,plain,
% 39.33/40.23      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 39.33/40.23      | class_Orderings_Oord(X0) ),
% 39.33/40.23      inference(rewriting,[status(thm)],[c_17080]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1580,plain,
% 39.33/40.23      ( class_Orderings_Oorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13000_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17076,plain,
% 39.33/40.23      ( class_Orderings_Oorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1580]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1578,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13001_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17072,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1578]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17073,plain,
% 39.33/40.23      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 39.33/40.23      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 39.33/40.23      inference(rewriting,[status(thm)],[c_17072]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1576,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13002_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17068,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1576]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1574,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13003_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17064,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1574]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1572,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13004_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17060,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1572]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1570,plain,
% 39.33/40.23      ( class_LOrder_Omeet__semilorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13005_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17056,plain,
% 39.33/40.23      ( class_LOrder_Omeet__semilorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1570]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1568,plain,
% 39.33/40.23      ( class_LOrder_Ojoin__semilorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13006_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17052,plain,
% 39.33/40.23      ( class_LOrder_Ojoin__semilorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1568]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1566,plain,
% 39.33/40.23      ( class_LOrder_Olorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13007_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17048,plain,
% 39.33/40.23      ( class_LOrder_Olorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1566]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1564,plain,
% 39.33/40.23      ( class_Orderings_Olinorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13008_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17044,plain,
% 39.33/40.23      ( class_Orderings_Olinorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1564]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1562,plain,
% 39.33/40.23      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13009_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17040,plain,
% 39.33/40.23      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1562]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1560,plain,
% 39.33/40.23      ( class_HOL_Ozero(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13010_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17036,plain,
% 39.33/40.23      ( class_HOL_Ozero(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1560]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1558,plain,
% 39.33/40.23      ( class_HOL_Oplus(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13011_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17032,plain,
% 39.33/40.23      ( class_HOL_Oplus(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1558]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1556,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13012_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17028,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1556]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1554,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13013_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17024,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1554]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1552,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13014_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17020,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1552]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1550,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13015_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17016,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1550]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1548,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13016_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17012,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1548]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1546,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13017_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17008,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1546]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1544,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13018_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17004,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1544]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1542,plain,
% 39.33/40.23      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13019_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_17000,plain,
% 39.33/40.23      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1542]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1540,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13020_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16996,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1540]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1538,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13021_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16992,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1538]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1536,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13022_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16988,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1536]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1534,plain,
% 39.33/40.23      ( class_LOrder_Omeet__semilorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13023_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16984,plain,
% 39.33/40.23      ( class_LOrder_Omeet__semilorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1534]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1532,plain,
% 39.33/40.23      ( class_LOrder_Ojoin__semilorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13024_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16980,plain,
% 39.33/40.23      ( class_LOrder_Ojoin__semilorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1532]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1530,plain,
% 39.33/40.23      ( class_LOrder_Olorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13025_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16976,plain,
% 39.33/40.23      ( class_LOrder_Olorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1530]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1528,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13026_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16972,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1528]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1526,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13027_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16968,plain,
% 39.33/40.23      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1526]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1524,plain,
% 39.33/40.23      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13028_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16964,plain,
% 39.33/40.23      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1524]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1522,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13029_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16960,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1522]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16961,plain,
% 39.33/40.23      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 39.33/40.23      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.33/40.23      inference(rewriting,[status(thm)],[c_16960]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1520,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13030_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16956,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1520]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1518,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13031_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16952,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1518]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16953,plain,
% 39.33/40.23      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 39.33/40.23      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.33/40.23      inference(rewriting,[status(thm)],[c_16952]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1516,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13032_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16948,plain,
% 39.33/40.23      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1516]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1514,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13033_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16944,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1514]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1512,plain,
% 39.33/40.23      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13034_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16940,plain,
% 39.33/40.23      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1512]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1510,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13035_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16936,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1510]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1508,plain,
% 39.33/40.23      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13036_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16932,plain,
% 39.33/40.23      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1508]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1506,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13037_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16928,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1506]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16929,plain,
% 39.33/40.23      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 39.33/40.23      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.33/40.23      inference(rewriting,[status(thm)],[c_16928]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1504,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13038_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16924,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1504]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1502,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13039_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16920,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1502]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1500,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13040_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16916,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1500]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1498,plain,
% 39.33/40.23      ( class_Orderings_Oord(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13041_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16912,plain,
% 39.33/40.23      ( class_Orderings_Oord(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1498]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1496,plain,
% 39.33/40.23      ( class_Orderings_Oorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13042_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16908,plain,
% 39.33/40.23      ( class_Orderings_Oorder(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1496]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1494,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13043_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16904,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1494]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1492,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__ring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13044_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16900,plain,
% 39.33/40.23      ( class_Ring__and__Field_Opordered__ring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1492]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1490,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13045_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16896,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1490]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1488,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13046_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16892,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1488]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1486,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13047_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16888,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1486]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1484,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13048_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16884,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1484]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1482,plain,
% 39.33/40.23      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13049_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16880,plain,
% 39.33/40.23      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1482]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1480,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13050_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16876,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1480]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1478,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13051_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16872,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1478]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1476,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oring(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13052_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16868,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oring(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1476]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1474,plain,
% 39.33/40.23      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13053_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16864,plain,
% 39.33/40.23      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1474]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1472,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13054_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16860,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1472]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16861,plain,
% 39.33/40.23      ( ~ class_Ring__and__Field_Oidom(X0)
% 39.33/40.23      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.33/40.23      inference(rewriting,[status(thm)],[c_16860]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1470,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13055_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16856,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1470]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1468,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13056_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16852,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1468]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16853,plain,
% 39.33/40.23      ( ~ class_Ring__and__Field_Oidom(X0)
% 39.33/40.23      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.33/40.23      inference(rewriting,[status(thm)],[c_16852]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1466,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13057_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16848,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1466]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1464,plain,
% 39.33/40.23      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13058_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16844,plain,
% 39.33/40.23      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1464]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1462,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13059_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16840,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1462]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1460,plain,
% 39.33/40.23      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13060_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16836,plain,
% 39.33/40.23      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1460]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1458,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13061_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16832,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1458]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16833,plain,
% 39.33/40.23      ( ~ class_Ring__and__Field_Oidom(X0)
% 39.33/40.23      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.33/40.23      inference(rewriting,[status(thm)],[c_16832]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1456,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13062_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16828,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1456]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1454,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13063_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16824,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1454]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1452,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13064_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16820,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1452]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1450,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13065_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16816,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1450]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1448,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13066_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16812,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1448]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16813,plain,
% 39.33/40.23      ( ~ class_Ring__and__Field_Oidom(X0)
% 39.33/40.23      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 39.33/40.23      inference(rewriting,[status(thm)],[c_16812]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1446,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13067_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16808,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1446]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1444,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13068_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16804,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1444]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1442,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13069_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16800,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1442]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1440,plain,
% 39.33/40.23      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13070_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16796,plain,
% 39.33/40.23      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1440]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1438,plain,
% 39.33/40.23      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13071_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16792,plain,
% 39.33/40.23      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1438]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1436,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13072_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16788,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1436]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1434,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13073_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16784,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1434]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1432,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__ring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13074_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16780,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__ring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1432]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1430,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13075_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16776,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Oidom(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1430]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1428,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13076_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16772,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1428]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1426,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13077_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16768,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1426]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1424,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13078_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16764,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1424]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1422,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13079_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16760,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1422]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1420,plain,
% 39.33/40.23      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13080_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16756,plain,
% 39.33/40.23      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1420]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1418,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13081_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16752,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__group__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1418]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1416,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13082_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16748,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1416]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1414,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oidom(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13083_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16744,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oidom(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1414]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1412,plain,
% 39.33/40.23      ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13084_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16740,plain,
% 39.33/40.23      ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1412]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1410,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13085_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16736,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1410]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1408,plain,
% 39.33/40.23      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13086_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16732,plain,
% 39.33/40.23      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1408]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1406,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13087_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16728,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1406]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1404,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13088_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16724,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1404]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1402,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13089_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16720,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1402]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1400,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13090_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16716,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1400]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1398,plain,
% 39.33/40.23      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13091_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16712,plain,
% 39.33/40.23      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1398]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1396,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13092_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16708,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1396]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1394,plain,
% 39.33/40.23      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13093_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16704,plain,
% 39.33/40.23      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1394]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1392,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13094_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16700,plain,
% 39.33/40.23      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1392]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1390,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13095_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16696,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1390]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1388,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13096_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16692,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1388]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1386,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13097_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16688,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1386]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1384,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13098_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16684,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1384]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1382,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13099_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16680,plain,
% 39.33/40.23      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1382]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1380,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13100_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16676,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1380]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1378,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13101_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16672,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1378]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1376,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13102_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16668,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1376]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1374,plain,
% 39.33/40.23      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13103_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16664,plain,
% 39.33/40.23      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1374]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1372,plain,
% 39.33/40.23      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13104_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16660,plain,
% 39.33/40.23      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1372]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1370,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13105_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16656,plain,
% 39.33/40.23      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1370]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1368,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13106_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16652,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1368]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1366,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__ring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13107_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16648,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__ring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1366]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1364,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13108_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16644,plain,
% 39.33/40.23      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ofield(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1364]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1362,plain,
% 39.33/40.23      ( class_HOL_Oinverse(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13109_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16640,plain,
% 39.33/40.23      ( class_HOL_Oinverse(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1362]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16641,plain,
% 39.33/40.23      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 39.33/40.23      | class_HOL_Oinverse(X0) ),
% 39.33/40.23      inference(rewriting,[status(thm)],[c_16640]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1360,plain,
% 39.33/40.23      ( class_HOL_Ozero(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13110_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16636,plain,
% 39.33/40.23      ( class_HOL_Ozero(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1360]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1358,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13111_1) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_16632,plain,
% 39.33/40.23      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.33/40.23      inference(copy,[status(esa)],[c_1358]) ).
% 39.33/40.23  
% 39.33/40.23  cnf(c_1356,plain,
% 39.33/40.23      ( class_Ring__and__Field_Osemiring(X0)
% 39.33/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.33/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13112_1) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_16628,plain,
% 39.42/40.23      ( class_Ring__and__Field_Osemiring(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      inference(copy,[status(esa)],[c_1356]) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_1354,plain,
% 39.42/40.23      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13113_1) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_16624,plain,
% 39.42/40.23      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      inference(copy,[status(esa)],[c_1354]) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_1352,plain,
% 39.42/40.23      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13114_1) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_16620,plain,
% 39.42/40.23      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      inference(copy,[status(esa)],[c_1352]) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_1350,plain,
% 39.42/40.23      ( class_Ring__and__Field_Osemiring__1(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13115_1) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_16616,plain,
% 39.42/40.23      ( class_Ring__and__Field_Osemiring__1(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      inference(copy,[status(esa)],[c_1350]) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_1348,plain,
% 39.42/40.23      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13116_1) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_16612,plain,
% 39.42/40.23      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      inference(copy,[status(esa)],[c_1348]) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_16613,plain,
% 39.42/40.23      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.42/40.23      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 39.42/40.23      inference(rewriting,[status(thm)],[c_16612]) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_1346,plain,
% 39.42/40.23      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13117_1) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_16608,plain,
% 39.42/40.23      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      inference(copy,[status(esa)],[c_1346]) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_1344,plain,
% 39.42/40.23      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13118_1) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_16604,plain,
% 39.42/40.23      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      inference(copy,[status(esa)],[c_1344]) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_1342,plain,
% 39.42/40.23      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13119_1) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_16600,plain,
% 39.42/40.23      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      inference(copy,[status(esa)],[c_1342]) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_1340,plain,
% 39.42/40.23      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13120_1) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_16596,plain,
% 39.42/40.23      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      inference(copy,[status(esa)],[c_1340]) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_1338,plain,
% 39.42/40.23      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13121_1) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_16592,plain,
% 39.42/40.23      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      inference(copy,[status(esa)],[c_1338]) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_1336,plain,
% 39.42/40.23      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13122_1) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_16588,plain,
% 39.42/40.23      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      inference(copy,[status(esa)],[c_1336]) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_1334,plain,
% 39.42/40.23      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13123_1) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_16584,plain,
% 39.42/40.23      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      inference(copy,[status(esa)],[c_1334]) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_1332,plain,
% 39.42/40.23      ( class_HOL_Otimes(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13124_1) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_16580,plain,
% 39.42/40.23      ( class_HOL_Otimes(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      inference(copy,[status(esa)],[c_1332]) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_16581,plain,
% 39.42/40.23      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.42/40.23      | class_HOL_Otimes(X0) ),
% 39.42/40.23      inference(rewriting,[status(thm)],[c_16580]) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_1330,plain,
% 39.42/40.23      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13125_1) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_16576,plain,
% 39.42/40.23      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      inference(copy,[status(esa)],[c_1330]) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_16577,plain,
% 39.42/40.23      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.42/40.23      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.42/40.23      inference(rewriting,[status(thm)],[c_16576]) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_1328,plain,
% 39.42/40.23      ( class_HOL_Oone(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13126_1) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_16572,plain,
% 39.42/40.23      ( class_HOL_Oone(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      inference(copy,[status(esa)],[c_1328]) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_1326,plain,
% 39.42/40.23      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13127_1) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_16568,plain,
% 39.42/40.23      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      inference(copy,[status(esa)],[c_1326]) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_1324,plain,
% 39.42/40.23      ( class_HOL_Oplus(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13128_1) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_16564,plain,
% 39.42/40.23      ( class_HOL_Oplus(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      inference(copy,[status(esa)],[c_1324]) ).
% 39.42/40.23  
% 39.42/40.23  cnf(c_1322,plain,
% 39.42/40.23      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.23      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.23      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13129_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16560,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1322]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16561,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16560]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1320,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13130_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16556,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1320]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16557,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16556]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1318,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13131_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16552,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1318]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16553,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.42/40.24      | class_HOL_Ozero(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16552]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1316,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13132_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16548,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1316]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1314,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13133_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16544,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1314]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1312,plain,
% 39.42/40.24      ( class_HOL_Otimes(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13134_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16540,plain,
% 39.42/40.24      ( class_HOL_Otimes(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1312]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16541,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 39.42/40.24      | class_HOL_Otimes(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16540]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1310,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13135_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16536,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1310]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16537,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16536]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1308,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13136_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16532,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1308]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1306,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13137_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16528,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1306]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1304,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13138_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16524,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1304]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16525,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16524]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1302,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13139_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16520,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1302]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1300,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13140_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16516,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1300]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1298,plain,
% 39.42/40.24      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13141_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16512,plain,
% 39.42/40.24      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1298]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1296,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__1(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13142_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16508,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__1(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1296]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1294,plain,
% 39.42/40.24      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13143_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16504,plain,
% 39.42/40.24      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1294]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1292,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13144_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16500,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1292]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1290,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13145_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16496,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1290]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1288,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13146_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16492,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1288]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16493,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16492]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1286,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13147_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16488,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1286]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16489,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16488]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1284,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13148_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16484,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1284]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1282,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13149_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16480,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1282]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16481,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0) | class_HOL_Ozero(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16480]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1280,plain,
% 39.42/40.24      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13150_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16476,plain,
% 39.42/40.24      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1280]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1278,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13151_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16472,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1278]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16473,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16472]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1276,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13152_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16468,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1276]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16469,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16468]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1274,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13153_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16464,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1274]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1272,plain,
% 39.42/40.24      ( class_HOL_Otimes(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13154_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16460,plain,
% 39.42/40.24      ( class_HOL_Otimes(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1272]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16461,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.42/40.24      | class_HOL_Otimes(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16460]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1270,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13155_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16456,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1270]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16457,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16456]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1268,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13156_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16452,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1268]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1266,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13157_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16448,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1266]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1264,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13158_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16444,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1264]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16445,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16444]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1262,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13159_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16440,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1262]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1260,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13160_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16436,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1260]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1258,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13161_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16432,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1258]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1256,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13162_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16428,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1256]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16429,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.42/40.24      | class_HOL_Ozero(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16428]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1254,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13163_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16424,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1254]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1252,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13164_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16420,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1252]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1250,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13165_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16416,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1250]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1248,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13166_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16412,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1248]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16413,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0) | class_HOL_Ozero(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16412]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1246,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13167_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16408,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1246]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1244,plain,
% 39.42/40.24      ( class_HOL_Otimes(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13168_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16404,plain,
% 39.42/40.24      ( class_HOL_Otimes(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1244]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16405,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.42/40.24      | class_HOL_Otimes(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16404]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1242,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13169_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16400,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1242]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16401,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16400]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1240,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13170_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16396,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1240]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16397,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0) | class_HOL_Oplus(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16396]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1238,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13171_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16392,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1238]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16393,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16392]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1236,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13172_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16388,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1236]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16389,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16388]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1234,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13173_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16384,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1234]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1232,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13174_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16380,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1232]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1230,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13175_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16376,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1230]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16377,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16376]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1228,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13176_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16372,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1228]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1226,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13177_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16368,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1226]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1224,plain,
% 39.42/40.24      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13178_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16364,plain,
% 39.42/40.24      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1224]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16365,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring(X0) | class_HOL_Otimes(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16364]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1222,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13179_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16360,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1222]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16361,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16360]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1220,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13180_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16356,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1220]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16357,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16356]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1218,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13181_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16352,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1218]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16353,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring(X0) | class_HOL_Oplus(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16352]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1216,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13182_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16348,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1216]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16349,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16348]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1214,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13183_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16344,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1214]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16345,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16344]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1212,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13184_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16340,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1212]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1210,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13185_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16336,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1210]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1208,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13186_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16332,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1208]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16333,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16332]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1206,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13187_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16328,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1206]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1204,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13188_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16324,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1204]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1202,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13189_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16320,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1202]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1200,plain,
% 39.42/40.24      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13190_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16316,plain,
% 39.42/40.24      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1200]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1198,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13191_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16312,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1198]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1196,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13192_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16308,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1196]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1194,plain,
% 39.42/40.24      ( class_Ring__and__Field_Oring__1(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13193_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16304,plain,
% 39.42/40.24      ( class_Ring__and__Field_Oring__1(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1194]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1192,plain,
% 39.42/40.24      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13194_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16300,plain,
% 39.42/40.24      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1192]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1190,plain,
% 39.42/40.24      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13195_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16296,plain,
% 39.42/40.24      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1190]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1188,plain,
% 39.42/40.24      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13196_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16292,plain,
% 39.42/40.24      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1188]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1186,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__1(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13197_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16288,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__1(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1186]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1184,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13198_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16284,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1184]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1182,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13199_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16280,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1182]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1180,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__group__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13200_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16276,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__group__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1180]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1178,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13201_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16272,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1178]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1176,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13202_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16268,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1176]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16269,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16268]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1174,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13203_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16264,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1174]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1172,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13204_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16260,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1172]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16261,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16260]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1170,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13205_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16256,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1170]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1168,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13206_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16252,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1168]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16253,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Ozero(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16252]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1166,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13207_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16248,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1166]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1164,plain,
% 39.42/40.24      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13208_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16244,plain,
% 39.42/40.24      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1164]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1162,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13209_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16240,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1162]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16241,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16240]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1160,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13210_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16236,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1160]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1158,plain,
% 39.42/40.24      ( class_Ring__and__Field_Oring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13211_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16232,plain,
% 39.42/40.24      ( class_Ring__and__Field_Oring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1158]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1156,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__ring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13212_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16228,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__ring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1156]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1154,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13213_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16224,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1154]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16225,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16224]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1152,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13214_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16220,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1152]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16221,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16220]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1150,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13215_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16216,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1150]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1148,plain,
% 39.42/40.24      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13216_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16212,plain,
% 39.42/40.24      ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1148]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16213,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Otimes(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16212]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1146,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13217_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16208,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1146]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16209,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16208]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1144,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13218_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16204,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1144]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1142,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13219_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16200,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1142]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1140,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13220_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16196,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1140]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16197,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16196]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1138,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13221_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16192,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1138]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1136,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13222_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16188,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1136]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1134,plain,
% 39.42/40.24      ( class_Ring__and__Field_Oring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13223_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16184,plain,
% 39.42/40.24      ( class_Ring__and__Field_Oring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1134]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1132,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13224_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16180,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1132]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1130,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13225_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16176,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1130]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1128,plain,
% 39.42/40.24      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13226_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16172,plain,
% 39.42/40.24      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1128]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1126,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__group__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13227_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16168,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__group__add(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1126]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1124,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13228_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16164,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1124]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16165,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Ozero(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16164]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1122,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13229_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16160,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1122]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1120,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13230_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16156,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1120]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1118,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13231_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16152,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1118]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1116,plain,
% 39.42/40.24      ( class_HOL_Otimes(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13232_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16148,plain,
% 39.42/40.24      ( class_HOL_Otimes(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1116]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1114,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13233_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16144,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1114]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1112,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13234_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16140,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1112]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1110,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13235_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16136,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1110]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16137,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Oaxclass__abs__if(X0)
% 39.42/40.24      | class_Orderings_Oord(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16136]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1108,plain,
% 39.42/40.24      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13236_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16132,plain,
% 39.42/40.24      ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1108]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1106,plain,
% 39.42/40.24      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13237_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16128,plain,
% 39.42/40.24      ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1106]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1104,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13238_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16124,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0)
% 39.42/40.24      | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1104]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16125,plain,
% 39.42/40.24      ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.42/40.24      | class_HOL_Ozero(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16124]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1102,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13239_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16120,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1102]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16121,plain,
% 39.42/40.24      ( ~ class_Power_Orecpower(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16120]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1100,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13240_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16116,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1100]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16117,plain,
% 39.42/40.24      ( ~ class_Power_Orecpower(X0) | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16116]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1098,plain,
% 39.42/40.24      ( class_HOL_Otimes(X0) | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13241_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16112,plain,
% 39.42/40.24      ( class_HOL_Otimes(X0) | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1098]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1096,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13242_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16108,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1096]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16109,plain,
% 39.42/40.24      ( ~ class_Power_Orecpower(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16108]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1094,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0) | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13243_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16104,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0) | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1094]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1092,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0) | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13244_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16100,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0) | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1092]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1090,plain,
% 39.42/40.24      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13245_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16096,plain,
% 39.42/40.24      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1090]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1088,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13246_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16092,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1088]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1086,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13247_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16088,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1086]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1084,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13248_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16084,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1084]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1082,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13249_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16080,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1082]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1080,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13250_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16076,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1080]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1078,plain,
% 39.42/40.24      ( class_HOL_Oone(X0) | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13251_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16072,plain,
% 39.42/40.24      ( class_HOL_Oone(X0) | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1078]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1076,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13252_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16068,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1076]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1074,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13253_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16064,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1074]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1072,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__1(X0) | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13254_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16060,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__1(X0) | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1072]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1070,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13255_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16056,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1070]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1068,plain,
% 39.42/40.24      ( class_OrderedGroup_Omonoid__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13256_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16052,plain,
% 39.42/40.24      ( class_OrderedGroup_Omonoid__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1068]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1066,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13257_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16048,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1066]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1064,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__0(X0) | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13258_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16044,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring__0(X0) | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1064]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1062,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13259_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16040,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1062]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1060,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13260_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16036,plain,
% 39.42/40.24      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.42/40.24      | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1060]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1058,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring(X0) | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13261_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16032,plain,
% 39.42/40.24      ( class_Ring__and__Field_Osemiring(X0) | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1058]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1056,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0) | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13262_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16028,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0) | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1056]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1054,plain,
% 39.42/40.24      ( class_Nat_Opower(X0) | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13263_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16024,plain,
% 39.42/40.24      ( class_Nat_Opower(X0) | ~ class_Power_Orecpower(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1054]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1052,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0) | ~ class_Orderings_Oorder(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13264_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16020,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0) | ~ class_Orderings_Oorder(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1052]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16021,plain,
% 39.42/40.24      ( ~ class_Orderings_Oorder(X0) | class_Orderings_Oord(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16020]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1050,plain,
% 39.42/40.24      ( class_Orderings_Oorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13265_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16016,plain,
% 39.42/40.24      ( class_Orderings_Oorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1050]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1048,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0) | ~ class_Orderings_Olinorder(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13266_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16012,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0) | ~ class_Orderings_Olinorder(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1048]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16013,plain,
% 39.42/40.24      ( ~ class_Orderings_Olinorder(X0) | class_Orderings_Oord(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_16012]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1046,plain,
% 39.42/40.24      ( class_LOrder_Omeet__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13267_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16008,plain,
% 39.42/40.24      ( class_LOrder_Omeet__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1046]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1044,plain,
% 39.42/40.24      ( class_LOrder_Ojoin__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13268_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16004,plain,
% 39.42/40.24      ( class_LOrder_Ojoin__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1044]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1042,plain,
% 39.42/40.24      ( class_LOrder_Olorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13269_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_16000,plain,
% 39.42/40.24      ( class_LOrder_Olorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1042]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1040,plain,
% 39.42/40.24      ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13270_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15996,plain,
% 39.42/40.24      ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1040]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1038,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13271_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15992,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1038]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1036,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13272_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15988,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1036]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1034,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13273_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15984,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1034]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1032,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13274_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15980,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1032]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1030,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13275_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15976,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1030]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15977,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15976]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1028,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13276_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15972,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1028]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15973,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15972]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1026,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13277_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15968,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1026]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15969,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.42/40.24      | class_Orderings_Oord(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15968]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1024,plain,
% 39.42/40.24      ( class_Orderings_Oorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13278_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15964,plain,
% 39.42/40.24      ( class_Orderings_Oorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1024]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1022,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13279_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15960,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1022]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1020,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13280_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15956,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1020]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1018,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13281_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15952,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1018]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15953,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15952]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1016,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13282_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15948,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1016]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1014,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13283_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15944,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1014]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15945,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15944]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1012,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13284_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15940,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1012]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1010,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13285_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15936,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1010]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15937,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.42/40.24      | class_Orderings_Oord(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15936]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1008,plain,
% 39.42/40.24      ( class_Orderings_Oorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13286_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15932,plain,
% 39.42/40.24      ( class_Orderings_Oorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1008]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1006,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13287_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15928,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1006]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1004,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13288_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15924,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1004]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1002,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13289_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15920,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1002]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_1000,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13290_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15916,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_1000]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15917,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15916]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_998,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13291_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15912,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_998]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15913,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15912]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_996,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13292_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15908,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_996]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15909,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.42/40.24      | class_Orderings_Oord(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15908]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_994,plain,
% 39.42/40.24      ( class_Orderings_Oorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13293_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15904,plain,
% 39.42/40.24      ( class_Orderings_Oorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_994]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_992,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13294_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15900,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_992]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_990,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13295_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15896,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_990]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_988,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13296_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15892,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_988]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15893,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15892]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_986,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13297_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15888,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_986]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_984,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13298_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15884,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_984]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15885,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15884]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_982,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13299_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15880,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_982]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_980,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13300_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15876,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_980]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_978,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13301_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15872,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_978]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_976,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13302_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15868,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_976]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_974,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13303_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15864,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_974]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_972,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13304_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15860,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_972]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15861,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.42/40.24      | class_Orderings_Oord(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15860]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_970,plain,
% 39.42/40.24      ( class_Orderings_Oorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13305_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15856,plain,
% 39.42/40.24      ( class_Orderings_Oorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_970]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_968,plain,
% 39.42/40.24      ( class_HOL_Ominus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13306_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15852,plain,
% 39.42/40.24      ( class_HOL_Ominus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_968]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_966,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__group__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13307_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15848,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__group__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_966]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_964,plain,
% 39.42/40.24      ( class_Orderings_Olinorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13308_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15844,plain,
% 39.42/40.24      ( class_Orderings_Olinorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_964]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_962,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13309_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15840,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_962]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_960,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13310_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15836,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_960]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15837,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15836]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_958,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13311_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15832,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_958]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_956,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13312_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15828,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_956]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15829,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15828]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_954,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13313_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15824,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_954]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_952,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13314_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15820,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_952]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15821,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 39.42/40.24      | class_Orderings_Oord(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15820]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_950,plain,
% 39.42/40.24      ( class_Orderings_Oorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13315_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15816,plain,
% 39.42/40.24      ( class_Orderings_Oorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_950]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_948,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13316_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15812,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_948]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_946,plain,
% 39.42/40.24      ( class_LOrder_Omeet__semilorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13317_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15808,plain,
% 39.42/40.24      ( class_LOrder_Omeet__semilorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_946]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_944,plain,
% 39.42/40.24      ( class_LOrder_Ojoin__semilorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13318_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15804,plain,
% 39.42/40.24      ( class_LOrder_Ojoin__semilorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_944]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_942,plain,
% 39.42/40.24      ( class_LOrder_Olorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13319_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15800,plain,
% 39.42/40.24      ( class_LOrder_Olorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_942]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_940,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13320_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15796,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_940]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_938,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13321_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15792,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_938]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_936,plain,
% 39.42/40.24      ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13322_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15788,plain,
% 39.42/40.24      ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_936]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15789,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Omonoid__mult(X0) | class_HOL_Otimes(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15788]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_934,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13323_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15784,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_934]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15785,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15784]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_932,plain,
% 39.42/40.24      ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13324_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15780,plain,
% 39.42/40.24      ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_932]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_930,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13325_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15776,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_930]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_928,plain,
% 39.42/40.24      ( class_Orderings_Oorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13326_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15772,plain,
% 39.42/40.24      ( class_Orderings_Oorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_928]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_926,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13327_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15768,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_926]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_924,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13328_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15764,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_924]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_922,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13329_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15760,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_922]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_920,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13330_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15756,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_920]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_918,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13331_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15752,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_918]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_916,plain,
% 39.42/40.24      ( class_HOL_Ominus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13332_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15748,plain,
% 39.42/40.24      ( class_HOL_Ominus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_916]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_914,plain,
% 39.42/40.24      ( class_LOrder_Ojoin__semilorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13333_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15744,plain,
% 39.42/40.24      ( class_LOrder_Ojoin__semilorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_914]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_912,plain,
% 39.42/40.24      ( class_LOrder_Olorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13334_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15740,plain,
% 39.42/40.24      ( class_LOrder_Olorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_912]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_910,plain,
% 39.42/40.24      ( class_OrderedGroup_Olordered__ab__group(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13335_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15736,plain,
% 39.42/40.24      ( class_OrderedGroup_Olordered__ab__group(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_910]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_908,plain,
% 39.42/40.24      ( class_LOrder_Omeet__semilorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13336_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15732,plain,
% 39.42/40.24      ( class_LOrder_Omeet__semilorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_908]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_906,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13337_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15728,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_906]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_904,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13338_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15724,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_904]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15725,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15724]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_902,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13339_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15720,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_902]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_900,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13340_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15716,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_900]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15717,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15716]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_898,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13341_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15712,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_898]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_896,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__group__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13342_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15708,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__group__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_896]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_894,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13343_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15704,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_894]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_892,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13344_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15700,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_892]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_890,plain,
% 39.42/40.24      ( class_Orderings_Oorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13345_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15696,plain,
% 39.42/40.24      ( class_Orderings_Oorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_890]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_888,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13346_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15692,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_888]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_886,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13347_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15688,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_886]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_884,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13348_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15684,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_884]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_882,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13349_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15680,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_882]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_880,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13350_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15676,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_880]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_878,plain,
% 39.42/40.24      ( class_HOL_Ominus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13351_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15672,plain,
% 39.42/40.24      ( class_HOL_Ominus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_878]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_876,plain,
% 39.42/40.24      ( class_LOrder_Omeet__semilorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13352_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15668,plain,
% 39.42/40.24      ( class_LOrder_Omeet__semilorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_876]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_874,plain,
% 39.42/40.24      ( class_LOrder_Olorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13353_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15664,plain,
% 39.42/40.24      ( class_LOrder_Olorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_874]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_872,plain,
% 39.42/40.24      ( class_OrderedGroup_Olordered__ab__group(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13354_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15660,plain,
% 39.42/40.24      ( class_OrderedGroup_Olordered__ab__group(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_872]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_870,plain,
% 39.42/40.24      ( class_LOrder_Ojoin__semilorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13355_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15656,plain,
% 39.42/40.24      ( class_LOrder_Ojoin__semilorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_870]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_868,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13356_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15652,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_868]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_866,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13357_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15648,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_866]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15649,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15648]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_864,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13358_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15644,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_864]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_862,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13359_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15640,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_862]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15641,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15640]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_860,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13360_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15636,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_860]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_858,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__group__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13361_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15632,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__group__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_858]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_856,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13362_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15628,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_856]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_854,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13363_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15624,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_854]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_852,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13364_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15620,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_852]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_850,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13365_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15616,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_850]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_848,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13366_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15612,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_848]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_846,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13367_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15608,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_846]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_844,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13368_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15604,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_844]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_842,plain,
% 39.42/40.24      ( class_HOL_Ominus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13369_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15600,plain,
% 39.42/40.24      ( class_HOL_Ominus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_842]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_840,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__group__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13370_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15596,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__group__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_840]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_838,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13371_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15592,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_838]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_836,plain,
% 39.42/40.24      ( class_Orderings_Oorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13372_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15588,plain,
% 39.42/40.24      ( class_Orderings_Oorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_836]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_834,plain,
% 39.42/40.24      ( class_LOrder_Omeet__semilorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13373_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15584,plain,
% 39.42/40.24      ( class_LOrder_Omeet__semilorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_834]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_832,plain,
% 39.42/40.24      ( class_LOrder_Ojoin__semilorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13374_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15580,plain,
% 39.42/40.24      ( class_LOrder_Ojoin__semilorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_832]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_830,plain,
% 39.42/40.24      ( class_LOrder_Olorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13375_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15576,plain,
% 39.42/40.24      ( class_LOrder_Olorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_830]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_828,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13376_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15572,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_828]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_826,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13377_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15568,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_826]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15569,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15568]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_824,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13378_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15564,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_824]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_822,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13379_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15560,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_822]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15561,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15560]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_820,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13380_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15556,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_820]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_818,plain,
% 39.42/40.24      ( class_OrderedGroup_Olordered__ab__group(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13381_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15552,plain,
% 39.42/40.24      ( class_OrderedGroup_Olordered__ab__group(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_818]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_816,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13382_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15548,plain,
% 39.42/40.24      ( class_Orderings_Oord(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_816]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15549,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 39.42/40.24      | class_Orderings_Oord(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15548]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_814,plain,
% 39.42/40.24      ( class_Orderings_Oorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13383_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15544,plain,
% 39.42/40.24      ( class_Orderings_Oorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_814]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_812,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13384_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15540,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_812]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_810,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13385_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15536,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_810]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_808,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13386_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15532,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_808]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_806,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13387_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15528,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_806]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_804,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13388_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15524,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_804]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_802,plain,
% 39.42/40.24      ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13389_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15520,plain,
% 39.42/40.24      ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_802]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_800,plain,
% 39.42/40.24      ( class_LOrder_Omeet__semilorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13390_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15516,plain,
% 39.42/40.24      ( class_LOrder_Omeet__semilorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_800]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_798,plain,
% 39.42/40.24      ( class_LOrder_Ojoin__semilorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13391_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15512,plain,
% 39.42/40.24      ( class_LOrder_Ojoin__semilorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_798]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_796,plain,
% 39.42/40.24      ( class_LOrder_Olorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13392_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15508,plain,
% 39.42/40.24      ( class_LOrder_Olorder(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_796]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_794,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13393_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15504,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_794]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_792,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13394_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15500,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_792]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15501,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15500]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_790,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13395_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15496,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_790]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_788,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13396_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15492,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_788]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15493,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15492]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_786,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13397_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15488,plain,
% 39.42/40.24      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_786]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_784,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__group__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13398_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15484,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__group__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_784]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_782,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13399_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15480,plain,
% 39.42/40.24      ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_782]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_780,plain,
% 39.42/40.24      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13400_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15476,plain,
% 39.42/40.24      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_780]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_778,plain,
% 39.42/40.24      ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13401_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15472,plain,
% 39.42/40.24      ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_778]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15473,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0) | class_HOL_Otimes(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15472]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_776,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13402_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15468,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_776]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15469,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15468]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_774,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13403_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15464,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_774]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15465,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15464]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_772,plain,
% 39.42/40.24      ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13404_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15460,plain,
% 39.42/40.24      ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_772]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_770,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13405_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15456,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_770]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15457,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | class_HOL_Oplus(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15456]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_768,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13406_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15452,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_768]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15453,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15452]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_766,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13407_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15448,plain,
% 39.42/40.24      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_766]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15449,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.24      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15448]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_764,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13408_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15444,plain,
% 39.42/40.24      ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_764]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15445,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | class_HOL_Ozero(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15444]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_762,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 39.42/40.24      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13409_1) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15440,plain,
% 39.42/40.24      ( class_HOL_Oplus(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 39.42/40.24      inference(copy,[status(esa)],[c_762]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_15441,plain,
% 39.42/40.24      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.24      | class_HOL_Oplus(X0) ),
% 39.42/40.24      inference(rewriting,[status(thm)],[c_15440]) ).
% 39.42/40.24  
% 39.42/40.24  cnf(c_760,plain,
% 39.42/40.24      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.24      | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13410_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15436,plain,
% 39.42/40.25      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.25      | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_760]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15437,plain,
% 39.42/40.25      ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.25      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.42/40.25      inference(rewriting,[status(thm)],[c_15436]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_758,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.25      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13411_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15432,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.25      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_758]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_756,plain,
% 39.42/40.25      ( class_HOL_Oplus(X0)
% 39.42/40.25      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13412_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15428,plain,
% 39.42/40.25      ( class_HOL_Oplus(X0)
% 39.42/40.25      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_756]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15429,plain,
% 39.42/40.25      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.25      | class_HOL_Oplus(X0) ),
% 39.42/40.25      inference(rewriting,[status(thm)],[c_15428]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_754,plain,
% 39.42/40.25      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.25      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13413_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15424,plain,
% 39.42/40.25      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.25      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_754]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15425,plain,
% 39.42/40.25      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.25      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.42/40.25      inference(rewriting,[status(thm)],[c_15424]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_752,plain,
% 39.42/40.25      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.25      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13414_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15420,plain,
% 39.42/40.25      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.25      | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_752]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15421,plain,
% 39.42/40.25      ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.25      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.25      inference(rewriting,[status(thm)],[c_15420]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_750,plain,
% 39.42/40.25      ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13415_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15416,plain,
% 39.42/40.25      ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_750]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_748,plain,
% 39.42/40.25      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.42/40.25      | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13416_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15412,plain,
% 39.42/40.25      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.42/40.25      | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_748]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_746,plain,
% 39.42/40.25      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13417_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15408,plain,
% 39.42/40.25      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_746]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_744,plain,
% 39.42/40.25      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.25      | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13418_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15404,plain,
% 39.42/40.25      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.25      | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_744]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_742,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.25      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13419_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15400,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.25      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_742]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_740,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.25      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13420_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15396,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.25      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_740]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_738,plain,
% 39.42/40.25      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13421_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15392,plain,
% 39.42/40.25      ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_738]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15393,plain,
% 39.42/40.25      ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Oplus(X0) ),
% 39.42/40.25      inference(rewriting,[status(thm)],[c_15392]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_736,plain,
% 39.42/40.25      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.25      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13422_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15388,plain,
% 39.42/40.25      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.25      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_736]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15389,plain,
% 39.42/40.25      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 39.42/40.25      | class_OrderedGroup_Osemigroup__add(X0) ),
% 39.42/40.25      inference(rewriting,[status(thm)],[c_15388]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_734,plain,
% 39.42/40.25      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.25      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13423_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15384,plain,
% 39.42/40.25      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.25      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_734]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15385,plain,
% 39.42/40.25      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 39.42/40.25      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.25      inference(rewriting,[status(thm)],[c_15384]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_732,plain,
% 39.42/40.25      ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13424_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15380,plain,
% 39.42/40.25      ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_732]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15381,plain,
% 39.42/40.25      ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Ozero(X0) ),
% 39.42/40.25      inference(rewriting,[status(thm)],[c_15380]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_730,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.25      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13425_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15376,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.25      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_730]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_728,plain,
% 39.42/40.25      ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13426_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15372,plain,
% 39.42/40.25      ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_728]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_726,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13427_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15368,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_726]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_724,plain,
% 39.42/40.25      ( class_HOL_Ozero(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13428_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15364,plain,
% 39.42/40.25      ( class_HOL_Ozero(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_724]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_722,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13429_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15360,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__semiring(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_722]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_720,plain,
% 39.42/40.25      ( class_Ring__and__Field_Osemiring(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13430_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15356,plain,
% 39.42/40.25      ( class_Ring__and__Field_Osemiring(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_720]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_718,plain,
% 39.42/40.25      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13431_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15352,plain,
% 39.42/40.25      ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_718]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15353,plain,
% 39.42/40.25      ( ~ class_Numeral_Onumber__ring(X0)
% 39.42/40.25      | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 39.42/40.25      inference(rewriting,[status(thm)],[c_15352]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_716,plain,
% 39.42/40.25      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13432_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15348,plain,
% 39.42/40.25      ( class_OrderedGroup_Osemigroup__mult(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_716]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15349,plain,
% 39.42/40.25      ( ~ class_Numeral_Onumber__ring(X0)
% 39.42/40.25      | class_OrderedGroup_Osemigroup__mult(X0) ),
% 39.42/40.25      inference(rewriting,[status(thm)],[c_15348]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_714,plain,
% 39.42/40.25      ( class_Numeral_Onumber(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13433_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15344,plain,
% 39.42/40.25      ( class_Numeral_Onumber(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_714]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_712,plain,
% 39.42/40.25      ( class_HOL_Otimes(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13434_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15340,plain,
% 39.42/40.25      ( class_HOL_Otimes(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_712]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_710,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13435_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15336,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_710]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_708,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13436_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15332,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_708]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_706,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oring__1(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13437_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15328,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oring__1(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_706]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_704,plain,
% 39.42/40.25      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13438_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15324,plain,
% 39.42/40.25      ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_704]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_702,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13439_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15320,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_702]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_700,plain,
% 39.42/40.25      ( class_Ring__and__Field_Osemiring__1(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13440_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15316,plain,
% 39.42/40.25      ( class_Ring__and__Field_Osemiring__1(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_700]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_698,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13441_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15312,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_698]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_696,plain,
% 39.42/40.25      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13442_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15308,plain,
% 39.42/40.25      ( class_OrderedGroup_Omonoid__mult(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_696]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_694,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13443_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15304,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_694]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_692,plain,
% 39.42/40.25      ( class_HOL_Oone(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13444_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15300,plain,
% 39.42/40.25      ( class_HOL_Oone(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_692]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_690,plain,
% 39.42/40.25      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13445_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15296,plain,
% 39.42/40.25      ( class_OrderedGroup_Oab__semigroup__add(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_690]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15297,plain,
% 39.42/40.25      ( ~ class_Numeral_Onumber__ring(X0)
% 39.42/40.25      | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 39.42/40.25      inference(rewriting,[status(thm)],[c_15296]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_688,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__ring(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13446_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15292,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__ring(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_688]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_686,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13447_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15288,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_686]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_684,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oring(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13448_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15284,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oring(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_684]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_682,plain,
% 39.42/40.25      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13449_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15280,plain,
% 39.42/40.25      ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_682]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_680,plain,
% 39.42/40.25      ( class_OrderedGroup_Oab__group__add(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13450_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15276,plain,
% 39.42/40.25      ( class_OrderedGroup_Oab__group__add(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_680]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_678,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13451_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15272,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_678]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_676,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13452_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15268,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_676]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_674,plain,
% 39.42/40.25      ( class_HOL_Ominus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13453_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15264,plain,
% 39.42/40.25      ( class_HOL_Ominus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_674]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_672,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13454_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15260,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_672]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_670,plain,
% 39.42/40.25      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13455_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15256,plain,
% 39.42/40.25      ( class_Ring__and__Field_Osemiring__0(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_670]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_668,plain,
% 39.42/40.25      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13456_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15252,plain,
% 39.42/40.25      ( class_OrderedGroup_Osemigroup__add(X0)
% 39.42/40.25      | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_668]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_666,plain,
% 39.42/40.25      ( class_HOL_Oplus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13457_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15248,plain,
% 39.42/40.25      ( class_HOL_Oplus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_666]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_664,plain,
% 39.42/40.25      ( class_Orderings_Oorder(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13458_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15244,plain,
% 39.42/40.25      ( class_Orderings_Oorder(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_664]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_662,plain,
% 39.42/40.25      ( class_Orderings_Oord(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13459_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15240,plain,
% 39.42/40.25      ( class_Orderings_Oord(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_662]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15241,plain,
% 39.42/40.25      ( ~ class_LOrder_Omeet__semilorder(X0) | class_Orderings_Oord(X0) ),
% 39.42/40.25      inference(rewriting,[status(thm)],[c_15240]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_660,plain,
% 39.42/40.25      ( class_LOrder_Ojoin__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13460_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15236,plain,
% 39.42/40.25      ( class_LOrder_Ojoin__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_660]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_658,plain,
% 39.42/40.25      ( class_Orderings_Oorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13461_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15232,plain,
% 39.42/40.25      ( class_Orderings_Oorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_658]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_656,plain,
% 39.42/40.25      ( class_Orderings_Oord(X0) | ~ class_LOrder_Olorder(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13462_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15228,plain,
% 39.42/40.25      ( class_Orderings_Oord(X0) | ~ class_LOrder_Olorder(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_656]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15229,plain,
% 39.42/40.25      ( ~ class_LOrder_Olorder(X0) | class_Orderings_Oord(X0) ),
% 39.42/40.25      inference(rewriting,[status(thm)],[c_15228]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_654,plain,
% 39.42/40.25      ( class_LOrder_Omeet__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13463_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15224,plain,
% 39.42/40.25      ( class_LOrder_Omeet__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_654]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_652,plain,
% 39.42/40.25      ( class_Orderings_Oorder(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13464_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15220,plain,
% 39.42/40.25      ( class_Orderings_Oorder(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_652]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_650,plain,
% 39.42/40.25      ( class_Orderings_Oord(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13465_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15216,plain,
% 39.42/40.25      ( class_Orderings_Oord(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_650]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15217,plain,
% 39.42/40.25      ( ~ class_LOrder_Ojoin__semilorder(X0) | class_Orderings_Oord(X0) ),
% 39.42/40.25      inference(rewriting,[status(thm)],[c_15216]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_648,plain,
% 39.42/40.25      ( X0 = c_0 | c_IntDef_Oint(X0) != c_0 ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13501_1) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15212,plain,
% 39.42/40.25      ( X0 = c_0 | c_IntDef_Oint(X0) != c_0 ),
% 39.42/40.25      inference(copy,[status(esa)],[c_648]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15213,plain,
% 39.42/40.25      ( c_IntDef_Oint(X0) != c_0 | X0 = c_0 ),
% 39.42/40.25      inference(rewriting,[status(thm)],[c_15212]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_643,plain,
% 39.42/40.25      ( ~ 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))) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11055_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15202,plain,
% 39.42/40.25      ( ~ 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))) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_643]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_642,plain,
% 39.42/40.25      ( ~ 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))) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11056_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15200,plain,
% 39.42/40.25      ( ~ 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))) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_642]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_641,plain,
% 39.42/40.25      ( ~ 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))) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11057_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15198,plain,
% 39.42/40.25      ( ~ 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))) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_641]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_640,plain,
% 39.42/40.25      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11212_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15196,plain,
% 39.42/40.25      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_640]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_639,plain,
% 39.42/40.25      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11213_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15194,plain,
% 39.42/40.25      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_639]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_638,plain,
% 39.42/40.25      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OAtom(X4,X2,X3) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11214_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15192,plain,
% 39.42/40.25      ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OAtom(X4,X2,X3) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_638]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_637,plain,
% 39.42/40.25      ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11215_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15190,plain,
% 39.42/40.25      ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_637]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_636,plain,
% 39.42/40.25      ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11216_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15188,plain,
% 39.42/40.25      ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_636]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_635,plain,
% 39.42/40.25      ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11217_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15186,plain,
% 39.42/40.25      ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_635]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_634,plain,
% 39.42/40.25      ( ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11601_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15184,plain,
% 39.42/40.25      ( ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_634]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_633,plain,
% 39.42/40.25      ( ~ c_less(c_plus(X0,X1,tc_nat),X0,tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11602_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15182,plain,
% 39.42/40.25      ( ~ c_less(c_plus(X0,X1,tc_nat),X0,tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_633]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_632,plain,
% 39.42/40.25      ( ~ c_List_Onull(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11800_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15180,plain,
% 39.42/40.25      ( ~ c_List_Onull(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_632]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_631,plain,
% 39.42/40.25      ( ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11850_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15178,plain,
% 39.42/40.25      ( ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_631]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_630,plain,
% 39.42/40.25      ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInl(X3,X2,X1) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11881_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15176,plain,
% 39.42/40.25      ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInl(X3,X2,X1) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_630]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_629,plain,
% 39.42/40.25      ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInr(X3,X2,X1) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11882_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15174,plain,
% 39.42/40.25      ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInr(X3,X2,X1) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_629]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_628,plain,
% 39.42/40.25      ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11883_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15172,plain,
% 39.42/40.25      ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_628]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_627,plain,
% 39.42/40.25      ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11884_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15170,plain,
% 39.42/40.25      ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_627]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_626,plain,
% 39.42/40.25      ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11885_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15168,plain,
% 39.42/40.25      ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_626]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_625,plain,
% 39.42/40.25      ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11886_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15166,plain,
% 39.42/40.25      ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_625]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_624,plain,
% 39.42/40.25      ( ~ c_less(c_IntDef_Oint(X0),c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11989_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15164,plain,
% 39.42/40.25      ( ~ c_less(c_IntDef_Oint(X0),c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_624]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_623,plain,
% 39.42/40.25      ( ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X0)),tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12031_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15162,plain,
% 39.42/40.25      ( ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X0)),tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_623]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_622,plain,
% 39.42/40.25      ( ~ c_less(X0,c_emptyset,tc_set(X1)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12148_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15160,plain,
% 39.42/40.25      ( ~ c_less(X0,c_emptyset,tc_set(X1)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_622]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_621,plain,
% 39.42/40.25      ( ~ c_less(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12159_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15158,plain,
% 39.42/40.25      ( ~ c_less(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_621]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_619,plain,
% 39.42/40.25      ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12190_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15154,plain,
% 39.42/40.25      ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 39.42/40.25      inference(copy,[status(esa)],[c_619]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_617,plain,
% 39.42/40.25      ( c_insert(X0,X1,X2) != c_emptyset ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12198_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15150,plain,
% 39.42/40.25      ( c_insert(X0,X1,X2) != c_emptyset ),
% 39.42/40.25      inference(copy,[status(esa)],[c_617]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_615,plain,
% 39.42/40.25      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12200_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15146,plain,
% 39.42/40.25      ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil ),
% 39.42/40.25      inference(copy,[status(esa)],[c_615]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_614,plain,
% 39.42/40.25      ( ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12201_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15144,plain,
% 39.42/40.25      ( ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_614]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_613,plain,
% 39.42/40.25      ( ~ c_in(X0,c_emptyset,X1) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12209_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15142,plain,
% 39.42/40.25      ( ~ c_in(X0,c_emptyset,X1) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_613]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_612,plain,
% 39.42/40.25      ( ~ c_List_Oop_Amem(X0,c_List_Olist_ONil,X1) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12210_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15140,plain,
% 39.42/40.25      ( ~ c_List_Oop_Amem(X0,c_List_Olist_ONil,X1) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_612]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_611,plain,
% 39.42/40.25      ( ~ c_less(X0,X0,tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12211_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15138,plain,
% 39.42/40.25      ( ~ c_less(X0,X0,tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_611]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_610,plain,
% 39.42/40.25      ( ~ c_less(X0,c_0,tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12226_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15136,plain,
% 39.42/40.25      ( ~ c_less(X0,c_0,tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_610]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_609,plain,
% 39.42/40.25      ( ~ c_less(c_0,c_0,tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12231_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15134,plain,
% 39.42/40.25      ( ~ c_less(c_0,c_0,tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_609]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_608,plain,
% 39.42/40.25      ( ~ c_IntDef_Oneg(c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12477_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15132,plain,
% 39.42/40.25      ( ~ c_IntDef_Oneg(c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_608]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_606,plain,
% 39.42/40.25      ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_ONone ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12494_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15128,plain,
% 39.42/40.25      ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_ONone ),
% 39.42/40.25      inference(copy,[status(esa)],[c_606]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_605,plain,
% 39.42/40.25      ( ~ c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12516_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15126,plain,
% 39.42/40.25      ( ~ c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_605]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_603,plain,
% 39.42/40.25      ( c_Suc(X0) != c_0 ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13505_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15122,plain,
% 39.42/40.25      ( c_Suc(X0) != c_0 ),
% 39.42/40.25      inference(copy,[status(esa)],[c_603]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_602,plain,
% 39.42/40.25      ( c_UNIV != c_emptyset ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13629_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15120,plain,
% 39.42/40.25      ( c_UNIV != c_emptyset ),
% 39.42/40.25      inference(copy,[status(esa)],[c_602]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_600,plain,
% 39.42/40.25      ( c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1 ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13631_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15116,plain,
% 39.42/40.25      ( c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1 ),
% 39.42/40.25      inference(copy,[status(esa)],[c_600]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_599,plain,
% 39.42/40.25      ( c_1 != c_0 ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13632_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15114,plain,( c_1 != c_0 ),inference(copy,[status(esa)],[c_599]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_597,plain,
% 39.42/40.25      ( c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13634_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15110,plain,
% 39.42/40.25      ( c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft ),
% 39.42/40.25      inference(copy,[status(esa)],[c_597]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_564,plain,
% 39.42/40.25      ( 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))) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_10978_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15076,plain,
% 39.42/40.25      ( 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))) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_564]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_551,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X1,tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11047_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15062,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X1,tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_551]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_550,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X0,tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11048_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15060,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X0,tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_550]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_546,plain,
% 39.42/40.25      ( 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))) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11074_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15055,plain,
% 39.42/40.25      ( 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))) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_546]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_537,plain,
% 39.42/40.25      ( c_in(c_Pair(X0,X0,X1,X1),c_Transitive__Closure_Ortrancl(X2,X1),tc_prod(X1,X1)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11134_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15045,plain,
% 39.42/40.25      ( c_in(c_Pair(X0,X0,X1,X1),c_Transitive__Closure_Ortrancl(X2,X1),tc_prod(X1,X1)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_537]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_534,plain,
% 39.42/40.25      ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11145_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_15041,plain,
% 39.42/40.25      ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_534]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_429,plain,
% 39.42/40.25      ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11768_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14935,plain,
% 39.42/40.25      ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_429]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_428,plain,
% 39.42/40.25      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11777_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14933,plain,
% 39.42/40.25      ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_428]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_423,plain,
% 39.42/40.25      ( c_lessequals(c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)),c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11830_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14927,plain,
% 39.42/40.25      ( c_lessequals(c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)),c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_423]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_407,plain,
% 39.42/40.25      ( c_in(X0,c_insert(X0,X1,X2),X2) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11927_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14910,plain,
% 39.42/40.25      ( c_in(X0,c_insert(X0,X1,X2),X2) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_407]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_406,plain,
% 39.42/40.25      ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X0,X1,X2),X2) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11928_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14908,plain,
% 39.42/40.25      ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X0,X1,X2),X2) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_406]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_404,plain,
% 39.42/40.25      ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11932_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14905,plain,
% 39.42/40.25      ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_404]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_403,plain,
% 39.42/40.25      ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11933_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14903,plain,
% 39.42/40.25      ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_403]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_402,plain,
% 39.42/40.25      ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11934_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14901,plain,
% 39.42/40.25      ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_402]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_401,plain,
% 39.42/40.25      ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11935_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14899,plain,
% 39.42/40.25      ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_401]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_400,plain,
% 39.42/40.25      ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11936_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14897,plain,
% 39.42/40.25      ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_400]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_399,plain,
% 39.42/40.25      ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11937_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14895,plain,
% 39.42/40.25      ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_399]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_398,plain,
% 39.42/40.25      ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11938_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14893,plain,
% 39.42/40.25      ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_398]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_397,plain,
% 39.42/40.25      ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11939_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14891,plain,
% 39.42/40.25      ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_397]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_396,plain,
% 39.42/40.25      ( c_in(X0,c_insert(X0,c_emptyset,X1),X1) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11945_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14889,plain,
% 39.42/40.25      ( c_in(X0,c_insert(X0,c_emptyset,X1),X1) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_396]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_395,plain,
% 39.42/40.25      ( c_lessequals(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11950_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14887,plain,
% 39.42/40.25      ( c_lessequals(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_395]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_388,plain,
% 39.42/40.25      ( c_lessequals(c_div(X0,X1,tc_nat),X0,tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11957_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14879,plain,
% 39.42/40.25      ( c_lessequals(c_div(X0,X1,tc_nat),X0,tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_388]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_387,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11958_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14877,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_387]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_386,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11959_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14875,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_386]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_385,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_nat),tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11960_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14873,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_nat),tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_385]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_384,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_nat),tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11961_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14871,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_nat),tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_384]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_382,plain,
% 39.42/40.25      ( c_less(c_0,c_Nat_Opower(X0,c_0,tc_nat),tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_11979_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14868,plain,
% 39.42/40.25      ( c_less(c_0,c_Nat_Opower(X0,c_0,tc_nat),tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_382]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_370,plain,
% 39.42/40.25      ( c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12049_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14855,plain,
% 39.42/40.25      ( c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_370]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_359,plain,
% 39.42/40.25      ( c_less(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12082_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14843,plain,
% 39.42/40.25      ( c_less(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_359]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_351,plain,
% 39.42/40.25      ( c_times(X0,c_0,tc_nat) = c_times(X1,c_0,tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12115_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14834,plain,
% 39.42/40.25      ( c_times(X0,c_0,tc_nat) = c_times(X1,c_0,tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_351]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_350,plain,
% 39.42/40.25      ( c_times(c_0,X0,tc_nat) = c_times(c_0,X1,tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12116_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14832,plain,
% 39.42/40.25      ( c_times(c_0,X0,tc_nat) = c_times(c_0,X1,tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_350]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_346,plain,
% 39.42/40.25      ( c_lessequals(c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12144_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14827,plain,
% 39.42/40.25      ( c_lessequals(c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_346]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_341,plain,
% 39.42/40.25      ( c_in(c_List_Olist_ONil,c_List_Olists(X0,X1),tc_List_Olist(X1)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12206_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14821,plain,
% 39.42/40.25      ( c_in(c_List_Olist_ONil,c_List_Olists(X0,X1),tc_List_Olist(X1)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_341]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_340,plain,
% 39.42/40.25      ( c_in(c_List_Oset(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12207_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14819,plain,
% 39.42/40.25      ( c_in(c_List_Oset(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_340]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_335,plain,
% 39.42/40.25      ( c_in(c_SetInterval_OlessThan(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12229_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14813,plain,
% 39.42/40.25      ( c_in(c_SetInterval_OlessThan(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_335]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_334,plain,
% 39.42/40.25      ( c_in(c_SetInterval_OatMost(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12230_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14811,plain,
% 39.42/40.25      ( c_in(c_SetInterval_OatMost(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_334]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_331,plain,
% 39.42/40.25      ( c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12242_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14807,plain,
% 39.42/40.25      ( c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_331]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_330,plain,
% 39.42/40.25      ( c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12243_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14805,plain,
% 39.42/40.25      ( c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_330]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_322,plain,
% 39.42/40.25      ( c_lessequals(X0,X0,tc_set(X1)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12294_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14796,plain,
% 39.42/40.25      ( c_lessequals(X0,X0,tc_set(X1)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_322]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_320,plain,
% 39.42/40.25      ( c_lessequals(X0,c_UNIV,tc_set(X1)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12302_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14793,plain,
% 39.42/40.25      ( c_lessequals(X0,c_UNIV,tc_set(X1)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_320]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_315,plain,
% 39.42/40.25      ( c_lessequals(c_emptyset,X0,tc_set(X1)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12307_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14786,plain,
% 39.42/40.25      ( c_lessequals(c_emptyset,X0,tc_set(X1)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_315]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_314,plain,
% 39.42/40.25      ( c_less(X0,c_Suc(X0),tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12308_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14784,plain,
% 39.42/40.25      ( c_less(X0,c_Suc(X0),tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_314]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_313,plain,
% 39.42/40.25      ( c_lessequals(c_emptyset,c_emptyset,tc_set(X0)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12316_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14782,plain,
% 39.42/40.25      ( c_lessequals(c_emptyset,c_emptyset,tc_set(X0)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_313]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_311,plain,
% 39.42/40.25      ( c_lessequals(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12318_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14779,plain,
% 39.42/40.25      ( c_lessequals(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_311]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_310,plain,
% 39.42/40.25      ( c_less(c_0,c_Suc(X0),tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12319_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14777,plain,
% 39.42/40.25      ( c_less(c_0,c_Suc(X0),tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_310]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_309,plain,
% 39.42/40.25      ( c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12320_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14775,plain,
% 39.42/40.25      ( c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_309]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_264,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(X0,X0,tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12378_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14726,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(X0,X0,tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_264]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_260,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(X0,X0,tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12382_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14721,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(X0,X0,tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_260]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_259,plain,
% 39.42/40.25      ( c_in(X0,c_UNIV,X1) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12383_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14719,plain,
% 39.42/40.25      ( c_in(X0,c_UNIV,X1) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_259]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_231,plain,
% 39.42/40.25      ( c_lessequals(c_0,X0,tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12411_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14690,plain,
% 39.42/40.25      ( c_lessequals(c_0,X0,tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_231]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_230,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(c_1,X0,tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12412_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14688,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(c_1,X0,tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_230]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_229,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(X0,c_0,tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12413_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14686,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(X0,c_0,tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_229]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_228,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(X0,c_0,tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12414_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14684,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(X0,c_0,tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_228]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_227,plain,
% 39.42/40.25      ( c_less(c_0,c_1,tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12420_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14682,plain,
% 39.42/40.25      ( c_less(c_0,c_1,tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_227]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_226,plain,
% 39.42/40.25      ( c_lessequals(c_0,c_0,tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12421_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14680,plain,
% 39.42/40.25      ( c_lessequals(c_0,c_0,tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_226]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_224,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12423_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14677,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_224]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_223,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(c_0,c_0,tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12424_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14675,plain,
% 39.42/40.25      ( c_Divides_Oop_Advd(c_0,c_0,tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_223]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_215,plain,
% 39.42/40.25      ( c_List_Odistinct(c_List_Oremdups(X0,X1),X1) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12445_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14666,plain,
% 39.42/40.25      ( c_List_Odistinct(c_List_Oremdups(X0,X1),X1) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_215]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_209,plain,
% 39.42/40.25      ( c_List_Odistinct(c_List_Oupt(X0,X1),tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12451_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14659,plain,
% 39.42/40.25      ( c_List_Odistinct(c_List_Oupt(X0,X1),tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_209]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_205,plain,
% 39.42/40.25      ( class_Nat_Opower(tc_fun(X0,X1)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12476_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14654,plain,
% 39.42/40.25      ( class_Nat_Opower(tc_fun(X0,X1)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_205]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_167,plain,
% 39.42/40.25      ( c_List_Onull(c_List_Olist_ONil,X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12549_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14615,plain,
% 39.42/40.25      ( c_List_Onull(c_List_Olist_ONil,X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_167]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_165,plain,
% 39.42/40.25      ( c_List_Odistinct(c_List_Olist_ONil,X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12551_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14612,plain,
% 39.42/40.25      ( c_List_Odistinct(c_List_Olist_ONil,X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_165]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_158,plain,
% 39.42/40.25      ( c_Wellfounded__Recursion_Owf(c_emptyset,X0) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_12558_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14604,plain,
% 39.42/40.25      ( c_Wellfounded__Recursion_Owf(c_emptyset,X0) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_158]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_155,plain,
% 39.42/40.25      ( c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13468_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14600,plain,
% 39.42/40.25      ( c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_155]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_154,plain,
% 39.42/40.25      ( c_Parity_Oeven(c_0,tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13469_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14598,plain,
% 39.42/40.25      ( c_Parity_Oeven(c_0,tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_154]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_128,plain,
% 39.42/40.25      ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13495_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14571,plain,
% 39.42/40.25      ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_128]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_127,plain,
% 39.42/40.25      ( c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13496_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14569,plain,
% 39.42/40.25      ( c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_127]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_126,plain,
% 39.42/40.25      ( class_Nat_Opower(tc_set(X0)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13497_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14567,plain,
% 39.42/40.25      ( class_Nat_Opower(tc_set(X0)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_126]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_125,plain,
% 39.42/40.25      ( class_Orderings_Oorder(tc_set(X0)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13498_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14565,plain,
% 39.42/40.25      ( class_Orderings_Oorder(tc_set(X0)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_125]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_124,plain,
% 39.42/40.25      ( class_Orderings_Oord(tc_set(X0)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13499_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14563,plain,
% 39.42/40.25      ( class_Orderings_Oord(tc_set(X0)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_124]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_123,plain,
% 39.42/40.25      ( class_HOL_Ominus(tc_set(X0)) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13500_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14561,plain,
% 39.42/40.25      ( class_HOL_Ominus(tc_set(X0)) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_123]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_114,plain,
% 39.42/40.25      ( class_HOL_Ominus(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13514_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14551,plain,
% 39.42/40.25      ( class_HOL_Ominus(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_114]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_113,plain,
% 39.42/40.25      ( class_Wellfounded__Recursion_Owellorder(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13515_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14549,plain,
% 39.42/40.25      ( class_Wellfounded__Recursion_Owellorder(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_113]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_112,plain,
% 39.42/40.25      ( class_Orderings_Olinorder(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13516_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14547,plain,
% 39.42/40.25      ( class_Orderings_Olinorder(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_112]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_111,plain,
% 39.42/40.25      ( class_LOrder_Olorder(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13517_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14545,plain,
% 39.42/40.25      ( class_LOrder_Olorder(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_111]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_110,plain,
% 39.42/40.25      ( class_LOrder_Ojoin__semilorder(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13518_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14543,plain,
% 39.42/40.25      ( class_LOrder_Ojoin__semilorder(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_110]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_109,plain,
% 39.42/40.25      ( class_Parity_Oeven__odd(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13519_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14541,plain,
% 39.42/40.25      ( class_Parity_Oeven__odd(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_109]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_108,plain,
% 39.42/40.25      ( class_Numeral_Onumber(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13520_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14539,plain,
% 39.42/40.25      ( class_Numeral_Onumber(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_108]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_107,plain,
% 39.42/40.25      ( class_Power_Orecpower(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13521_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14537,plain,
% 39.42/40.25      ( class_Power_Orecpower(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_107]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_106,plain,
% 39.42/40.25      ( class_Divides_Odiv(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13522_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14535,plain,
% 39.42/40.25      ( class_Divides_Odiv(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_106]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_105,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13523_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14533,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_105]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_104,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13524_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14531,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_104]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_103,plain,
% 39.42/40.25      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13525_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14529,plain,
% 39.42/40.25      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_103]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_102,plain,
% 39.42/40.25      ( class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13526_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14527,plain,
% 39.42/40.25      ( class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_102]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_101,plain,
% 39.42/40.25      ( class_LOrder_Omeet__semilorder(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13527_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14525,plain,
% 39.42/40.25      ( class_LOrder_Omeet__semilorder(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_101]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_100,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13528_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14523,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_100]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_99,plain,
% 39.42/40.25      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13529_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14521,plain,
% 39.42/40.25      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_99]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_98,plain,
% 39.42/40.25      ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13530_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14519,plain,
% 39.42/40.25      ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_98]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_97,plain,
% 39.42/40.25      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13531_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14517,plain,
% 39.42/40.25      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_97]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_96,plain,
% 39.42/40.25      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13532_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14515,plain,
% 39.42/40.25      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_96]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_95,plain,
% 39.42/40.25      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13533_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14513,plain,
% 39.42/40.25      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_95]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_94,plain,
% 39.42/40.25      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13534_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14511,plain,
% 39.42/40.25      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_94]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_93,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13535_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14509,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_93]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_92,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13536_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14507,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_92]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_91,plain,
% 39.42/40.25      ( class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13537_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14505,plain,
% 39.42/40.25      ( class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_91]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_90,plain,
% 39.42/40.25      ( class_Orderings_Oorder(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13538_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14503,plain,
% 39.42/40.25      ( class_Orderings_Oorder(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_90]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_89,plain,
% 39.42/40.25      ( class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13539_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14501,plain,
% 39.42/40.25      ( class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_89]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_88,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13540_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14499,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_88]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_87,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13541_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14497,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_87]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_86,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13542_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14495,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_86]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_85,plain,
% 39.42/40.25      ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13543_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14493,plain,
% 39.42/40.25      ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_85]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_84,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13544_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14491,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_84]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_83,plain,
% 39.42/40.25      ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13545_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14489,plain,
% 39.42/40.25      ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_83]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_82,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13546_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14487,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_82]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_81,plain,
% 39.42/40.25      ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13547_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14485,plain,
% 39.42/40.25      ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_81]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_80,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13548_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14483,plain,
% 39.42/40.25      ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_80]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_79,plain,
% 39.42/40.25      ( class_Orderings_Oord(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13549_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14481,plain,
% 39.42/40.25      ( class_Orderings_Oord(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_79]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_78,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13550_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14479,plain,
% 39.42/40.25      ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_78]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_77,plain,
% 39.42/40.25      ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13551_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14477,plain,
% 39.42/40.25      ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_77]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_76,plain,
% 39.42/40.25      ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13552_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14475,plain,
% 39.42/40.25      ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_76]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_75,plain,
% 39.42/40.25      ( class_OrderedGroup_Osemigroup__mult(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13553_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14473,plain,
% 39.42/40.25      ( class_OrderedGroup_Osemigroup__mult(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_75]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_74,plain,
% 39.42/40.25      ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13554_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14471,plain,
% 39.42/40.25      ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_74]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_73,plain,
% 39.42/40.25      ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13555_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14469,plain,
% 39.42/40.25      ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_73]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_72,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13556_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14467,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_72]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_71,plain,
% 39.42/40.25      ( class_Nat_Opower(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13557_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14465,plain,
% 39.42/40.25      ( class_Nat_Opower(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_71]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_70,plain,
% 39.42/40.25      ( class_HOL_Otimes(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13558_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14463,plain,
% 39.42/40.25      ( class_HOL_Otimes(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_70]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_69,plain,
% 39.42/40.25      ( class_HOL_Oplus(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13559_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14461,plain,
% 39.42/40.25      ( class_HOL_Oplus(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_69]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_68,plain,
% 39.42/40.25      ( class_HOL_Ozero(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13560_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14459,plain,
% 39.42/40.25      ( class_HOL_Ozero(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_68]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_67,plain,
% 39.42/40.25      ( class_HOL_Oone(tc_nat) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13561_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14457,plain,
% 39.42/40.25      ( class_HOL_Oone(tc_nat) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_67]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_66,plain,
% 39.42/40.25      ( class_Finite__Set_Ofinite(tc_bool) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13562_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14455,plain,
% 39.42/40.25      ( class_Finite__Set_Ofinite(tc_bool) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_66]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_65,plain,
% 39.42/40.25      ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13563_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14453,plain,
% 39.42/40.25      ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_65]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_64,plain,
% 39.42/40.25      ( class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13564_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14451,plain,
% 39.42/40.25      ( class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_64]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_63,plain,
% 39.42/40.25      ( class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13565_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14449,plain,
% 39.42/40.25      ( class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_63]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_62,plain,
% 39.42/40.25      ( class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13566_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14447,plain,
% 39.42/40.25      ( class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_62]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_61,plain,
% 39.42/40.25      ( class_Parity_Oeven__odd(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13567_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14445,plain,
% 39.42/40.25      ( class_Parity_Oeven__odd(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_61]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_60,plain,
% 39.42/40.25      ( class_Power_Orecpower(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13568_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14443,plain,
% 39.42/40.25      ( class_Power_Orecpower(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_60]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_59,plain,
% 39.42/40.25      ( class_Nat_Opower(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13569_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14441,plain,
% 39.42/40.25      ( class_Nat_Opower(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_59]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_58,plain,
% 39.42/40.25      ( class_Divides_Odiv(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13570_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14439,plain,
% 39.42/40.25      ( class_Divides_Odiv(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_58]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_57,plain,
% 39.42/40.25      ( class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13571_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14437,plain,
% 39.42/40.25      ( class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_57]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_56,plain,
% 39.42/40.25      ( class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13572_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14435,plain,
% 39.42/40.25      ( class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_56]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_55,plain,
% 39.42/40.25      ( class_Numeral_Onumber(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13573_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14433,plain,
% 39.42/40.25      ( class_Numeral_Onumber(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_55]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_54,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13574_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14431,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_54]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_53,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13575_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14429,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_53]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_52,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13576_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14427,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_52]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_51,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13577_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14425,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_51]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_50,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13578_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14423,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_50]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_49,plain,
% 39.42/40.25      ( class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13579_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14421,plain,
% 39.42/40.25      ( class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_49]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_48,plain,
% 39.42/40.25      ( class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13580_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14419,plain,
% 39.42/40.25      ( class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_48]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_47,plain,
% 39.42/40.25      ( class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13581_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14417,plain,
% 39.42/40.25      ( class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_47]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_46,plain,
% 39.42/40.25      ( class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13582_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14415,plain,
% 39.42/40.25      ( class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_46]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_45,plain,
% 39.42/40.25      ( class_Orderings_Oord(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13583_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14413,plain,
% 39.42/40.25      ( class_Orderings_Oord(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_45]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_44,plain,
% 39.42/40.25      ( class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13584_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14411,plain,
% 39.42/40.25      ( class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_44]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_43,plain,
% 39.42/40.25      ( class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13585_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14409,plain,
% 39.42/40.25      ( class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_43]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_42,plain,
% 39.42/40.25      ( class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13586_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14407,plain,
% 39.42/40.25      ( class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_42]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_41,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13587_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14405,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_41]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_40,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13588_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14403,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_40]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_39,plain,
% 39.42/40.25      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13589_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14401,plain,
% 39.42/40.25      ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_39]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_38,plain,
% 39.42/40.25      ( class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13590_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14399,plain,
% 39.42/40.25      ( class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_38]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_37,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13591_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14397,plain,
% 39.42/40.25      ( class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_37]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_36,plain,
% 39.42/40.25      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13592_0) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_14395,plain,
% 39.42/40.25      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
% 39.42/40.25      inference(copy,[status(esa)],[c_36]) ).
% 39.42/40.25  
% 39.42/40.25  cnf(c_35,plain,
% 39.42/40.25      ( class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
% 39.42/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13593_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14393,plain,
% 39.48/40.25      ( class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_35]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_34,plain,
% 39.48/40.25      ( class_HOL_Ozero(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13594_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14391,plain,
% 39.48/40.25      ( class_HOL_Ozero(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_34]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_33,plain,
% 39.48/40.25      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13595_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14389,plain,
% 39.48/40.25      ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_33]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_32,plain,
% 39.48/40.25      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13596_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14387,plain,
% 39.48/40.25      ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_32]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_31,plain,
% 39.48/40.25      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13597_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14385,plain,
% 39.48/40.25      ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_31]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_30,plain,
% 39.48/40.25      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13598_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14383,plain,
% 39.48/40.25      ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_30]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_29,plain,
% 39.48/40.25      ( class_Orderings_Olinorder(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13599_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14381,plain,
% 39.48/40.25      ( class_Orderings_Olinorder(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_29]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_28,plain,
% 39.48/40.25      ( class_LOrder_Olorder(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13600_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14379,plain,
% 39.48/40.25      ( class_LOrder_Olorder(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_28]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_27,plain,
% 39.48/40.25      ( class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13601_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14377,plain,
% 39.48/40.25      ( class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_27]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_26,plain,
% 39.48/40.25      ( class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13602_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14375,plain,
% 39.48/40.25      ( class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_26]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_25,plain,
% 39.48/40.25      ( class_Orderings_Oorder(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13603_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14373,plain,
% 39.48/40.25      ( class_Orderings_Oorder(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_25]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_24,plain,
% 39.48/40.25      ( class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13604_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14371,plain,
% 39.48/40.25      ( class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_24]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_23,plain,
% 39.48/40.25      ( class_HOL_Otimes(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13605_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14369,plain,
% 39.48/40.25      ( class_HOL_Otimes(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_23]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_22,plain,
% 39.48/40.25      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13606_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14367,plain,
% 39.48/40.25      ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_22]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_21,plain,
% 39.48/40.25      ( class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13607_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14365,plain,
% 39.48/40.25      ( class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_21]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_20,plain,
% 39.48/40.25      ( class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13608_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14363,plain,
% 39.48/40.25      ( class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_20]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_19,plain,
% 39.48/40.25      ( class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13609_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14361,plain,
% 39.48/40.25      ( class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_19]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_18,plain,
% 39.48/40.25      ( class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13610_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14359,plain,
% 39.48/40.25      ( class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_18]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_17,plain,
% 39.48/40.25      ( class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13611_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14357,plain,
% 39.48/40.25      ( class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_17]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_16,plain,
% 39.48/40.25      ( class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13612_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14355,plain,
% 39.48/40.25      ( class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_16]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_15,plain,
% 39.48/40.25      ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13613_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14353,plain,
% 39.48/40.25      ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_15]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14,plain,
% 39.48/40.25      ( class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13614_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14351,plain,
% 39.48/40.25      ( class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_14]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_13,plain,
% 39.48/40.25      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13615_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14349,plain,
% 39.48/40.25      ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_13]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_12,plain,
% 39.48/40.25      ( class_HOL_Oplus(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13616_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14347,plain,
% 39.48/40.25      ( class_HOL_Oplus(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_12]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_11,plain,
% 39.48/40.25      ( class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13617_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14345,plain,
% 39.48/40.25      ( class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_11]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_10,plain,
% 39.48/40.25      ( class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13618_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14343,plain,
% 39.48/40.25      ( class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_10]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_9,plain,
% 39.48/40.25      ( class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13619_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14341,plain,
% 39.48/40.25      ( class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_9]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_8,plain,
% 39.48/40.25      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13620_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14339,plain,
% 39.48/40.25      ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_8]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_7,plain,
% 39.48/40.25      ( class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13621_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14337,plain,
% 39.48/40.25      ( class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_7]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_6,plain,
% 39.48/40.25      ( class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13622_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14335,plain,
% 39.48/40.25      ( class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_6]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_5,plain,
% 39.48/40.25      ( class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13623_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14333,plain,
% 39.48/40.25      ( class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_5]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_4,plain,
% 39.48/40.25      ( class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13624_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14331,plain,
% 39.48/40.25      ( class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_4]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_3,plain,
% 39.48/40.25      ( class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13625_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14329,plain,
% 39.48/40.25      ( class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_3]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_2,plain,
% 39.48/40.25      ( class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13626_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14327,plain,
% 39.48/40.25      ( class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_2]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_1,plain,
% 39.48/40.25      ( class_HOL_Oone(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13627_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14325,plain,
% 39.48/40.25      ( class_HOL_Oone(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_1]) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_0,plain,
% 39.48/40.25      ( class_HOL_Ominus(tc_IntDef_Oint) ),
% 39.48/40.25      file('/export/starexec/sandbox/tmp/iprover_modulo_95832a.p', c_0_13628_0) ).
% 39.48/40.25  
% 39.48/40.25  cnf(c_14323,plain,
% 39.48/40.25      ( class_HOL_Ominus(tc_IntDef_Oint) ),
% 39.48/40.25      inference(copy,[status(esa)],[c_0]) ).
% 39.48/40.25  
% 39.48/40.25  
% 39.48/40.25  
% 39.48/40.25  % ------                             Statistics
% 39.48/40.25  
% 39.48/40.25  % ------ General
% 39.48/40.25  
% 39.48/40.25  % num_of_input_clauses:                 5988
% 39.48/40.25  % num_of_input_neg_conjectures:         0
% 39.48/40.25  % num_of_splits:                        0
% 39.48/40.25  % num_of_split_atoms:                   0
% 39.48/40.25  % num_of_sem_filtered_clauses:          0
% 39.48/40.25  % num_of_subtypes:                      0
% 39.48/40.25  % monotx_restored_types:                0
% 39.48/40.25  % sat_num_of_epr_types:                 0
% 39.48/40.25  % sat_num_of_non_cyclic_types:          0
% 39.48/40.25  % sat_guarded_non_collapsed_types:      0
% 39.48/40.25  % is_epr:                               0
% 39.48/40.25  % is_horn:                              0
% 39.48/40.25  % has_eq:                               1
% 39.48/40.25  % num_pure_diseq_elim:                  0
% 39.48/40.25  % simp_replaced_by:                     0
% 39.48/40.25  % res_preprocessed:                     0
% 39.48/40.25  % prep_upred:                           0
% 39.48/40.25  % prep_unflattend:                      0
% 39.48/40.25  % pred_elim_cands:                      0
% 39.48/40.25  % pred_elim:                            0
% 39.48/40.25  % pred_elim_cl:                         0
% 39.48/40.25  % pred_elim_cycles:                     0
% 39.48/40.25  % forced_gc_time:                       0
% 39.48/40.25  % gc_basic_clause_elim:                 0
% 39.48/40.25  % parsing_time:                         0.129
% 39.48/40.25  % sem_filter_time:                      0.
% 39.48/40.25  % pred_elim_time:                       0.
% 39.48/40.25  % out_proof_time:                       0.
% 39.48/40.25  % monotx_time:                          0.
% 39.48/40.25  % subtype_inf_time:                     0.
% 39.48/40.25  % unif_index_cands_time:                0.
% 39.48/40.25  % unif_index_add_time:                  0.006
% 39.48/40.25  % total_time:                           17.06
% 39.48/40.25  % num_of_symbols:                       343
% 39.48/40.25  % num_of_terms:                         9684
% 39.48/40.25  
% 39.48/40.25  % ------ Propositional Solver
% 39.48/40.25  
% 39.48/40.25  % prop_solver_calls:                    1
% 39.48/40.25  % prop_fast_solver_calls:               0
% 39.48/40.25  % prop_num_of_clauses:                  6048
% 39.48/40.25  % prop_preprocess_simplified:           17546
% 39.48/40.25  % prop_fo_subsumed:                     0
% 39.48/40.25  % prop_solver_time:                     0.
% 39.48/40.25  % prop_fast_solver_time:                0.
% 39.48/40.25  % prop_unsat_core_time:                 0.
% 39.48/40.25  
% 39.48/40.25  % ------ QBF 
% 39.48/40.25  
% 39.48/40.25  % qbf_q_res:                            0
% 39.48/40.25  % qbf_num_tautologies:                  0
% 39.48/40.25  % qbf_prep_cycles:                      0
% 39.48/40.25  
% 39.48/40.25  % ------ BMC1
% 39.48/40.25  
% 39.48/40.25  % bmc1_current_bound:                   -1
% 39.48/40.25  % bmc1_last_solved_bound:               -1
% 39.48/40.25  % bmc1_unsat_core_size:                 -1
% 39.48/40.25  % bmc1_unsat_core_parents_size:         -1
% 39.48/40.25  % bmc1_merge_next_fun:                  0
% 39.48/40.25  % bmc1_unsat_core_clauses_time:         0.
% 39.48/40.25  
% 39.48/40.25  % ------ Instantiation
% 39.48/40.25  
% 39.48/40.25  % inst_num_of_clauses:                  5862
% 39.48/40.25  % inst_num_in_passive:                  0
% 39.48/40.25  % inst_num_in_active:                   0
% 39.48/40.25  % inst_num_in_unprocessed:              5988
% 39.48/40.25  % inst_num_of_loops:                    0
% 39.48/40.25  % inst_num_of_learning_restarts:        0
% 39.48/40.25  % inst_num_moves_active_passive:        0
% 39.48/40.25  % inst_lit_activity:                    0
% 39.48/40.25  % inst_lit_activity_moves:              0
% 39.48/40.25  % inst_num_tautologies:                 0
% 39.48/40.25  % inst_num_prop_implied:                0
% 39.48/40.25  % inst_num_existing_simplified:         0
% 39.48/40.25  % inst_num_eq_res_simplified:           0
% 39.48/40.25  % inst_num_child_elim:                  0
% 39.48/40.25  % inst_num_of_dismatching_blockings:    0
% 39.48/40.25  % inst_num_of_non_proper_insts:         0
% 39.48/40.25  % inst_num_of_duplicates:               0
% 39.48/40.25  % inst_inst_num_from_inst_to_res:       0
% 39.48/40.25  % inst_dismatching_checking_time:       0.
% 39.48/40.25  
% 39.48/40.25  % ------ Resolution
% 39.48/40.25  
% 39.48/40.25  % res_num_of_clauses:                   6242
% 39.48/40.25  % res_num_in_passive:                   0
% 39.48/40.25  % res_num_in_active:                    2351
% 39.48/40.25  % res_num_of_loops:                     1
% 39.48/40.25  % res_forward_subset_subsumed:          3230
% 39.48/40.25  % res_backward_subset_subsumed:         0
% 39.48/40.25  % res_forward_subsumed:                 0
% 39.48/40.25  % res_backward_subsumed:                0
% 39.48/40.25  % res_forward_subsumption_resolution:   0
% 39.48/40.25  % res_backward_subsumption_resolution:  0
% 39.48/40.25  % res_clause_to_clause_subsumption:     0
% 39.48/40.25  % res_orphan_elimination:               0
% 39.48/40.25  % res_tautology_del:                    0
% 39.48/40.25  % res_num_eq_res_simplified:            0
% 39.48/40.25  % res_num_sel_changes:                  0
% 39.48/40.25  % res_moves_from_active_to_pass:        0
% 39.48/40.25  
% 39.48/40.25  % Status Unknown
% 39.48/40.25  % Last status :
% 39.48/40.25  % SZS status Unknown
%------------------------------------------------------------------------------