TSTP Solution File: ALG416-1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : ALG416-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 14 17:12:26 EDT 2022

% Result   : Unknown 150.45s 150.96s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : ALG416-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12  % Command  : iprover_modulo %s %d
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun  8 21:02:05 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Running in mono-core mode
% 0.19/0.47  % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.47  % Orientation found
% 0.19/0.47  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_842839.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_45e970.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_e0b500 | grep -v "SZS"
% 0.19/0.50  
% 0.19/0.50  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.50  
% 0.19/0.50  % 
% 0.19/0.50  % ------  iProver source info 
% 0.19/0.50  
% 0.19/0.50  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.50  % git: non_committed_changes: true
% 0.19/0.50  % git: last_make_outside_of_git: true
% 0.19/0.50  
% 0.19/0.50  % 
% 0.19/0.50  % ------ Input Options
% 0.19/0.50  
% 0.19/0.50  % --out_options                         all
% 0.19/0.50  % --tptp_safe_out                       true
% 0.19/0.50  % --problem_path                        ""
% 0.19/0.50  % --include_path                        ""
% 0.19/0.50  % --clausifier                          .//eprover
% 0.19/0.50  % --clausifier_options                  --tstp-format  
% 0.19/0.50  % --stdin                               false
% 0.19/0.50  % --dbg_backtrace                       false
% 0.19/0.50  % --dbg_dump_prop_clauses               false
% 0.19/0.50  % --dbg_dump_prop_clauses_file          -
% 0.19/0.50  % --dbg_out_stat                        false
% 0.19/0.50  
% 0.19/0.50  % ------ General Options
% 0.19/0.50  
% 0.19/0.50  % --fof                                 false
% 0.19/0.50  % --time_out_real                       150.
% 0.19/0.50  % --time_out_prep_mult                  0.2
% 0.19/0.50  % --time_out_virtual                    -1.
% 0.19/0.50  % --schedule                            none
% 0.19/0.50  % --ground_splitting                    input
% 0.19/0.50  % --splitting_nvd                       16
% 0.19/0.50  % --non_eq_to_eq                        false
% 0.19/0.50  % --prep_gs_sim                         true
% 0.19/0.50  % --prep_unflatten                      false
% 0.19/0.50  % --prep_res_sim                        true
% 0.19/0.50  % --prep_upred                          true
% 0.19/0.50  % --res_sim_input                       true
% 0.19/0.50  % --clause_weak_htbl                    true
% 0.19/0.50  % --gc_record_bc_elim                   false
% 0.19/0.50  % --symbol_type_check                   false
% 0.19/0.50  % --clausify_out                        false
% 0.19/0.50  % --large_theory_mode                   false
% 0.19/0.50  % --prep_sem_filter                     none
% 0.19/0.50  % --prep_sem_filter_out                 false
% 0.19/0.50  % --preprocessed_out                    false
% 0.19/0.50  % --sub_typing                          false
% 0.19/0.50  % --brand_transform                     false
% 0.19/0.50  % --pure_diseq_elim                     true
% 0.19/0.50  % --min_unsat_core                      false
% 0.19/0.50  % --pred_elim                           true
% 0.19/0.50  % --add_important_lit                   false
% 0.19/0.50  % --soft_assumptions                    false
% 0.19/0.50  % --reset_solvers                       false
% 0.19/0.50  % --bc_imp_inh                          []
% 0.19/0.50  % --conj_cone_tolerance                 1.5
% 0.19/0.50  % --prolific_symb_bound                 500
% 0.19/0.50  % --lt_threshold                        2000
% 0.19/0.50  
% 0.19/0.50  % ------ SAT Options
% 0.19/0.50  
% 0.19/0.50  % --sat_mode                            false
% 0.19/0.50  % --sat_fm_restart_options              ""
% 0.19/0.50  % --sat_gr_def                          false
% 0.19/0.50  % --sat_epr_types                       true
% 0.19/0.50  % --sat_non_cyclic_types                false
% 0.19/0.50  % --sat_finite_models                   false
% 0.19/0.50  % --sat_fm_lemmas                       false
% 0.19/0.50  % --sat_fm_prep                         false
% 0.19/0.50  % --sat_fm_uc_incr                      true
% 0.19/0.50  % --sat_out_model                       small
% 0.19/0.50  % --sat_out_clauses                     false
% 0.19/0.50  
% 0.19/0.50  % ------ QBF Options
% 0.19/0.50  
% 0.19/0.50  % --qbf_mode                            false
% 0.19/0.50  % --qbf_elim_univ                       true
% 0.19/0.50  % --qbf_sk_in                           true
% 0.19/0.50  % --qbf_pred_elim                       true
% 0.19/0.50  % --qbf_split                           32
% 0.19/0.50  
% 0.19/0.50  % ------ BMC1 Options
% 0.19/0.50  
% 0.19/0.50  % --bmc1_incremental                    false
% 0.19/0.50  % --bmc1_axioms                         reachable_all
% 0.19/0.50  % --bmc1_min_bound                      0
% 0.19/0.50  % --bmc1_max_bound                      -1
% 0.19/0.50  % --bmc1_max_bound_default              -1
% 0.19/0.50  % --bmc1_symbol_reachability            true
% 0.19/0.50  % --bmc1_property_lemmas                false
% 0.19/0.50  % --bmc1_k_induction                    false
% 0.19/0.50  % --bmc1_non_equiv_states               false
% 0.19/0.50  % --bmc1_deadlock                       false
% 0.19/0.50  % --bmc1_ucm                            false
% 0.19/0.50  % --bmc1_add_unsat_core                 none
% 0.19/0.50  % --bmc1_unsat_core_children            false
% 0.19/0.50  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.19/0.50  % --bmc1_out_stat                       full
% 0.19/0.50  % --bmc1_ground_init                    false
% 0.19/0.50  % --bmc1_pre_inst_next_state            false
% 0.19/0.50  % --bmc1_pre_inst_state                 false
% 0.19/0.50  % --bmc1_pre_inst_reach_state           false
% 0.19/0.50  % --bmc1_out_unsat_core                 false
% 0.19/0.50  % --bmc1_aig_witness_out                false
% 0.19/0.50  % --bmc1_verbose                        false
% 0.19/0.50  % --bmc1_dump_clauses_tptp              false
% 0.37/0.60  % --bmc1_dump_unsat_core_tptp           false
% 0.37/0.60  % --bmc1_dump_file                      -
% 0.37/0.60  % --bmc1_ucm_expand_uc_limit            128
% 0.37/0.60  % --bmc1_ucm_n_expand_iterations        6
% 0.37/0.60  % --bmc1_ucm_extend_mode                1
% 0.37/0.60  % --bmc1_ucm_init_mode                  2
% 0.37/0.60  % --bmc1_ucm_cone_mode                  none
% 0.37/0.60  % --bmc1_ucm_reduced_relation_type      0
% 0.37/0.60  % --bmc1_ucm_relax_model                4
% 0.37/0.60  % --bmc1_ucm_full_tr_after_sat          true
% 0.37/0.60  % --bmc1_ucm_expand_neg_assumptions     false
% 0.37/0.60  % --bmc1_ucm_layered_model              none
% 0.37/0.60  % --bmc1_ucm_max_lemma_size             10
% 0.37/0.60  
% 0.37/0.60  % ------ AIG Options
% 0.37/0.60  
% 0.37/0.60  % --aig_mode                            false
% 0.37/0.60  
% 0.37/0.60  % ------ Instantiation Options
% 0.37/0.60  
% 0.37/0.60  % --instantiation_flag                  true
% 0.37/0.60  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.37/0.60  % --inst_solver_per_active              750
% 0.37/0.60  % --inst_solver_calls_frac              0.5
% 0.37/0.60  % --inst_passive_queue_type             priority_queues
% 0.37/0.60  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.37/0.60  % --inst_passive_queues_freq            [25;2]
% 0.37/0.60  % --inst_dismatching                    true
% 0.37/0.60  % --inst_eager_unprocessed_to_passive   true
% 0.37/0.60  % --inst_prop_sim_given                 true
% 0.37/0.60  % --inst_prop_sim_new                   false
% 0.37/0.60  % --inst_orphan_elimination             true
% 0.37/0.60  % --inst_learning_loop_flag             true
% 0.37/0.60  % --inst_learning_start                 3000
% 0.37/0.60  % --inst_learning_factor                2
% 0.37/0.60  % --inst_start_prop_sim_after_learn     3
% 0.37/0.60  % --inst_sel_renew                      solver
% 0.37/0.60  % --inst_lit_activity_flag              true
% 0.37/0.60  % --inst_out_proof                      true
% 0.37/0.60  
% 0.37/0.60  % ------ Resolution Options
% 0.37/0.60  
% 0.37/0.60  % --resolution_flag                     true
% 0.37/0.60  % --res_lit_sel                         kbo_max
% 0.37/0.60  % --res_to_prop_solver                  none
% 0.37/0.60  % --res_prop_simpl_new                  false
% 0.37/0.60  % --res_prop_simpl_given                false
% 0.37/0.60  % --res_passive_queue_type              priority_queues
% 0.37/0.60  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.37/0.60  % --res_passive_queues_freq             [15;5]
% 0.37/0.60  % --res_forward_subs                    full
% 0.37/0.60  % --res_backward_subs                   full
% 0.37/0.60  % --res_forward_subs_resolution         true
% 0.37/0.60  % --res_backward_subs_resolution        true
% 0.37/0.60  % --res_orphan_elimination              false
% 0.37/0.60  % --res_time_limit                      1000.
% 0.37/0.60  % --res_out_proof                       true
% 0.37/0.60  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_842839.s
% 0.37/0.60  % --modulo                              true
% 0.37/0.60  
% 0.37/0.60  % ------ Combination Options
% 0.37/0.60  
% 0.37/0.60  % --comb_res_mult                       1000
% 0.37/0.60  % --comb_inst_mult                      300
% 0.37/0.60  % ------ 
% 0.37/0.60  
% 0.37/0.60  % ------ Parsing...% successful
% 0.37/0.60  
% 0.37/0.60  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.37/0.60  
% 0.37/0.60  % ------ Proving...
% 0.37/0.60  % ------ Problem Properties 
% 0.37/0.60  
% 0.37/0.60  % 
% 0.37/0.60  % EPR                                   false
% 0.37/0.60  % Horn                                  false
% 0.37/0.60  % Has equality                          true
% 0.37/0.60  
% 0.37/0.60  % % ------ Input Options Time Limit: Unbounded
% 0.37/0.60  
% 0.37/0.60  
% 0.37/0.60  % warning: Clause {v_thesis____;~(equality_sorted($i,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_pa____))} has no selected literals
% 0.37/0.60  cnf(c_1412,negated_conjecture,
% 0.37/0.60      ( v_thesis____
% 0.37/0.60      | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____ ),
% 0.44/0.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_8) ).
% 0.44/0.71  
% 0.44/0.71  % warning: Clause {v_thesis____;~(equality_sorted($i,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_pa____))} has no selected literals
% 0.44/0.71  cnf(c_1412,negated_conjecture,
% 0.44/0.71      ( v_thesis____
% 0.44/0.71      | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____ ),
% 0.44/0.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_8) ).
% 0.44/0.71  
% 0.44/0.71  Compiling...
% 0.44/0.71  Loading plugin: done.
% 0.44/0.71  % warning: Clause {v_thesis____;~(equality_sorted($i,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_pa____))} has no selected literals
% 0.44/0.71  cnf(c_1412,negated_conjecture,
% 0.44/0.71      ( v_thesis____
% 0.44/0.71      | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____ ),
% 0.44/0.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_8) ).
% 0.44/0.71  
% 0.44/0.71  % warning: Clause {v_thesis____;~(equality_sorted($i,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_pa____))} has no selected literals
% 0.44/0.71  cnf(c_1412,negated_conjecture,
% 0.44/0.71      ( v_thesis____
% 0.44/0.71      | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____ ),
% 0.44/0.71      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_8) ).
% 0.44/0.71  
% 0.44/0.71  % % ------ Current options:
% 0.44/0.71  
% 0.44/0.71  % ------ Input Options
% 0.44/0.71  
% 0.44/0.71  % --out_options                         all
% 0.44/0.71  % --tptp_safe_out                       true
% 0.44/0.71  % --problem_path                        ""
% 0.44/0.71  % --include_path                        ""
% 0.44/0.71  % --clausifier                          .//eprover
% 0.44/0.71  % --clausifier_options                  --tstp-format  
% 0.44/0.71  % --stdin                               false
% 0.44/0.71  % --dbg_backtrace                       false
% 0.44/0.71  % --dbg_dump_prop_clauses               false
% 0.44/0.71  % --dbg_dump_prop_clauses_file          -
% 0.44/0.71  % --dbg_out_stat                        false
% 0.44/0.71  
% 0.44/0.71  % ------ General Options
% 0.44/0.71  
% 0.44/0.71  % --fof                                 false
% 0.44/0.71  % --time_out_real                       150.
% 0.44/0.71  % --time_out_prep_mult                  0.2
% 0.44/0.71  % --time_out_virtual                    -1.
% 0.44/0.71  % --schedule                            none
% 0.44/0.71  % --ground_splitting                    input
% 0.44/0.71  % --splitting_nvd                       16
% 0.44/0.71  % --non_eq_to_eq                        false
% 0.44/0.71  % --prep_gs_sim                         true
% 0.44/0.71  % --prep_unflatten                      false
% 0.44/0.71  % --prep_res_sim                        true
% 0.44/0.71  % --prep_upred                          true
% 0.44/0.71  % --res_sim_input                       true
% 0.44/0.71  % --clause_weak_htbl                    true
% 0.44/0.71  % --gc_record_bc_elim                   false
% 0.44/0.71  % --symbol_type_check                   false
% 0.44/0.71  % --clausify_out                        false
% 0.44/0.71  % --large_theory_mode                   false
% 0.44/0.71  % --prep_sem_filter                     none
% 0.44/0.71  % --prep_sem_filter_out                 false
% 0.44/0.71  % --preprocessed_out                    false
% 0.44/0.71  % --sub_typing                          false
% 0.44/0.71  % --brand_transform                     false
% 0.44/0.71  % --pure_diseq_elim                     true
% 0.44/0.71  % --min_unsat_core                      false
% 0.44/0.71  % --pred_elim                           true
% 0.44/0.71  % --add_important_lit                   false
% 0.44/0.71  % --soft_assumptions                    false
% 0.44/0.71  % --reset_solvers                       false
% 0.44/0.71  % --bc_imp_inh                          []
% 0.44/0.71  % --conj_cone_tolerance                 1.5
% 0.44/0.71  % --prolific_symb_bound                 500
% 0.44/0.71  % --lt_threshold                        2000
% 0.44/0.71  
% 0.44/0.71  % ------ SAT Options
% 0.44/0.71  
% 0.44/0.71  % --sat_mode                            false
% 0.44/0.71  % --sat_fm_restart_options              ""
% 0.44/0.71  % --sat_gr_def                          false
% 0.44/0.71  % --sat_epr_types                       true
% 0.44/0.71  % --sat_non_cyclic_types                false
% 0.44/0.71  % --sat_finite_models                   false
% 0.44/0.71  % --sat_fm_lemmas                       false
% 0.44/0.71  % --sat_fm_prep                         false
% 0.44/0.71  % --sat_fm_uc_incr                      true
% 0.44/0.71  % --sat_out_model                       small
% 0.44/0.71  % --sat_out_clauses                     false
% 0.44/0.71  
% 0.44/0.71  % ------ QBF Options
% 0.44/0.71  
% 0.44/0.71  % --qbf_mode                            false
% 0.44/0.71  % --qbf_elim_univ                       true
% 0.44/0.71  % --qbf_sk_in                           true
% 0.44/0.71  % --qbf_pred_elim                       true
% 0.44/0.71  % --qbf_split                           32
% 0.44/0.71  
% 0.44/0.71  % ------ BMC1 Options
% 0.44/0.71  
% 0.44/0.71  % --bmc1_incremental                    false
% 0.44/0.71  % --bmc1_axioms                         reachable_all
% 0.44/0.71  % --bmc1_min_bound                      0
% 0.44/0.71  % --bmc1_max_bound                      -1
% 0.44/0.71  % --bmc1_max_bound_default              -1
% 0.44/0.71  % --bmc1_symbol_reachability            true
% 0.44/0.71  % --bmc1_property_lemmas                false
% 0.44/0.71  % --bmc1_k_induction                    false
% 0.44/0.71  % --bmc1_non_equiv_states               false
% 0.44/0.71  % --bmc1_deadlock                       false
% 0.44/0.71  % --bmc1_ucm                            false
% 0.44/0.71  % --bmc1_add_unsat_core                 none
% 0.44/0.71  % --bmc1_unsat_core_children            false
% 0.44/0.71  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.44/0.71  % --bmc1_out_stat                       full
% 0.44/0.71  % --bmc1_ground_init                    false
% 0.44/0.71  % --bmc1_pre_inst_next_state            false
% 0.44/0.71  % --bmc1_pre_inst_state                 false
% 0.44/0.71  % --bmc1_pre_inst_reach_state           false
% 0.44/0.71  % --bmc1_out_unsat_core                 false
% 0.44/0.71  % --bmc1_aig_witness_out                false
% 0.44/0.71  % --bmc1_verbose                        false
% 0.44/0.71  % --bmc1_dump_clauses_tptp              false
% 0.44/0.71  % --bmc1_dump_unsat_core_tptp           false
% 0.44/0.71  % --bmc1_dump_file                      -
% 0.44/0.71  % --bmc1_ucm_expand_uc_limit            128
% 0.44/0.71  % --bmc1_ucm_n_expand_iterations        6
% 0.44/0.71  % --bmc1_ucm_extend_mode                1
% 0.44/0.71  % --bmc1_ucm_init_mode                  2
% 0.44/0.71  % --bmc1_ucm_cone_mode                  none
% 0.44/0.71  % --bmc1_ucm_reduced_relation_type      0
% 0.44/0.71  % --bmc1_ucm_relax_model                4
% 0.44/0.71  % --bmc1_ucm_full_tr_after_sat          true
% 0.44/0.71  % --bmc1_ucm_expand_neg_assumptions     false
% 0.44/0.71  % --bmc1_ucm_layered_model              none
% 0.44/0.71  % --bmc1_ucm_max_lemma_size             10
% 0.44/0.71  
% 0.44/0.71  % ------ AIG Options
% 0.44/0.71  
% 0.44/0.71  % --aig_mode                            false
% 0.44/0.71  
% 0.44/0.71  % ------ Instantiation Options
% 0.44/0.71  
% 0.44/0.71  % --instantiation_flag                  true
% 44.14/44.34  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 44.14/44.34  % --inst_solver_per_active              750
% 44.14/44.34  % --inst_solver_calls_frac              0.5
% 44.14/44.34  % --inst_passive_queue_type             priority_queues
% 44.14/44.34  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 44.14/44.34  % --inst_passive_queues_freq            [25;2]
% 44.14/44.34  % --inst_dismatching                    true
% 44.14/44.34  % --inst_eager_unprocessed_to_passive   true
% 44.14/44.34  % --inst_prop_sim_given                 true
% 44.14/44.34  % --inst_prop_sim_new                   false
% 44.14/44.34  % --inst_orphan_elimination             true
% 44.14/44.34  % --inst_learning_loop_flag             true
% 44.14/44.34  % --inst_learning_start                 3000
% 44.14/44.34  % --inst_learning_factor                2
% 44.14/44.34  % --inst_start_prop_sim_after_learn     3
% 44.14/44.34  % --inst_sel_renew                      solver
% 44.14/44.34  % --inst_lit_activity_flag              true
% 44.14/44.34  % --inst_out_proof                      true
% 44.14/44.34  
% 44.14/44.34  % ------ Resolution Options
% 44.14/44.34  
% 44.14/44.34  % --resolution_flag                     true
% 44.14/44.34  % --res_lit_sel                         kbo_max
% 44.14/44.34  % --res_to_prop_solver                  none
% 44.14/44.34  % --res_prop_simpl_new                  false
% 44.14/44.34  % --res_prop_simpl_given                false
% 44.14/44.34  % --res_passive_queue_type              priority_queues
% 44.14/44.34  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 44.14/44.34  % --res_passive_queues_freq             [15;5]
% 44.14/44.34  % --res_forward_subs                    full
% 44.14/44.34  % --res_backward_subs                   full
% 44.14/44.34  % --res_forward_subs_resolution         true
% 44.14/44.34  % --res_backward_subs_resolution        true
% 44.14/44.34  % --res_orphan_elimination              false
% 44.14/44.34  % --res_time_limit                      1000.
% 44.14/44.34  % --res_out_proof                       true
% 44.14/44.34  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_842839.s
% 44.14/44.34  % --modulo                              true
% 44.14/44.34  
% 44.14/44.34  % ------ Combination Options
% 44.14/44.34  
% 44.14/44.34  % --comb_res_mult                       1000
% 44.14/44.34  % --comb_inst_mult                      300
% 44.14/44.34  % ------ 
% 44.14/44.34  
% 44.14/44.34  
% 44.14/44.34  
% 44.14/44.34  % ------ Proving...
% 44.14/44.34  % warning: Clause {v_thesis____;~(equality_sorted($i,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_pa____))} has no selected literals
% 44.14/44.34  cnf(c_1412,negated_conjecture,
% 44.14/44.34      ( v_thesis____
% 44.14/44.34      | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____ ),
% 44.14/44.34      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_8) ).
% 44.14/44.34  
% 44.14/44.34  % warning: Clause {v_thesis____;~(equality_sorted($i,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_pa____))} has no selected literals
% 44.14/44.34  cnf(c_1412,negated_conjecture,
% 44.14/44.34      ( v_thesis____
% 44.14/44.34      | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____ ),
% 150.22/150.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_8) ).
% 150.22/150.50  
% 150.22/150.50  % warning: Clause {v_thesis____;~(equality_sorted($i,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_pa____))} has no selected literals
% 150.22/150.50  cnf(c_1412,negated_conjecture,
% 150.22/150.50      ( v_thesis____
% 150.22/150.50      | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____ ),
% 150.22/150.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_8) ).
% 150.22/150.50  
% 150.22/150.50  % warning: Clause {v_thesis____;~(equality_sorted($i,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_pa____))} has no selected literals
% 150.22/150.50  cnf(c_1412,negated_conjecture,
% 150.22/150.50      ( v_thesis____
% 150.22/150.50      | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____ ),
% 150.22/150.50      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_8) ).
% 150.22/150.50  
% 150.22/150.50  % 
% 150.22/150.50  
% 150.22/150.50  
% 150.22/150.50  % Time Out Real
% 150.22/150.50  
% 150.22/150.50  % ------                             Statistics
% 150.22/150.50  
% 150.22/150.50  % ------ General
% 150.22/150.50  
% 150.22/150.50  % num_of_input_clauses:                 1414
% 150.22/150.50  % num_of_input_neg_conjectures:         2
% 150.22/150.50  % num_of_splits:                        0
% 150.22/150.50  % num_of_split_atoms:                   0
% 150.22/150.50  % num_of_sem_filtered_clauses:          0
% 150.22/150.50  % num_of_subtypes:                      0
% 150.22/150.50  % monotx_restored_types:                0
% 150.22/150.50  % sat_num_of_epr_types:                 0
% 150.22/150.50  % sat_num_of_non_cyclic_types:          0
% 150.22/150.50  % sat_guarded_non_collapsed_types:      0
% 150.22/150.50  % is_epr:                               0
% 150.22/150.50  % is_horn:                              0
% 150.22/150.50  % has_eq:                               1
% 150.22/150.50  % num_pure_diseq_elim:                  0
% 150.22/150.50  % simp_replaced_by:                     3
% 150.22/150.50  % res_preprocessed:                     2
% 150.22/150.50  % prep_upred:                           0
% 150.22/150.50  % prep_unflattend:                      0
% 150.22/150.50  % pred_elim_cands:                      0
% 150.22/150.50  % pred_elim:                            0
% 150.22/150.50  % pred_elim_cl:                         0
% 150.22/150.50  % pred_elim_cycles:                     0
% 150.22/150.50  % forced_gc_time:                       0
% 150.22/150.50  % gc_basic_clause_elim:                 0
% 150.22/150.50  % parsing_time:                         0.068
% 150.22/150.50  % sem_filter_time:                      0.
% 150.22/150.50  % pred_elim_time:                       0.
% 150.22/150.50  % out_proof_time:                       0.
% 150.22/150.50  % monotx_time:                          0.
% 150.22/150.50  % subtype_inf_time:                     0.
% 150.22/150.50  % unif_index_cands_time:                0.112
% 150.22/150.50  % unif_index_add_time:                  0.205
% 150.22/150.50  % total_time:                           150.016
% 150.22/150.50  % num_of_symbols:                       96
% 150.22/150.50  % num_of_terms:                         1812521
% 150.22/150.50  
% 150.22/150.50  % ------ Propositional Solver
% 150.22/150.50  
% 150.22/150.50  % prop_solver_calls:                    31
% 150.30/150.51  % prop_fast_solver_calls:               3
% 150.30/150.51  % prop_num_of_clauses:                  96837
% 150.30/150.51  % prop_preprocess_simplified:           107510
% 150.30/150.51  % prop_fo_subsumed:                     0
% 150.30/150.51  % prop_solver_time:                     0.034
% 150.30/150.51  % prop_fast_solver_time:                0.
% 150.30/150.51  % prop_unsat_core_time:                 0.
% 150.30/150.51  
% 150.30/150.51  % ------ QBF 
% 150.30/150.51  
% 150.30/150.51  % qbf_q_res:                            0
% 150.30/150.51  % qbf_num_tautologies:                  0
% 150.30/150.51  % qbf_prep_cycles:                      0
% 150.30/150.51  
% 150.30/150.51  % ------ BMC1
% 150.30/150.51  
% 150.30/150.51  % bmc1_current_bound:                   -1
% 150.30/150.51  % bmc1_last_solved_bound:               -1
% 150.30/150.51  % bmc1_unsat_core_size:                 -1
% 150.30/150.51  % bmc1_unsat_core_parents_size:         -1
% 150.30/150.51  % bmc1_merge_next_fun:                  0
% 150.30/150.51  % bmc1_unsat_core_clauses_time:         0.
% 150.30/150.51  
% 150.30/150.51  % ------ Instantiation
% 150.30/150.51  
% 150.30/150.51  % inst_num_of_clauses:                  1365
% 150.30/150.51  % inst_num_in_passive:                  990
% 150.30/150.51  % inst_num_in_active:                   297
% 150.30/150.51  % inst_num_in_unprocessed:              78
% 150.30/150.51  % inst_num_of_loops:                    298
% 150.30/150.51  % inst_num_of_learning_restarts:        2
% 150.30/150.51  % inst_num_moves_active_passive:        0
% 150.30/150.51  % inst_lit_activity:                    37
% 150.30/150.51  % inst_lit_activity_moves:              0
% 150.30/150.51  % inst_num_tautologies:                 0
% 150.30/150.51  % inst_num_prop_implied:                0
% 150.30/150.51  % inst_num_existing_simplified:         0
% 150.30/150.51  % inst_num_eq_res_simplified:           0
% 150.30/150.51  % inst_num_child_elim:                  0
% 150.30/150.51  % inst_num_of_dismatching_blockings:    4
% 150.30/150.51  % inst_num_of_non_proper_insts:         87
% 150.30/150.51  % inst_num_of_duplicates:               146
% 150.30/150.51  % inst_inst_num_from_inst_to_res:       0
% 150.30/150.51  % inst_dismatching_checking_time:       12.831
% 150.30/150.51  
% 150.30/150.51  % ------ Resolution
% 150.30/150.51  
% 150.30/150.51  % res_num_of_clauses:                   437090
% 150.30/150.51  % res_num_in_passive:                   406668
% 150.30/150.51  % res_num_in_active:                    29420
% 150.30/150.51  % res_num_of_loops:                     31229
% 150.30/150.51  % res_forward_subset_subsumed:          918
% 150.30/150.51  % res_backward_subset_subsumed:         4
% 150.30/150.51  % res_forward_subsumed:                 2299
% 150.30/150.51  % res_backward_subsumed:                0
% 150.30/150.51  % res_forward_subsumption_resolution:   0
% 150.30/150.51  % res_backward_subsumption_resolution:  1
% 150.30/150.51  % res_clause_to_clause_subsumption:     160053
% 150.30/150.51  % res_orphan_elimination:               0
% 150.30/150.51  % res_tautology_del:                    0
% 150.30/150.51  % res_num_eq_res_simplified:            0
% 150.30/150.51  % res_num_sel_changes:                  0
% 150.30/150.51  % res_moves_from_active_to_pass:        0
% 150.30/150.51  
% 150.30/150.51  % Status Unknown
% 150.35/150.61  % Orienting using strategy ClausalAll
% 150.35/150.61  % Orientation found
% 150.35/150.61  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_842839.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_45e970.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_f236ab | grep -v "SZS"
% 150.35/150.63  
% 150.35/150.63  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.35/150.63  
% 150.35/150.63  % 
% 150.35/150.63  % ------  iProver source info 
% 150.35/150.63  
% 150.35/150.63  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.35/150.63  % git: non_committed_changes: true
% 150.35/150.63  % git: last_make_outside_of_git: true
% 150.35/150.63  
% 150.35/150.63  % 
% 150.35/150.63  % ------ Input Options
% 150.35/150.63  
% 150.35/150.63  % --out_options                         all
% 150.35/150.63  % --tptp_safe_out                       true
% 150.35/150.63  % --problem_path                        ""
% 150.35/150.63  % --include_path                        ""
% 150.35/150.63  % --clausifier                          .//eprover
% 150.35/150.63  % --clausifier_options                  --tstp-format  
% 150.35/150.63  % --stdin                               false
% 150.35/150.63  % --dbg_backtrace                       false
% 150.35/150.63  % --dbg_dump_prop_clauses               false
% 150.35/150.63  % --dbg_dump_prop_clauses_file          -
% 150.35/150.63  % --dbg_out_stat                        false
% 150.35/150.63  
% 150.35/150.63  % ------ General Options
% 150.35/150.63  
% 150.35/150.63  % --fof                                 false
% 150.35/150.63  % --time_out_real                       150.
% 150.35/150.63  % --time_out_prep_mult                  0.2
% 150.35/150.63  % --time_out_virtual                    -1.
% 150.35/150.63  % --schedule                            none
% 150.35/150.63  % --ground_splitting                    input
% 150.35/150.63  % --splitting_nvd                       16
% 150.35/150.63  % --non_eq_to_eq                        false
% 150.35/150.63  % --prep_gs_sim                         true
% 150.35/150.63  % --prep_unflatten                      false
% 150.35/150.63  % --prep_res_sim                        true
% 150.35/150.63  % --prep_upred                          true
% 150.35/150.63  % --res_sim_input                       true
% 150.35/150.63  % --clause_weak_htbl                    true
% 150.35/150.63  % --gc_record_bc_elim                   false
% 150.35/150.63  % --symbol_type_check                   false
% 150.35/150.63  % --clausify_out                        false
% 150.35/150.63  % --large_theory_mode                   false
% 150.35/150.63  % --prep_sem_filter                     none
% 150.35/150.63  % --prep_sem_filter_out                 false
% 150.35/150.63  % --preprocessed_out                    false
% 150.35/150.63  % --sub_typing                          false
% 150.35/150.63  % --brand_transform                     false
% 150.35/150.63  % --pure_diseq_elim                     true
% 150.35/150.63  % --min_unsat_core                      false
% 150.35/150.63  % --pred_elim                           true
% 150.35/150.63  % --add_important_lit                   false
% 150.35/150.63  % --soft_assumptions                    false
% 150.35/150.63  % --reset_solvers                       false
% 150.35/150.63  % --bc_imp_inh                          []
% 150.35/150.63  % --conj_cone_tolerance                 1.5
% 150.35/150.63  % --prolific_symb_bound                 500
% 150.35/150.63  % --lt_threshold                        2000
% 150.35/150.63  
% 150.35/150.63  % ------ SAT Options
% 150.35/150.63  
% 150.35/150.63  % --sat_mode                            false
% 150.35/150.63  % --sat_fm_restart_options              ""
% 150.35/150.63  % --sat_gr_def                          false
% 150.35/150.63  % --sat_epr_types                       true
% 150.35/150.63  % --sat_non_cyclic_types                false
% 150.35/150.63  % --sat_finite_models                   false
% 150.35/150.63  % --sat_fm_lemmas                       false
% 150.35/150.63  % --sat_fm_prep                         false
% 150.35/150.63  % --sat_fm_uc_incr                      true
% 150.35/150.63  % --sat_out_model                       small
% 150.35/150.63  % --sat_out_clauses                     false
% 150.35/150.63  
% 150.35/150.63  % ------ QBF Options
% 150.35/150.63  
% 150.35/150.63  % --qbf_mode                            false
% 150.35/150.63  % --qbf_elim_univ                       true
% 150.35/150.63  % --qbf_sk_in                           true
% 150.35/150.63  % --qbf_pred_elim                       true
% 150.35/150.63  % --qbf_split                           32
% 150.35/150.63  
% 150.35/150.63  % ------ BMC1 Options
% 150.35/150.63  
% 150.35/150.63  % --bmc1_incremental                    false
% 150.35/150.63  % --bmc1_axioms                         reachable_all
% 150.35/150.63  % --bmc1_min_bound                      0
% 150.35/150.63  % --bmc1_max_bound                      -1
% 150.35/150.63  % --bmc1_max_bound_default              -1
% 150.35/150.63  % --bmc1_symbol_reachability            true
% 150.35/150.63  % --bmc1_property_lemmas                false
% 150.35/150.63  % --bmc1_k_induction                    false
% 150.35/150.63  % --bmc1_non_equiv_states               false
% 150.35/150.63  % --bmc1_deadlock                       false
% 150.35/150.63  % --bmc1_ucm                            false
% 150.35/150.63  % --bmc1_add_unsat_core                 none
% 150.35/150.63  % --bmc1_unsat_core_children            false
% 150.35/150.63  % --bmc1_unsat_core_extrapolate_axioms  false
% 150.35/150.63  % --bmc1_out_stat                       full
% 150.35/150.63  % --bmc1_ground_init                    false
% 150.35/150.63  % --bmc1_pre_inst_next_state            false
% 150.35/150.63  % --bmc1_pre_inst_state                 false
% 150.35/150.63  % --bmc1_pre_inst_reach_state           false
% 150.35/150.63  % --bmc1_out_unsat_core                 false
% 150.35/150.63  % --bmc1_aig_witness_out                false
% 150.35/150.63  % --bmc1_verbose                        false
% 150.35/150.63  % --bmc1_dump_clauses_tptp              false
% 150.45/150.76  % --bmc1_dump_unsat_core_tptp           false
% 150.45/150.76  % --bmc1_dump_file                      -
% 150.45/150.76  % --bmc1_ucm_expand_uc_limit            128
% 150.45/150.76  % --bmc1_ucm_n_expand_iterations        6
% 150.45/150.76  % --bmc1_ucm_extend_mode                1
% 150.45/150.76  % --bmc1_ucm_init_mode                  2
% 150.45/150.76  % --bmc1_ucm_cone_mode                  none
% 150.45/150.76  % --bmc1_ucm_reduced_relation_type      0
% 150.45/150.76  % --bmc1_ucm_relax_model                4
% 150.45/150.76  % --bmc1_ucm_full_tr_after_sat          true
% 150.45/150.76  % --bmc1_ucm_expand_neg_assumptions     false
% 150.45/150.76  % --bmc1_ucm_layered_model              none
% 150.45/150.76  % --bmc1_ucm_max_lemma_size             10
% 150.45/150.76  
% 150.45/150.76  % ------ AIG Options
% 150.45/150.76  
% 150.45/150.76  % --aig_mode                            false
% 150.45/150.76  
% 150.45/150.76  % ------ Instantiation Options
% 150.45/150.76  
% 150.45/150.76  % --instantiation_flag                  true
% 150.45/150.76  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 150.45/150.76  % --inst_solver_per_active              750
% 150.45/150.76  % --inst_solver_calls_frac              0.5
% 150.45/150.76  % --inst_passive_queue_type             priority_queues
% 150.45/150.76  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.45/150.76  % --inst_passive_queues_freq            [25;2]
% 150.45/150.76  % --inst_dismatching                    true
% 150.45/150.76  % --inst_eager_unprocessed_to_passive   true
% 150.45/150.76  % --inst_prop_sim_given                 true
% 150.45/150.76  % --inst_prop_sim_new                   false
% 150.45/150.76  % --inst_orphan_elimination             true
% 150.45/150.76  % --inst_learning_loop_flag             true
% 150.45/150.76  % --inst_learning_start                 3000
% 150.45/150.76  % --inst_learning_factor                2
% 150.45/150.76  % --inst_start_prop_sim_after_learn     3
% 150.45/150.76  % --inst_sel_renew                      solver
% 150.45/150.76  % --inst_lit_activity_flag              true
% 150.45/150.76  % --inst_out_proof                      true
% 150.45/150.76  
% 150.45/150.76  % ------ Resolution Options
% 150.45/150.76  
% 150.45/150.76  % --resolution_flag                     true
% 150.45/150.76  % --res_lit_sel                         kbo_max
% 150.45/150.76  % --res_to_prop_solver                  none
% 150.45/150.76  % --res_prop_simpl_new                  false
% 150.45/150.76  % --res_prop_simpl_given                false
% 150.45/150.76  % --res_passive_queue_type              priority_queues
% 150.45/150.76  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.45/150.76  % --res_passive_queues_freq             [15;5]
% 150.45/150.76  % --res_forward_subs                    full
% 150.45/150.76  % --res_backward_subs                   full
% 150.45/150.76  % --res_forward_subs_resolution         true
% 150.45/150.76  % --res_backward_subs_resolution        true
% 150.45/150.76  % --res_orphan_elimination              false
% 150.45/150.76  % --res_time_limit                      1000.
% 150.45/150.76  % --res_out_proof                       true
% 150.45/150.76  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_842839.s
% 150.45/150.76  % --modulo                              true
% 150.45/150.76  
% 150.45/150.76  % ------ Combination Options
% 150.45/150.76  
% 150.45/150.76  % --comb_res_mult                       1000
% 150.45/150.76  % --comb_inst_mult                      300
% 150.45/150.76  % ------ 
% 150.45/150.76  
% 150.45/150.76  % ------ Parsing...% successful
% 150.45/150.76  
% 150.45/150.76  % ------ 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 % 
% 150.45/150.76  
% 150.45/150.76  % ------ Proving...
% 150.45/150.76  % ------ Problem Properties 
% 150.45/150.76  
% 150.45/150.76  % 
% 150.45/150.76  % EPR                                   false
% 150.45/150.76  % Horn                                  false
% 150.45/150.76  % Has equality                          true
% 150.45/150.76  
% 150.45/150.76  % % ------ Input Options Time Limit: Unbounded
% 150.45/150.76  
% 150.45/150.76  
% 150.45/150.76  % warning: Clause {v_thesis____;~(equality_sorted($i,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_pa____))} has no selected literals
% 150.45/150.76  cnf(c_1412,negated_conjecture,
% 150.45/150.76      ( v_thesis____
% 150.45/150.76      | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____ ),
% 150.45/150.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_8) ).
% 150.45/150.90  
% 150.45/150.90  % warning: Clause {v_thesis____;~(equality_sorted($i,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_pa____))} has no selected literals
% 150.45/150.90  cnf(c_1412,negated_conjecture,
% 150.45/150.90      ( v_thesis____
% 150.45/150.90      | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____ ),
% 150.45/150.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_8) ).
% 150.45/150.90  
% 150.45/150.90  Compiling...
% 150.45/150.90  Loading plugin: done.
% 150.45/150.90  % warning: Clause {v_thesis____;~(equality_sorted($i,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_pa____))} has no selected literals
% 150.45/150.90  cnf(c_1412,negated_conjecture,
% 150.45/150.90      ( v_thesis____
% 150.45/150.90      | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____ ),
% 150.45/150.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_8) ).
% 150.45/150.90  
% 150.45/150.90  % warning: Clause {v_thesis____;~(equality_sorted($i,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_pa____))} has no selected literals
% 150.45/150.90  cnf(c_1412,negated_conjecture,
% 150.45/150.90      ( v_thesis____
% 150.45/150.90      | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____ ),
% 150.45/150.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_8) ).
% 150.45/150.90  
% 150.45/150.90  % % ------ Current options:
% 150.45/150.90  
% 150.45/150.90  % ------ Input Options
% 150.45/150.90  
% 150.45/150.90  % --out_options                         all
% 150.45/150.90  % --tptp_safe_out                       true
% 150.45/150.90  % --problem_path                        ""
% 150.45/150.90  % --include_path                        ""
% 150.45/150.90  % --clausifier                          .//eprover
% 150.45/150.90  % --clausifier_options                  --tstp-format  
% 150.45/150.90  % --stdin                               false
% 150.45/150.90  % --dbg_backtrace                       false
% 150.45/150.90  % --dbg_dump_prop_clauses               false
% 150.45/150.90  % --dbg_dump_prop_clauses_file          -
% 150.45/150.90  % --dbg_out_stat                        false
% 150.45/150.90  
% 150.45/150.90  % ------ General Options
% 150.45/150.90  
% 150.45/150.90  % --fof                                 false
% 150.45/150.90  % --time_out_real                       150.
% 150.45/150.90  % --time_out_prep_mult                  0.2
% 150.45/150.90  % --time_out_virtual                    -1.
% 150.45/150.90  % --schedule                            none
% 150.45/150.90  % --ground_splitting                    input
% 150.45/150.90  % --splitting_nvd                       16
% 150.45/150.90  % --non_eq_to_eq                        false
% 150.45/150.90  % --prep_gs_sim                         true
% 150.45/150.90  % --prep_unflatten                      false
% 150.45/150.90  % --prep_res_sim                        true
% 150.45/150.90  % --prep_upred                          true
% 150.45/150.90  % --res_sim_input                       true
% 150.45/150.90  % --clause_weak_htbl                    true
% 150.45/150.90  % --gc_record_bc_elim                   false
% 150.45/150.90  % --symbol_type_check                   false
% 150.45/150.90  % --clausify_out                        false
% 150.45/150.90  % --large_theory_mode                   false
% 150.45/150.90  % --prep_sem_filter                     none
% 150.45/150.90  % --prep_sem_filter_out                 false
% 150.45/150.90  % --preprocessed_out                    false
% 150.45/150.90  % --sub_typing                          false
% 150.45/150.90  % --brand_transform                     false
% 150.45/150.90  % --pure_diseq_elim                     true
% 150.45/150.90  % --min_unsat_core                      false
% 150.45/150.90  % --pred_elim                           true
% 150.45/150.90  % --add_important_lit                   false
% 150.45/150.90  % --soft_assumptions                    false
% 150.45/150.90  % --reset_solvers                       false
% 150.45/150.90  % --bc_imp_inh                          []
% 150.45/150.90  % --conj_cone_tolerance                 1.5
% 150.45/150.90  % --prolific_symb_bound                 500
% 150.45/150.90  % --lt_threshold                        2000
% 150.45/150.90  
% 150.45/150.90  % ------ SAT Options
% 150.45/150.90  
% 150.45/150.90  % --sat_mode                            false
% 150.45/150.90  % --sat_fm_restart_options              ""
% 150.45/150.90  % --sat_gr_def                          false
% 150.45/150.90  % --sat_epr_types                       true
% 150.45/150.90  % --sat_non_cyclic_types                false
% 150.45/150.90  % --sat_finite_models                   false
% 150.45/150.90  % --sat_fm_lemmas                       false
% 150.45/150.90  % --sat_fm_prep                         false
% 150.45/150.90  % --sat_fm_uc_incr                      true
% 150.45/150.90  % --sat_out_model                       small
% 150.45/150.90  % --sat_out_clauses                     false
% 150.45/150.90  
% 150.45/150.90  % ------ QBF Options
% 150.45/150.90  
% 150.45/150.90  % --qbf_mode                            false
% 150.45/150.90  % --qbf_elim_univ                       true
% 150.45/150.90  % --qbf_sk_in                           true
% 150.45/150.90  % --qbf_pred_elim                       true
% 150.45/150.90  % --qbf_split                           32
% 150.45/150.90  
% 150.45/150.90  % ------ BMC1 Options
% 150.45/150.90  
% 150.45/150.90  % --bmc1_incremental                    false
% 150.45/150.90  % --bmc1_axioms                         reachable_all
% 150.45/150.90  % --bmc1_min_bound                      0
% 150.45/150.90  % --bmc1_max_bound                      -1
% 150.45/150.90  % --bmc1_max_bound_default              -1
% 150.45/150.90  % --bmc1_symbol_reachability            true
% 150.45/150.90  % --bmc1_property_lemmas                false
% 150.45/150.90  % --bmc1_k_induction                    false
% 150.45/150.90  % --bmc1_non_equiv_states               false
% 150.45/150.90  % --bmc1_deadlock                       false
% 150.45/150.90  % --bmc1_ucm                            false
% 150.45/150.90  % --bmc1_add_unsat_core                 none
% 150.45/150.90  % --bmc1_unsat_core_children            false
% 150.45/150.90  % --bmc1_unsat_core_extrapolate_axioms  false
% 150.45/150.90  % --bmc1_out_stat                       full
% 150.45/150.90  % --bmc1_ground_init                    false
% 150.45/150.90  % --bmc1_pre_inst_next_state            false
% 150.45/150.90  % --bmc1_pre_inst_state                 false
% 150.45/150.90  % --bmc1_pre_inst_reach_state           false
% 150.45/150.90  % --bmc1_out_unsat_core                 false
% 150.45/150.90  % --bmc1_aig_witness_out                false
% 150.45/150.90  % --bmc1_verbose                        false
% 150.45/150.90  % --bmc1_dump_clauses_tptp              false
% 150.45/150.90  % --bmc1_dump_unsat_core_tptp           false
% 150.45/150.90  % --bmc1_dump_file                      -
% 150.45/150.90  % --bmc1_ucm_expand_uc_limit            128
% 150.45/150.90  % --bmc1_ucm_n_expand_iterations        6
% 150.45/150.90  % --bmc1_ucm_extend_mode                1
% 150.45/150.90  % --bmc1_ucm_init_mode                  2
% 150.45/150.90  % --bmc1_ucm_cone_mode                  none
% 150.45/150.90  % --bmc1_ucm_reduced_relation_type      0
% 150.45/150.90  % --bmc1_ucm_relax_model                4
% 150.45/150.90  % --bmc1_ucm_full_tr_after_sat          true
% 150.45/150.90  % --bmc1_ucm_expand_neg_assumptions     false
% 150.45/150.90  % --bmc1_ucm_layered_model              none
% 150.45/150.90  % --bmc1_ucm_max_lemma_size             10
% 150.45/150.90  
% 150.45/150.90  % ------ AIG Options
% 150.45/150.90  
% 150.45/150.90  % --aig_mode                            false
% 150.45/150.90  
% 150.45/150.90  % ------ Instantiation Options
% 150.45/150.90  
% 150.45/150.90  % --instantiation_flag                  true
% 150.45/150.90  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 150.45/150.90  % --inst_solver_per_active              750
% 150.45/150.90  % --inst_solver_calls_frac              0.5
% 150.45/150.90  % --inst_passive_queue_type             priority_queues
% 150.45/150.90  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.45/150.90  % --inst_passive_queues_freq            [25;2]
% 150.45/150.90  % --inst_dismatching                    true
% 150.45/150.90  % --inst_eager_unprocessed_to_passive   true
% 150.45/150.90  % --inst_prop_sim_given                 true
% 150.45/150.90  % --inst_prop_sim_new                   false
% 150.45/150.90  % --inst_orphan_elimination             true
% 150.45/150.90  % --inst_learning_loop_flag             true
% 150.45/150.90  % --inst_learning_start                 3000
% 150.45/150.90  % --inst_learning_factor                2
% 150.45/150.90  % --inst_start_prop_sim_after_learn     3
% 150.45/150.90  % --inst_sel_renew                      solver
% 150.45/150.90  % --inst_lit_activity_flag              true
% 150.45/150.90  % --inst_out_proof                      true
% 150.45/150.90  
% 150.45/150.90  % ------ Resolution Options
% 150.45/150.90  
% 150.45/150.90  % --resolution_flag                     true
% 150.45/150.90  % --res_lit_sel                         kbo_max
% 150.45/150.90  % --res_to_prop_solver                  none
% 150.45/150.90  % --res_prop_simpl_new                  false
% 150.45/150.90  % --res_prop_simpl_given                false
% 150.45/150.90  % --res_passive_queue_type              priority_queues
% 150.45/150.90  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.45/150.90  % --res_passive_queues_freq             [15;5]
% 150.45/150.90  % --res_forward_subs                    full
% 150.45/150.90  % --res_backward_subs                   full
% 150.45/150.90  % --res_forward_subs_resolution         true
% 150.45/150.90  % --res_backward_subs_resolution        true
% 150.45/150.90  % --res_orphan_elimination              false
% 150.45/150.90  % --res_time_limit                      1000.
% 150.45/150.90  % --res_out_proof                       true
% 150.45/150.90  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_842839.s
% 150.45/150.90  % --modulo                              true
% 150.45/150.90  
% 150.45/150.90  % ------ Combination Options
% 150.45/150.90  
% 150.45/150.90  % --comb_res_mult                       1000
% 150.45/150.90  % --comb_inst_mult                      300
% 150.45/150.90  % ------ 
% 150.45/150.90  
% 150.45/150.90  
% 150.45/150.90  
% 150.45/150.90  % ------ Proving...
% 150.45/150.90  % warning:  shown sat in sat incomplete mode 
% 150.45/150.90  % 
% 150.45/150.90  
% 150.45/150.90  
% 150.45/150.90  
% 150.45/150.90  
% 150.45/150.90  cnf(c_1413,negated_conjecture,
% 150.45/150.90      ( ~ v_thesis____ ),
% 150.45/150.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_9) ).
% 150.45/150.90  
% 150.45/150.90  cnf(c_1748,negated_conjecture,
% 150.45/150.90      ( ~ v_thesis____ ),
% 150.45/150.90      inference(copy,[status(esa)],[c_1413]) ).
% 150.45/150.90  
% 150.45/150.90  cnf(c_1752,negated_conjecture,
% 150.45/150.90      ( ~ v_thesis____ ),
% 150.45/150.90      inference(copy,[status(esa)],[c_1748]) ).
% 150.45/150.90  
% 150.45/150.90  cnf(c_1753,negated_conjecture,
% 150.45/150.90      ( ~ v_thesis____ ),
% 150.45/150.90      inference(copy,[status(esa)],[c_1752]) ).
% 150.45/150.90  
% 150.45/150.90  cnf(c_1754,negated_conjecture,
% 150.45/150.90      ( ~ v_thesis____ ),
% 150.45/150.90      inference(copy,[status(esa)],[c_1753]) ).
% 150.45/150.90  
% 150.45/150.90  cnf(c_5997,negated_conjecture,
% 150.45/150.90      ( ~ v_thesis____ ),
% 150.45/150.90      inference(copy,[status(esa)],[c_1754]) ).
% 150.45/150.90  
% 150.45/150.90  cnf(c_1407,plain,
% 150.45/150.90      ( v_thesis____
% 150.45/150.90      | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____ ),
% 150.45/150.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_1990_1) ).
% 150.45/150.90  
% 150.45/150.90  cnf(c_5983,plain,
% 150.45/150.90      ( v_thesis____
% 150.45/150.90      | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____ ),
% 150.45/150.90      inference(copy,[status(esa)],[c_1407]) ).
% 150.45/150.90  
% 150.45/150.90  cnf(c_6001,plain,
% 150.45/150.90      ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____ ),
% 150.45/150.90      inference(backward_subsumption_resolution,[status(thm)],[c_5997,c_5983]) ).
% 150.45/150.90  
% 150.45/150.90  cnf(c_6002,plain,
% 150.45/150.90      ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____ ),
% 150.45/150.90      inference(rewriting,[status(thm)],[c_6001]) ).
% 150.45/150.90  
% 150.45/150.90  cnf(c_1388,plain,
% 150.45/150.90      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_1999_3) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5945,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1388]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5946,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5945]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1382,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | ~ c_lessequals(X1,X3,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 150.45/150.91      | ~ c_lessequals(X4,X2,X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2002_1) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5933,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | ~ c_lessequals(X1,X3,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 150.45/150.91      | ~ c_lessequals(X4,X2,X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1382]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5934,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 150.45/150.91      | ~ c_lessequals(X1,X4,X0)
% 150.45/150.91      | ~ c_lessequals(X3,X2,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5933]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1378,plain,
% 150.45/150.91      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 150.45/150.91      | ~ c_lessequals(X0,X3,X2)
% 150.45/150.91      | ~ c_lessequals(X1,X4,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2002_5) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5925,plain,
% 150.45/150.91      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 150.45/150.91      | ~ c_lessequals(X0,X3,X2)
% 150.45/150.91      | ~ c_lessequals(X1,X4,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1378]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5926,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X1,X4,X0),X0)
% 150.45/150.91      | ~ c_lessequals(X3,X1,X0)
% 150.45/150.91      | ~ c_lessequals(X2,X4,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5925]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1376,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | ~ c_lessequals(X1,X3,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 150.45/150.91      | ~ c_lessequals(X2,X4,X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2003_1) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5921,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | ~ c_lessequals(X1,X3,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 150.45/150.91      | ~ c_lessequals(X2,X4,X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1376]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5922,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 150.45/150.91      | ~ c_lessequals(X1,X4,X0)
% 150.45/150.91      | ~ c_lessequals(X2,X3,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5921]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1372,plain,
% 150.45/150.91      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 150.45/150.91      | ~ c_lessequals(X0,X3,X2)
% 150.45/150.91      | ~ c_lessequals(X1,X4,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2003_5) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5913,plain,
% 150.45/150.91      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 150.45/150.91      | ~ c_lessequals(X0,X3,X2)
% 150.45/150.91      | ~ c_lessequals(X1,X4,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1372]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5914,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 150.45/150.91      | ~ c_lessequals(X1,X3,X0)
% 150.45/150.91      | ~ c_lessequals(X2,X4,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5913]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1366,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 150.45/150.91      | ~ c_lessequals(X1,X4,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2004_5) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5901,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 150.45/150.91      | ~ c_lessequals(X1,X4,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1366]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5902,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(X2,X3,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5901]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1360,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 150.45/150.91      | ~ c_lessequals(X0,X3,X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2005_5) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5889,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 150.45/150.91      | ~ c_lessequals(X0,X3,X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1360]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5890,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(X2,X3,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5889]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1358,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2006_1) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5885,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1358]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5886,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5885]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1354,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2006_5) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5877,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1354]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5878,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5877]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1352,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X4,X2,X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2007_1) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5873,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X4,X2,X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1352]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5874,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5873]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1327,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2013_3) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5823,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1327]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5824,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5823]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1307,plain,
% 150.45/150.91      ( c_lessequals(X0,X1,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2018_3) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5783,plain,
% 150.45/150.91      ( c_lessequals(X0,X1,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1307]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5784,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 150.45/150.91      | c_lessequals(X1,X3,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5783]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1303,plain,
% 150.45/150.91      ( c_lessequals(X0,X1,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2019_3) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5775,plain,
% 150.45/150.91      ( c_lessequals(X0,X1,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1303]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5776,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.91      | c_lessequals(X2,X3,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5775]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1287,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2023_3) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5743,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1287]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5744,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5743]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1283,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2024_3) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5735,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1283]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5736,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5735]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1275,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2026_3) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5719,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1275]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5720,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5719]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1267,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2028_3) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5703,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1267]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5704,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5703]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1222,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2041_3) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5613,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1222]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5614,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5613]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1206,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2045_3) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5581,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1206]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5582,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5581]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1182,plain,
% 150.45/150.91      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 150.45/150.91      | ~ c_lessequals(X3,X1,X2)
% 150.45/150.91      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2051_3) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5533,plain,
% 150.45/150.91      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 150.45/150.91      | ~ c_lessequals(X3,X1,X2)
% 150.45/150.91      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1182]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5534,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 150.45/150.91      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.91      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | ~ c_lessequals(X3,X2,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5533]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1178,plain,
% 150.45/150.91      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.91      | ~ c_lessequals(X3,X0,X2)
% 150.45/150.91      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2052_3) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5525,plain,
% 150.45/150.91      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.91      | ~ c_lessequals(X3,X0,X2)
% 150.45/150.91      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1178]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5526,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 150.45/150.91      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 150.45/150.91      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | ~ c_lessequals(X3,X1,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5525]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1174,plain,
% 150.45/150.91      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_lessequals(X1,X3,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2053_3) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5517,plain,
% 150.45/150.91      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_lessequals(X1,X3,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1174]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5518,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.91      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.91      | ~ c_lessequals(X2,X3,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5517]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1170,plain,
% 150.45/150.91      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.91      | ~ c_lessequals(X3,X1,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2054_3) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5509,plain,
% 150.45/150.91      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.91      | ~ c_lessequals(X3,X1,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1170]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5510,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.91      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.91      | ~ c_lessequals(X3,X2,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5509]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1168,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.91      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2055_1) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5505,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.91      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1168]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5506,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 150.45/150.91      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5505]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1165,plain,
% 150.45/150.91      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2055_4) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5499,plain,
% 150.45/150.91      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1165]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5500,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5499]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1163,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.91      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2056_1) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5495,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.91      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1163]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5496,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 150.45/150.91      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5495]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1160,plain,
% 150.45/150.91      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.91      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2056_4) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5489,plain,
% 150.45/150.91      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.91      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1160]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5490,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5489]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1158,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oidom(X0)
% 150.45/150.91      | c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X0),X0) != c_Polynomial_Ocoeff(X2,c_Polynomial_Odegree(X2,X0),X0)
% 150.45/150.91      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Polynomial_Opoly(X0))
% 150.45/150.91      | X1 = X2
% 150.45/150.91      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0)) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2057_1) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5485,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oidom(X0)
% 150.45/150.91      | c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X0),X0) != c_Polynomial_Ocoeff(X2,c_Polynomial_Odegree(X2,X0),X0)
% 150.45/150.91      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Polynomial_Opoly(X0))
% 150.45/150.91      | X1 = X2
% 150.45/150.91      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0)) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1158]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5486,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oidom(X0)
% 150.45/150.91      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0))
% 150.45/150.91      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Polynomial_Opoly(X0))
% 150.45/150.91      | c_Polynomial_Ocoeff(X2,c_Polynomial_Odegree(X2,X0),X0) != c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X0),X0)
% 150.45/150.91      | X2 = X1 ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5485]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1155,plain,
% 150.45/150.91      ( X0 = X1
% 150.45/150.91      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(X2))
% 150.45/150.91      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_Polynomial_Opoly(X2))
% 150.45/150.91      | c_Polynomial_Ocoeff(X0,c_Polynomial_Odegree(X0,X2),X2) != c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X2),X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oidom(X2) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2057_4) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5479,plain,
% 150.45/150.91      ( X0 = X1
% 150.45/150.91      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,tc_Polynomial_Opoly(X2))
% 150.45/150.91      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,tc_Polynomial_Opoly(X2))
% 150.45/150.91      | c_Polynomial_Ocoeff(X0,c_Polynomial_Odegree(X0,X2),X2) != c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X2),X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oidom(X2) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1155]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5480,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oidom(X0)
% 150.45/150.91      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,tc_Polynomial_Opoly(X0))
% 150.45/150.91      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,tc_Polynomial_Opoly(X0))
% 150.45/150.91      | c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X0),X0) != c_Polynomial_Ocoeff(X2,c_Polynomial_Odegree(X2,X0),X0)
% 150.45/150.91      | X1 = X2 ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5479]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1151,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.91      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 150.45/150.91      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0)
% 150.45/150.91      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2059_1) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5471,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.91      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 150.45/150.91      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0)
% 150.45/150.91      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1151]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5472,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.91      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 150.45/150.91      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0)
% 150.45/150.91      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5471]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1141,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2063_1) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5451,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1141]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5452,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5451]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1139,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2063_3) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5447,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1139]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5448,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5447]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1137,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2064_1) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5443,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1137]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5444,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5443]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1135,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2064_3) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5439,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1135]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5440,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5439]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1131,plain,
% 150.45/150.91      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2065_3) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5431,plain,
% 150.45/150.91      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1131]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5432,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5431]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1130,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2066_0) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5429,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1130]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5430,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5429]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1119,plain,
% 150.45/150.91      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2068_3) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5407,plain,
% 150.45/150.91      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1119]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5408,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5407]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1101,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.91      | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 150.45/150.91      | X1 = X3
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2073_1) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5371,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.91      | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 150.45/150.91      | X1 = X3
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1101]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5372,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | c_Power_Opower__class_Opower(X2,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X0)
% 150.45/150.91      | X2 = X1 ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5371]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1098,plain,
% 150.45/150.91      ( X0 = X1
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.91      | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2073_4) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5365,plain,
% 150.45/150.91      ( X0 = X1
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.91      | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1098]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5366,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | c_Power_Opower__class_Opower(X1,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X2,c_Suc(X3),X0)
% 150.45/150.91      | X1 = X2 ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5365]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1094,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,c_Suc(X1),X2),c_HOL_Oone__class_Oone(X2),X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2074_3) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5357,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,c_Suc(X1),X2),c_HOL_Oone__class_Oone(X2),X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1094]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5358,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),c_HOL_Oone__class_Oone(X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5357]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1090,plain,
% 150.45/150.91      ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.91      | c_lessequals(c_Power_Opower__class_Opower(X1,X0,X2),c_Power_Opower__class_Opower(X3,X0,X2),X2)
% 150.45/150.91      | ~ c_lessequals(X1,X3,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2075_3) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5349,plain,
% 150.45/150.91      ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.91      | c_lessequals(c_Power_Opower__class_Opower(X1,X0,X2),c_Power_Opower__class_Opower(X3,X0,X2),X2)
% 150.45/150.91      | ~ c_lessequals(X1,X3,X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1090]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5350,plain,
% 150.45/150.91      ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 150.45/150.91      | c_lessequals(c_Power_Opower__class_Opower(X2,X0,X1),c_Power_Opower__class_Opower(X3,X0,X1),X1)
% 150.45/150.91      | ~ c_lessequals(X2,X3,X1) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5349]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1088,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2076_1) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5345,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1088]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5346,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5345]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1084,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2077_1) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5337,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1084]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5338,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5337]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1080,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2078_1) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5329,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1080]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5330,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5329]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1070,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2080_3) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5309,plain,
% 150.45/150.91      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1070]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5310,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5309]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1064,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2082_1) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5297,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1064]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5298,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5297]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1056,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 150.45/150.91      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.91      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2084_1) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5281,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 150.45/150.91      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.91      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1056]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5282,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.91      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5281]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1052,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2085_1) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5273,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1052]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5274,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5273]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1048,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.91      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.91      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2086_1) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5265,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.91      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.91      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1048]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5266,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.91      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.91      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5265]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1044,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2087_1) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5257,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 150.45/150.91      inference(copy,[status(esa)],[c_1044]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5258,plain,
% 150.45/150.91      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 150.45/150.91      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 150.45/150.91      inference(rewriting,[status(thm)],[c_5257]) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_1026,plain,
% 150.45/150.91      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.91      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2091_3) ).
% 150.45/150.91  
% 150.45/150.91  cnf(c_5221,plain,
% 150.45/150.91      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.91      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.91      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.91      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_1026]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_5222,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.92      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_5221]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_1018,plain,
% 150.45/150.92      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.92      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.92      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2093_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_5205,plain,
% 150.45/150.92      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.92      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.92      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_1018]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_5206,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.92      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_5205]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_1001,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.92      | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2098_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_5171,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.92      | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_1001]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_5172,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0),X0)
% 150.45/150.92      | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_5171]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_996,plain,
% 150.45/150.92      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.92      | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X0,X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2099_4) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_5161,plain,
% 150.45/150.92      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.92      | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X0,X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_996]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_5162,plain,
% 150.45/150.92      ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X0,X1),X1)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 150.45/150.92      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_5161]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_984,plain,
% 150.45/150.92      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2102_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_5137,plain,
% 150.45/150.92      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_984]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_5138,plain,
% 150.45/150.92      ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X0,X1),X1)
% 150.45/150.92      | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_5137]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_980,plain,
% 150.45/150.92      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 150.45/150.92      | ~ c_lessequals(c_Power_Opower__class_Opower(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2103_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_5129,plain,
% 150.45/150.92      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 150.45/150.92      | ~ c_lessequals(c_Power_Opower__class_Opower(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_980]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_5130,plain,
% 150.45/150.92      ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 150.45/150.92      | ~ c_lessequals(c_Power_Opower__class_Opower(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_5129]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_953,plain,
% 150.45/150.92      ( c_lessequals(X0,X1,X2)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2114_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_5075,plain,
% 150.45/150.92      ( c_lessequals(X0,X1,X2)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_953]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_5076,plain,
% 150.45/150.92      ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 150.45/150.92      | c_lessequals(X2,X0,X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_5075]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_949,plain,
% 150.45/150.92      ( c_lessequals(X0,X1,X2)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2115_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_5067,plain,
% 150.45/150.92      ( c_lessequals(X0,X1,X2)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_949]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_5068,plain,
% 150.45/150.92      ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 150.45/150.92      | c_lessequals(X2,X0,X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_5067]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_945,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2116_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_5059,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_945]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_5060,plain,
% 150.45/150.92      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | c_HOL_Oord__class_Oless(X2,X0,X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_5059]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_941,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2117_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_5051,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X2),c_HOL_Oinverse__class_Oinverse(X0,X2),X2)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_941]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_5052,plain,
% 150.45/150.92      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0)
% 150.45/150.92      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_5051]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_931,plain,
% 150.45/150.92      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.92      | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2120_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_5031,plain,
% 150.45/150.92      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.92      | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_931]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_5032,plain,
% 150.45/150.92      ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1),X1)
% 150.45/150.92      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_5031]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_923,plain,
% 150.45/150.92      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.92      | ~ c_lessequals(c_Power_Opower__class_Opower(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2123_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_5015,plain,
% 150.45/150.92      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.92      | ~ c_lessequals(c_Power_Opower__class_Opower(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_923]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_5016,plain,
% 150.45/150.92      ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 150.45/150.92      | ~ c_lessequals(c_Power_Opower__class_Opower(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | X2 = c_HOL_Ozero__class_Ozero(X1) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_5015]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_911,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2126_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4991,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_911]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4992,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4991]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_907,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2127_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4983,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_907]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4984,plain,
% 150.45/150.92      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X2,X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4983]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_902,plain,
% 150.45/150.92      ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2128_4) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4973,plain,
% 150.45/150.92      ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_902]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4974,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4973]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_897,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2129_4) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4963,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_897]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4964,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4963]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_894,plain,
% 150.45/150.92      ( ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.92      | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2130_2) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4957,plain,
% 150.45/150.92      ( ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.92      | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_894]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4958,plain,
% 150.45/150.92      ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4957]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_889,plain,
% 150.45/150.92      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.92      | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | c_lessequals(c_Power_Opower__class_Opower(X1,X0,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.92      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2131_4) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4947,plain,
% 150.45/150.92      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.92      | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | c_lessequals(c_Power_Opower__class_Opower(X1,X0,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.92      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_889]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4948,plain,
% 150.45/150.92      ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 150.45/150.92      | c_lessequals(c_Power_Opower__class_Opower(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4947]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_881,plain,
% 150.45/150.92      ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X0,X1),X1)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2133_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4931,plain,
% 150.45/150.92      ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X0,X1),X1)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_881]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4932,plain,
% 150.45/150.92      ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 150.45/150.92      | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X0,X1),X1)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4931]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_877,plain,
% 150.45/150.92      ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X0,X1),X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2134_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4923,plain,
% 150.45/150.92      ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X0,X1),X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_877]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4924,plain,
% 150.45/150.92      ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X0,X1),X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4923]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_873,plain,
% 150.45/150.92      ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X0,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2135_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4915,plain,
% 150.45/150.92      ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X0,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_873]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4916,plain,
% 150.45/150.92      ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4915]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_864,plain,
% 150.45/150.92      ( X0 = X1
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 150.45/150.92      | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2138_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4897,plain,
% 150.45/150.92      ( X0 = X1
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 150.45/150.92      | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_864]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4898,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 150.45/150.92      | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 150.45/150.92      | X2 = X3 ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4897]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_859,plain,
% 150.45/150.92      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X0,X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2139_4) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4887,plain,
% 150.45/150.92      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X0,X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_859]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4888,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4887]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_854,plain,
% 150.45/150.92      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2140_4) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4877,plain,
% 150.45/150.92      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_854]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4878,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 150.45/150.92      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4877]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_827,plain,
% 150.45/150.92      ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Ofield(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2149_2) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4823,plain,
% 150.45/150.92      ( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Ofield(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_827]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4824,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Ofield(X0)
% 150.45/150.92      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4823]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_817,plain,
% 150.45/150.92      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.92      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 150.45/150.92      | ~ c_lessequals(X2,X3,X0) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2152_1) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4803,plain,
% 150.45/150.92      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.92      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 150.45/150.92      | ~ c_lessequals(X2,X3,X0) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_817]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4804,plain,
% 150.45/150.92      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.92      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 150.45/150.92      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4803]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_815,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.92      | ~ c_lessequals(X3,X1,X2)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 150.45/150.92      | ~ class_Orderings_Oorder(X2) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2152_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4799,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.92      | ~ c_lessequals(X3,X1,X2)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 150.45/150.92      | ~ class_Orderings_Oorder(X2) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_815]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4800,plain,
% 150.45/150.92      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.92      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.92      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4799]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_805,plain,
% 150.45/150.92      ( ~ class_Orderings_Opreorder(X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.92      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 150.45/150.92      | ~ c_lessequals(X3,X1,X0) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2155_1) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4779,plain,
% 150.45/150.92      ( ~ class_Orderings_Opreorder(X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.92      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 150.45/150.92      | ~ c_lessequals(X3,X1,X0) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_805]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4780,plain,
% 150.45/150.92      ( ~ class_Orderings_Opreorder(X0)
% 150.45/150.92      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 150.45/150.92      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4779]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_803,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.92      | ~ c_lessequals(X0,X3,X2)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 150.45/150.92      | ~ class_Orderings_Opreorder(X2) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2155_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4775,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.92      | ~ c_lessequals(X0,X3,X2)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 150.45/150.92      | ~ class_Orderings_Opreorder(X2) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_803]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4776,plain,
% 150.45/150.92      ( ~ class_Orderings_Opreorder(X0)
% 150.45/150.92      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.92      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4775]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_763,plain,
% 150.45/150.92      ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,X1),X2,X1) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2170_2) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4695,plain,
% 150.45/150.92      ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,X1),X2,X1) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_763]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4696,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__ring(X0)
% 150.45/150.92      | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4695]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_732,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2180_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4633,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_732]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4634,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.92      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4633]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_728,plain,
% 150.45/150.92      ( c_lessequals(X0,c_HOL_Oone__class_Oone(X1),X1)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2181_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4625,plain,
% 150.45/150.92      ( c_lessequals(X0,c_HOL_Oone__class_Oone(X1),X1)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_728]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4626,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4625]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_724,plain,
% 150.45/150.92      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2182_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4617,plain,
% 150.45/150.92      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_724]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4618,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4617]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_720,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X1),X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2183_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4609,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X1),X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_720]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4610,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4609]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_716,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2184_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4601,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_716]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4602,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4601]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_712,plain,
% 150.45/150.92      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2185_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4593,plain,
% 150.45/150.92      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_712]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4594,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.92      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4593]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_708,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2186_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4585,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_708]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4586,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4585]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_704,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2187_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4577,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_704]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4578,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4577]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_700,plain,
% 150.45/150.92      ( c_lessequals(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.92      | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.92      | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2188_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4569,plain,
% 150.45/150.92      ( c_lessequals(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.92      | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.92      | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_700]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4570,plain,
% 150.45/150.92      ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 150.45/150.92      | c_lessequals(c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4569]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_696,plain,
% 150.45/150.92      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2189_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4561,plain,
% 150.45/150.92      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_696]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4562,plain,
% 150.45/150.92      ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0)
% 150.45/150.92      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4561]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_692,plain,
% 150.45/150.92      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.92      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2190_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4553,plain,
% 150.45/150.92      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.92      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_692]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4554,plain,
% 150.45/150.92      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1)
% 150.45/150.92      | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4553]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_664,plain,
% 150.45/150.92      ( c_lessequals(X0,X1,X2)
% 150.45/150.92      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 150.45/150.92      | ~ c_lessequals(X1,X0,X2)
% 150.45/150.92      | ~ class_Orderings_Opreorder(X2) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2201_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4497,plain,
% 150.45/150.92      ( c_lessequals(X0,X1,X2)
% 150.45/150.92      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 150.45/150.92      | ~ c_lessequals(X1,X0,X2)
% 150.45/150.92      | ~ class_Orderings_Opreorder(X2) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_664]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4498,plain,
% 150.45/150.92      ( ~ class_Orderings_Opreorder(X0)
% 150.45/150.92      | c_lessequals(X1,X2,X0)
% 150.45/150.92      | ~ c_lessequals(X2,X1,X0)
% 150.45/150.92      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4497]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_660,plain,
% 150.45/150.92      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 150.45/150.92      | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 150.45/150.92      | ~ class_OrderedGroup_Omonoid__mult(X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2202_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4489,plain,
% 150.45/150.92      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 150.45/150.92      | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 150.45/150.92      | ~ class_OrderedGroup_Omonoid__mult(X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_660]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4490,plain,
% 150.45/150.92      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 150.45/150.92      | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.92      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4489]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_652,plain,
% 150.45/150.92      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 150.45/150.92      | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2204_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4473,plain,
% 150.45/150.92      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 150.45/150.92      | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_652]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4474,plain,
% 150.45/150.92      ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X0,X1),X1)
% 150.45/150.92      | X2 = c_HOL_Ozero__class_Ozero(X1) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4473]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_642,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X0,X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2207_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4453,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X0,X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_642]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4454,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4453]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_638,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2208_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4445,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_638]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4446,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.92      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4445]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_634,plain,
% 150.45/150.92      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2209_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4437,plain,
% 150.45/150.92      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_634]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4438,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 150.45/150.92      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4437]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_630,plain,
% 150.45/150.92      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2210_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4429,plain,
% 150.45/150.92      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_630]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4430,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4429]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_626,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 150.45/150.92      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2211_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4421,plain,
% 150.45/150.92      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 150.45/150.92      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_626]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4422,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.92      | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4421]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_622,plain,
% 150.45/150.92      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2212_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4413,plain,
% 150.45/150.92      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_622]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4414,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.92      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4413]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_614,plain,
% 150.45/150.92      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 150.45/150.92      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2214_3) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4397,plain,
% 150.45/150.92      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 150.45/150.92      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_614]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4398,plain,
% 150.45/150.92      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.92      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 150.45/150.92      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4397]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_604,plain,
% 150.45/150.92      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 150.45/150.92      | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2217_2) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4377,plain,
% 150.45/150.92      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 150.45/150.92      | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_604]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4378,plain,
% 150.45/150.92      ( ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.92      | ~ class_Ring__and__Field_Oordered__idom(X1)
% 150.45/150.92      | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X0,X1),X1) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4377]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_560,plain,
% 150.45/150.92      ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 150.45/150.92      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2232_2) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4289,plain,
% 150.45/150.92      ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 150.45/150.92      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_560]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4290,plain,
% 150.45/150.92      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.92      | c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 150.45/150.92      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4289]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_557,plain,
% 150.45/150.92      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 150.45/150.92      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 150.45/150.92      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2233_2) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4283,plain,
% 150.45/150.92      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1)
% 150.45/150.92      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 150.45/150.92      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 150.45/150.92      inference(copy,[status(esa)],[c_557]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_4284,plain,
% 150.45/150.92      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.92      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 150.45/150.92      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 150.45/150.92      inference(rewriting,[status(thm)],[c_4283]) ).
% 150.45/150.92  
% 150.45/150.92  cnf(c_420,plain,
% 150.45/150.92      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.92      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.93      | ~ class_Power_Opower(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Omult__zero(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2278_5) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_4009,plain,
% 150.45/150.93      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.93      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.93      | ~ class_Power_Opower(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Omult__zero(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_420]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_4010,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Omult__zero(X0)
% 150.45/150.93      | ~ class_Power_Opower(X0)
% 150.45/150.93      | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.93      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_4009]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_415,plain,
% 150.45/150.93      ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.93      | ~ class_Power_Opower(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Omult__zero(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2279_4) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_3999,plain,
% 150.45/150.93      ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.93      | ~ class_Power_Opower(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Omult__zero(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_415]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_4000,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Omult__zero(X0)
% 150.45/150.93      | ~ class_Power_Opower(X0)
% 150.45/150.93      | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_3999]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_402,plain,
% 150.45/150.93      ( X0 = X1
% 150.45/150.93      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2283_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_3973,plain,
% 150.45/150.93      ( X0 = X1
% 150.45/150.93      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_402]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_3974,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 150.45/150.93      | X1 = X2 ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_3973]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_331,plain,
% 150.45/150.93      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.93      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.93      | ~ class_Power_Opower(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Omult__zero(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2305_5) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_3831,plain,
% 150.45/150.93      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.93      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.93      | ~ class_Power_Opower(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Omult__zero(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_331]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_3832,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Omult__zero(X0)
% 150.45/150.93      | ~ class_Power_Opower(X0)
% 150.45/150.93      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.93      | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_3831]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_311,plain,
% 150.45/150.93      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2313_2) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_3791,plain,
% 150.45/150.93      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_311]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_3792,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__ring(X0)
% 150.45/150.93      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_3791]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_230,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 150.45/150.93      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 150.45/150.93      | X1 = X2
% 150.45/150.93      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.93      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2352_0) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_3629,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 150.45/150.93      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 150.45/150.93      | X1 = X2
% 150.45/150.93      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.93      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_230]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_3630,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 150.45/150.93      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 150.45/150.93      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.93      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.93      | X1 = X2 ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_3629]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_214,plain,
% 150.45/150.93      ( X0 = X1
% 150.45/150.93      | c_HOL_Oinverse__class_Oinverse(X0,X2) != c_HOL_Oinverse__class_Oinverse(X1,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__ring(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2357_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_3597,plain,
% 150.45/150.93      ( X0 = X1
% 150.45/150.93      | c_HOL_Oinverse__class_Oinverse(X0,X2) != c_HOL_Oinverse__class_Oinverse(X1,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__ring(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_214]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_3598,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__ring(X0)
% 150.45/150.93      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 150.45/150.93      | X1 = X2 ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_3597]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_211,plain,
% 150.45/150.93      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2358_2) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_3591,plain,
% 150.45/150.93      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_211]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_3592,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__ring(X0)
% 150.45/150.93      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_3591]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_192,plain,
% 150.45/150.93      ( X0 = c_HOL_Oone__class_Oone(X1)
% 150.45/150.93      | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oone__class_Oone(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Ofield(X1) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2364_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_3553,plain,
% 150.45/150.93      ( X0 = c_HOL_Oone__class_Oone(X1)
% 150.45/150.93      | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oone__class_Oone(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Ofield(X1) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_192]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_3554,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Ofield(X0)
% 150.45/150.93      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 150.45/150.93      | X1 = c_HOL_Oone__class_Oone(X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_3553]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_166,plain,
% 150.45/150.93      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2375_2) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_3501,plain,
% 150.45/150.93      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_166]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_3502,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__ring(X0)
% 150.45/150.93      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_3501]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_163,plain,
% 150.45/150.93      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Ofield(X0) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2376_2) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_3495,plain,
% 150.45/150.93      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Ofield(X0) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_163]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_3496,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Ofield(X0)
% 150.45/150.93      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_3495]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1409,plain,
% 150.45/150.93      ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 150.45/150.93      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X2,X1),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1),c_Suc(c_Polynomial_Oorder(X2,X0,X1)),tc_Polynomial_Opoly(X1)),X0,tc_Polynomial_Opoly(X1))
% 150.45/150.93      | ~ class_Ring__and__Field_Oidom(X1) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_1988_2) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5987,plain,
% 150.45/150.93      ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 150.45/150.93      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X2,X1),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1),c_Suc(c_Polynomial_Oorder(X2,X0,X1)),tc_Polynomial_Opoly(X1)),X0,tc_Polynomial_Opoly(X1))
% 150.45/150.93      | ~ class_Ring__and__Field_Oidom(X1) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1409]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5988,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oidom(X0)
% 150.45/150.93      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,X0),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),c_Suc(c_Polynomial_Oorder(X1,X2,X0)),tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0))
% 150.45/150.93      | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5987]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1402,plain,
% 150.45/150.93      ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X0,X1),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1),c_Polynomial_Oorder(X0,X2,X1),tc_Polynomial_Opoly(X1)),X2,tc_Polynomial_Opoly(X1))
% 150.45/150.93      | ~ class_Ring__and__Field_Oidom(X1) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_1992_1) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5973,plain,
% 150.45/150.93      ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X0,X1),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1),c_Polynomial_Oorder(X0,X2,X1),tc_Polynomial_Opoly(X1)),X2,tc_Polynomial_Opoly(X1))
% 150.45/150.93      | ~ class_Ring__and__Field_Oidom(X1) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1402]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5974,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oidom(X0)
% 150.45/150.93      | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,X0),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),c_Polynomial_Oorder(X1,X2,X0),tc_Polynomial_Opoly(X0)),X2,tc_Polynomial_Opoly(X0)) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5973]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1400,plain,
% 150.45/150.93      ( c_Polynomial_Ocoeff(c_Power_Opower__class_Opower(c_Polynomial_OpCons(X0,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1),X2,tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Oone__class_Oone(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_1995_1) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5969,plain,
% 150.45/150.93      ( c_Polynomial_Ocoeff(c_Power_Opower__class_Opower(c_Polynomial_OpCons(X0,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1),X2,tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Oone__class_Oone(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1400]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5970,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.93      | c_Polynomial_Ocoeff(c_Power_Opower__class_Opower(c_Polynomial_OpCons(X1,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X2,tc_Polynomial_Opoly(X0)),X2,X0) = c_HOL_Oone__class_Oone(X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5969]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1398,plain,
% 150.45/150.93      ( c_Polynomial_Odegree(c_Power_Opower__class_Opower(c_Polynomial_OpCons(X0,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1),X2,tc_Polynomial_Opoly(X1)),X1) = X2
% 150.45/150.93      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_1996_1) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5965,plain,
% 150.45/150.93      ( c_Polynomial_Odegree(c_Power_Opower__class_Opower(c_Polynomial_OpCons(X0,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1),X2,tc_Polynomial_Opoly(X1)),X1) = X2
% 150.45/150.93      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1398]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5966,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.93      | c_Polynomial_Odegree(c_Power_Opower__class_Opower(c_Polynomial_OpCons(X1,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X2,tc_Polynomial_Opoly(X0)),X0) = X2 ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5965]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1395,plain,
% 150.45/150.93      ( c_Polynomial_Opoly(X0,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 150.45/150.93      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,X2),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2),X2),X0,tc_Polynomial_Opoly(X2))
% 150.45/150.93      | ~ class_Ring__and__Field_Oidom(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_1997_2) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5959,plain,
% 150.45/150.93      ( c_Polynomial_Opoly(X0,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 150.45/150.93      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,X2),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2),X2),X0,tc_Polynomial_Opoly(X2))
% 150.45/150.93      | ~ class_Ring__and__Field_Oidom(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1395]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5960,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oidom(X0)
% 150.45/150.93      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,X0),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X2,tc_Polynomial_Opoly(X0))
% 150.45/150.93      | c_Polynomial_Opoly(X2,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5959]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1392,plain,
% 150.45/150.93      ( c_Polynomial_Opoly(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ozero__class_Ozero(X2)
% 150.45/150.93      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(X1,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2),X2),X0,tc_Polynomial_Opoly(X2))
% 150.45/150.93      | ~ class_Ring__and__Field_Oidom(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_1998_2) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5953,plain,
% 150.45/150.93      ( c_Polynomial_Opoly(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ozero__class_Ozero(X2)
% 150.45/150.93      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(X1,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2),X2),X0,tc_Polynomial_Opoly(X2))
% 150.45/150.93      | ~ class_Ring__and__Field_Oidom(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1392]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5954,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oidom(X0)
% 150.45/150.93      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(X1,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X2,tc_Polynomial_Opoly(X0))
% 150.45/150.93      | c_Polynomial_Opoly(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5953]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1386,plain,
% 150.45/150.93      ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X3,X4,X2),X2),X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2000_1) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5941,plain,
% 150.45/150.93      ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X3,X4,X2),X2),X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1386]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5942,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.93      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5941]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1384,plain,
% 150.45/150.93      ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X4,X2),X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2001_1) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5937,plain,
% 150.45/150.93      ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X4,X2),X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1384]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5938,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.93      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X4,X0),X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5937]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1380,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 150.45/150.93      | ~ c_lessequals(X2,X3,X0)
% 150.45/150.93      | ~ c_lessequals(X1,X4,X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2002_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5929,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 150.45/150.93      | ~ c_lessequals(X2,X3,X0)
% 150.45/150.93      | ~ c_lessequals(X1,X4,X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1380]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5930,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.93      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 150.45/150.93      | ~ c_lessequals(X3,X2,X0)
% 150.45/150.93      | ~ c_lessequals(X1,X4,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5929]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1374,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 150.45/150.93      | ~ c_lessequals(X2,X3,X0)
% 150.45/150.93      | ~ c_lessequals(X1,X4,X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2003_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5917,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 150.45/150.93      | ~ c_lessequals(X2,X3,X0)
% 150.45/150.93      | ~ c_lessequals(X1,X4,X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1374]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5918,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.93      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 150.45/150.93      | ~ c_lessequals(X2,X3,X0)
% 150.45/150.93      | ~ c_lessequals(X1,X4,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5917]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1356,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2006_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5881,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1356]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5882,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5881]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1348,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2007_5) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5865,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1348]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5866,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5865]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1345,plain,
% 150.45/150.93      ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X0,X1),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1),X2,tc_Polynomial_Opoly(X1))
% 150.45/150.93      | c_Polynomial_Opoly(X2,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Oidom(X1) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2008_2) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5859,plain,
% 150.45/150.93      ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X0,X1),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1),X2,tc_Polynomial_Opoly(X1))
% 150.45/150.93      | c_Polynomial_Opoly(X2,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Oidom(X1) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1345]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5860,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oidom(X0)
% 150.45/150.93      | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(X1,X0),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X2,tc_Polynomial_Opoly(X0))
% 150.45/150.93      | c_Polynomial_Opoly(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5859]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1342,plain,
% 150.45/150.93      ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(X0,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1),X2,tc_Polynomial_Opoly(X1))
% 150.45/150.93      | c_Polynomial_Opoly(X2,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Oidom(X1) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2009_2) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5853,plain,
% 150.45/150.93      ( c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(X0,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1),X2,tc_Polynomial_Opoly(X1))
% 150.45/150.93      | c_Polynomial_Opoly(X2,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Oidom(X1) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1342]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5854,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oidom(X0)
% 150.45/150.93      | c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(X1,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0),X2,tc_Polynomial_Opoly(X0))
% 150.45/150.93      | c_Polynomial_Opoly(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5853]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1338,plain,
% 150.45/150.93      ( c_lessequals(X0,X1,X2)
% 150.45/150.93      | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2010_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5845,plain,
% 150.45/150.93      ( c_lessequals(X0,X1,X2)
% 150.45/150.93      | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1338]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5846,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 150.45/150.93      | c_lessequals(X2,X1,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5845]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1335,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2011_2) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5839,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1335]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5840,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5839]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1331,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2012_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5831,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1331]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5832,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5831]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1323,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2014_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5815,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1323]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5816,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5815]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1319,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2015_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5807,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1319]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5808,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5807]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1315,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2016_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5799,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1315]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5800,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5799]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1311,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2017_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5791,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1311]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5792,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5791]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1299,plain,
% 150.45/150.93      ( c_lessequals(X0,X1,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2020_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5767,plain,
% 150.45/150.93      ( c_lessequals(X0,X1,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1299]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5768,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.93      | c_lessequals(X2,X3,X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5767]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1295,plain,
% 150.45/150.93      ( c_lessequals(X0,X1,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2021_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5759,plain,
% 150.45/150.93      ( c_lessequals(X0,X1,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1295]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5760,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.93      | c_lessequals(X3,X2,X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5759]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1291,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2022_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5751,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1291]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5752,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5751]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1279,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2025_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5727,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1279]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5728,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5727]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1271,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2027_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5711,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1271]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5712,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5711]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1265,plain,
% 150.45/150.93      ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2029_1) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5699,plain,
% 150.45/150.93      ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1265]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5700,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.93      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5699]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1264,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X3,X1,X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2030_0) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5697,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X3,X1,X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1264]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1261,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2030_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5691,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1261]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5692,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5691]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1260,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2031_0) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5689,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1260]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1257,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2031_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5683,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1257]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5684,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X2,X3,X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5683]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1253,plain,
% 150.45/150.93      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.93      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 150.45/150.93      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Oidom(X1) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2032_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5675,plain,
% 150.45/150.93      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.93      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 150.45/150.93      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Oidom(X1) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1253]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5676,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oidom(X0)
% 150.45/150.93      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.93      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 150.45/150.93      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5675]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1249,plain,
% 150.45/150.93      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.93      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 150.45/150.93      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Oidom(X1) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2033_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5667,plain,
% 150.45/150.93      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.93      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 150.45/150.93      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Oidom(X1) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1249]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5668,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oidom(X0)
% 150.45/150.93      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 150.45/150.93      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 150.45/150.93      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5667]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1246,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2034_2) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5661,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1246]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5662,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0),X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5661]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1242,plain,
% 150.45/150.93      ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 150.45/150.93      | ~ c_lessequals(X0,X3,X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2036_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5653,plain,
% 150.45/150.93      ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 150.45/150.93      | ~ c_lessequals(X0,X3,X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1242]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5654,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 150.45/150.93      | ~ c_lessequals(X1,X3,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5653]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1226,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2040_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5621,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1226]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5622,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5621]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1218,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2042_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5605,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1218]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5606,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5605]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1210,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2044_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5589,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1210]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5590,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5589]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1202,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2046_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5573,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1202]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5574,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5573]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1198,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2047_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5565,plain,
% 150.45/150.93      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1198]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5566,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.93      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5565]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1194,plain,
% 150.45/150.93      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 150.45/150.93      | ~ c_lessequals(X1,X3,X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2048_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5557,plain,
% 150.45/150.93      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 150.45/150.93      | ~ c_lessequals(X1,X3,X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1194]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5558,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.93      | ~ c_lessequals(X2,X3,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5557]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1190,plain,
% 150.45/150.93      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 150.45/150.93      | ~ c_lessequals(X1,X3,X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2049_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5549,plain,
% 150.45/150.93      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 150.45/150.93      | ~ c_lessequals(X1,X3,X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1190]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5550,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Omult__mono(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.93      | ~ c_lessequals(X2,X3,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5549]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1186,plain,
% 150.45/150.93      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.93      | ~ c_lessequals(X0,X3,X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2050_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5541,plain,
% 150.45/150.93      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.93      | ~ c_lessequals(X0,X3,X2)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1186]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5542,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Omult__mono(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 150.45/150.93      | ~ c_lessequals(X2,X3,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5541]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1153,plain,
% 150.45/150.93      ( c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(X0,X1,X2),c_Polynomial_Opoly(X3,X1,X2),X2) = c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(X0,X3,tc_Polynomial_Opoly(X2)),X1,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2058_1) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5475,plain,
% 150.45/150.93      ( c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(X0,X1,X2),c_Polynomial_Opoly(X3,X1,X2),X2) = c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(X0,X3,tc_Polynomial_Opoly(X2)),X1,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1153]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5476,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 150.45/150.93      | c_HOL_Otimes__class_Otimes(c_Polynomial_Opoly(X1,X2,X0),c_Polynomial_Opoly(X3,X2,X0),X0) = c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(X1,X3,tc_Polynomial_Opoly(X0)),X2,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5475]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1149,plain,
% 150.45/150.93      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 150.45/150.93      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 150.45/150.93      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2059_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5467,plain,
% 150.45/150.93      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 150.45/150.93      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 150.45/150.93      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1149]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5468,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.93      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 150.45/150.93      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 150.45/150.93      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5467]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1147,plain,
% 150.45/150.93      ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2060_1) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5463,plain,
% 150.45/150.93      ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 150.45/150.93      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1147]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5464,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.93      | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5463]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1145,plain,
% 150.45/150.93      ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 150.45/150.93      | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2061_1) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5459,plain,
% 150.45/150.93      ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 150.45/150.93      | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1145]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5460,plain,
% 150.45/150.93      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 150.45/150.93      | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5459]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1143,plain,
% 150.45/150.93      ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2062_1) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5455,plain,
% 150.45/150.93      ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1143]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5456,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oring__1(X0)
% 150.45/150.93      | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0),c_Power_Opower__class_Opower(X2,X1,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5455]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1127,plain,
% 150.45/150.93      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2066_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5423,plain,
% 150.45/150.93      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1127]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5424,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.93      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5423]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1126,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.93      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.93      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2067_0) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5421,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.93      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.93      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1126]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1123,plain,
% 150.45/150.93      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.93      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2067_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5415,plain,
% 150.45/150.93      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.93      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1123]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5416,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.93      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.93      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5415]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_1115,plain,
% 150.45/150.93      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.93      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2069_3) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5399,plain,
% 150.45/150.93      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.93      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.93      inference(copy,[status(esa)],[c_1115]) ).
% 150.45/150.93  
% 150.45/150.93  cnf(c_5400,plain,
% 150.45/150.93      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.93      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.93      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.93      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.93      inference(rewriting,[status(thm)],[c_5399]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_1111,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2070_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5391,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_1111]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5392,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5391]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_1107,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2071_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5383,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_1107]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5384,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.94      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5383]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_1103,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2072_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5375,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_1103]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5376,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.94      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5375]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_1086,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2076_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5341,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_1086]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5342,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5341]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_1082,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2077_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5333,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_1082]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5334,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5333]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_1078,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2078_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5325,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_1078]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5326,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5325]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_1066,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2081_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5301,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_1066]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5302,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5301]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_1062,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2082_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5293,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_1062]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5294,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 150.45/150.94      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5293]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_1054,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2084_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5277,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_1054]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5278,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 150.45/150.94      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5277]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_1050,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2085_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5269,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_1050]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5270,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.94      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5269]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_1046,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2086_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5261,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_1046]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5262,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.94      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5261]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_1042,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2087_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5253,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_1042]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5254,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 150.45/150.94      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5253]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_1022,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.94      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2092_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5213,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.94      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_1022]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5214,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5213]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_1014,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.94      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2094_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5197,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.94      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_1014]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5198,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5197]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_1011,plain,
% 150.45/150.94      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Oidom(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2095_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5191,plain,
% 150.45/150.94      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Oidom(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_1011]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5192,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oidom(X0)
% 150.45/150.94      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5191]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_1008,plain,
% 150.45/150.94      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Oidom(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2096_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5185,plain,
% 150.45/150.94      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Oidom(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_1008]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5186,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oidom(X0)
% 150.45/150.94      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5185]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_1005,plain,
% 150.45/150.94      ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2097_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5179,plain,
% 150.45/150.94      ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_1005]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5180,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.94      | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5179]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_978,plain,
% 150.45/150.94      ( c_Polynomial_Opoly(c_Power_Opower__class_Opower(X0,X1,tc_Polynomial_Opoly(X2)),X3,X2) = c_Power_Opower__class_Opower(c_Polynomial_Opoly(X0,X3,X2),X1,X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2104_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5125,plain,
% 150.45/150.94      ( c_Polynomial_Opoly(c_Power_Opower__class_Opower(X0,X1,tc_Polynomial_Opoly(X2)),X3,X2) = c_Power_Opower__class_Opower(c_Polynomial_Opoly(X0,X3,X2),X1,X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_978]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5126,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.94      | c_Polynomial_Opoly(c_Power_Opower__class_Opower(X1,X2,tc_Polynomial_Opoly(X0)),X3,X0) = c_Power_Opower__class_Opower(c_Polynomial_Opoly(X1,X3,X0),X2,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5125]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_974,plain,
% 150.45/150.94      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.94      | ~ c_lessequals(c_Power_Opower__class_Opower(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2105_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5117,plain,
% 150.45/150.94      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.94      | ~ c_lessequals(c_Power_Opower__class_Opower(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_974]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5118,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.94      | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5117]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_971,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2106_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5111,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_971]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5112,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5111]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_969,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 150.45/150.94      | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2107_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5107,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 150.45/150.94      | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_969]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5108,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 150.45/150.94      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5107]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_967,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2108_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5103,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_967]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5104,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.94      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5103]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_961,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2111_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5091,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_961]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5092,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.94      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5091]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_959,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2112_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5087,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_959]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5088,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.94      | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5087]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_957,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 150.45/150.94      | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2113_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5083,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 150.45/150.94      | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_957]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5084,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 150.45/150.94      | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5083]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_938,plain,
% 150.45/150.94      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,X2),X1,X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2118_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5045,plain,
% 150.45/150.94      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,X2),X1,X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_938]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5046,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 150.45/150.94      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5045]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_935,plain,
% 150.45/150.94      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2119_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5039,plain,
% 150.45/150.94      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_935]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5040,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 150.45/150.94      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5039]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_929,plain,
% 150.45/150.94      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oidom(X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2121_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5027,plain,
% 150.45/150.94      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oidom(X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_929]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5028,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oidom(X0)
% 150.45/150.94      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5027]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_927,plain,
% 150.45/150.94      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1),X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Oidom(X1) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2122_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5023,plain,
% 150.45/150.94      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X1),X1),X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Oidom(X1) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_927]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5024,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oidom(X0)
% 150.45/150.94      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Otimes__class_Otimes(X2,c_HOL_Ozero__class_Ozero(X0),X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_5023]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_919,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 150.45/150.94      | ~ c_lessequals(X2,X0,X1)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2124_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_5007,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 150.45/150.94      | ~ c_lessequals(X2,X0,X1)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_919]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_915,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 150.45/150.94      | ~ c_lessequals(X2,X0,X1)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2125_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4999,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oinverse__class_Oinverse(X2,X1),X1)
% 150.45/150.94      | ~ c_lessequals(X2,X0,X1)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_915]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_870,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2136_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4909,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_870]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4910,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4909]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_868,plain,
% 150.45/150.94      ( ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2137_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4905,plain,
% 150.45/150.94      ( ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_868]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4906,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.94      | ~ c_lessequals(c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4905]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_851,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2141_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4871,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_851]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4872,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.94      | c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4871]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_848,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2142_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4865,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_848]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4866,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.94      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4865]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_845,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2143_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4859,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_845]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4860,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.94      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4859]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_842,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2144_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4853,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_842]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4854,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4853]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_840,plain,
% 150.45/150.94      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2145_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4849,plain,
% 150.45/150.94      ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_840]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4850,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4849]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_837,plain,
% 150.45/150.94      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2146_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4843,plain,
% 150.45/150.94      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_837]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4844,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.94      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4843]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_834,plain,
% 150.45/150.94      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2147_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4837,plain,
% 150.45/150.94      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_834]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4838,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.94      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4837]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_833,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 150.45/150.94      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.94      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.94      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2148_0) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4835,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 150.45/150.94      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.94      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.94      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_833]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_830,plain,
% 150.45/150.94      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.94      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.94      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2148_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4829,plain,
% 150.45/150.94      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.94      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.94      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X2,X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_830]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4830,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 150.45/150.94      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 150.45/150.94      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.94      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4829]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_826,plain,
% 150.45/150.94      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.94      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.94      | ~ c_lessequals(X2,X3,X0)
% 150.45/150.94      | c_lessequals(X1,X3,X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2150_0) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4821,plain,
% 150.45/150.94      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.94      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.94      | ~ c_lessequals(X2,X3,X0)
% 150.45/150.94      | c_lessequals(X1,X3,X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_826]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_825,plain,
% 150.45/150.94      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.94      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.94      | c_lessequals(X1,X3,X0)
% 150.45/150.94      | ~ c_lessequals(X2,X3,X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2150_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4819,plain,
% 150.45/150.94      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.94      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.94      | c_lessequals(X1,X3,X0)
% 150.45/150.94      | ~ c_lessequals(X2,X3,X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_825]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_823,plain,
% 150.45/150.94      ( c_lessequals(X0,X1,X2)
% 150.45/150.94      | ~ c_lessequals(X3,X1,X2)
% 150.45/150.94      | ~ c_lessequals(X0,X3,X2)
% 150.45/150.94      | ~ class_Orderings_Oorder(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2150_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4815,plain,
% 150.45/150.94      ( c_lessequals(X0,X1,X2)
% 150.45/150.94      | ~ c_lessequals(X3,X1,X2)
% 150.45/150.94      | ~ c_lessequals(X0,X3,X2)
% 150.45/150.94      | ~ class_Orderings_Oorder(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_823]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4816,plain,
% 150.45/150.94      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.94      | c_lessequals(X1,X2,X0)
% 150.45/150.94      | ~ c_lessequals(X3,X2,X0)
% 150.45/150.94      | ~ c_lessequals(X1,X3,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4815]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_822,plain,
% 150.45/150.94      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.94      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2151_0) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4813,plain,
% 150.45/150.94      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.94      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_822]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_819,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 150.45/150.94      | ~ c_lessequals(X0,X3,X2)
% 150.45/150.94      | ~ class_Orderings_Oorder(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2151_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4807,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 150.45/150.94      | ~ c_lessequals(X0,X3,X2)
% 150.45/150.94      | ~ class_Orderings_Oorder(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_819]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4808,plain,
% 150.45/150.94      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.94      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4807]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_814,plain,
% 150.45/150.94      ( ~ class_Orderings_Opreorder(X0)
% 150.45/150.94      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.94      | ~ c_lessequals(X3,X1,X0)
% 150.45/150.94      | c_lessequals(X3,X2,X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2153_0) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4797,plain,
% 150.45/150.94      ( ~ class_Orderings_Opreorder(X0)
% 150.45/150.94      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.94      | ~ c_lessequals(X3,X1,X0)
% 150.45/150.94      | c_lessequals(X3,X2,X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_814]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_813,plain,
% 150.45/150.94      ( ~ class_Orderings_Opreorder(X0)
% 150.45/150.94      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.94      | c_lessequals(X3,X2,X0)
% 150.45/150.94      | ~ c_lessequals(X3,X1,X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2153_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4795,plain,
% 150.45/150.94      ( ~ class_Orderings_Opreorder(X0)
% 150.45/150.94      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.94      | c_lessequals(X3,X2,X0)
% 150.45/150.94      | ~ c_lessequals(X3,X1,X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_813]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_811,plain,
% 150.45/150.94      ( c_lessequals(X0,X1,X2)
% 150.45/150.94      | ~ c_lessequals(X0,X3,X2)
% 150.45/150.94      | ~ c_lessequals(X3,X1,X2)
% 150.45/150.94      | ~ class_Orderings_Opreorder(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2153_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4791,plain,
% 150.45/150.94      ( c_lessequals(X0,X1,X2)
% 150.45/150.94      | ~ c_lessequals(X0,X3,X2)
% 150.45/150.94      | ~ c_lessequals(X3,X1,X2)
% 150.45/150.94      | ~ class_Orderings_Opreorder(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_811]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4792,plain,
% 150.45/150.94      ( ~ class_Orderings_Opreorder(X0)
% 150.45/150.94      | c_lessequals(X1,X2,X0)
% 150.45/150.94      | ~ c_lessequals(X1,X3,X0)
% 150.45/150.94      | ~ c_lessequals(X3,X2,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4791]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_810,plain,
% 150.45/150.94      ( ~ class_Orderings_Opreorder(X0)
% 150.45/150.94      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2154_0) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4789,plain,
% 150.45/150.94      ( ~ class_Orderings_Opreorder(X0)
% 150.45/150.94      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_810]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_807,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 150.45/150.94      | ~ c_lessequals(X3,X1,X2)
% 150.45/150.94      | ~ class_Orderings_Opreorder(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2154_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4783,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 150.45/150.94      | ~ c_lessequals(X3,X1,X2)
% 150.45/150.94      | ~ class_Orderings_Opreorder(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_807]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4784,plain,
% 150.45/150.94      ( ~ class_Orderings_Opreorder(X0)
% 150.45/150.94      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4783]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_802,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 150.45/150.94      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2156_0) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4773,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 150.45/150.94      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_802]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_801,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 150.45/150.94      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2156_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4771,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 150.45/150.94      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_801]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_799,plain,
% 150.45/150.94      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2156_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4767,plain,
% 150.45/150.94      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_799]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4768,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.94      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 150.45/150.94      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4767]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_798,plain,
% 150.45/150.94      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2157_0) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4765,plain,
% 150.45/150.94      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_798]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_797,plain,
% 150.45/150.94      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2157_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4763,plain,
% 150.45/150.94      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X1,X3,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_797]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_795,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 150.45/150.94      | ~ class_Orderings_Oorder(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2157_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4759,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 150.45/150.94      | ~ class_Orderings_Oorder(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_795]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4760,plain,
% 150.45/150.94      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4759]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_794,plain,
% 150.45/150.94      ( ~ class_Orderings_Opreorder(X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2158_0) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4757,plain,
% 150.45/150.94      ( ~ class_Orderings_Opreorder(X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_794]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_793,plain,
% 150.45/150.94      ( ~ class_Orderings_Opreorder(X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2158_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4755,plain,
% 150.45/150.94      ( ~ class_Orderings_Opreorder(X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X3,X2,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_793]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_791,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 150.45/150.94      | ~ class_Orderings_Opreorder(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2158_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4751,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 150.45/150.94      | ~ class_Orderings_Opreorder(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_791]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4752,plain,
% 150.45/150.94      ( ~ class_Orderings_Opreorder(X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4751]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_788,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2159_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4745,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_788]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4746,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4745]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_785,plain,
% 150.45/150.94      ( c_lessequals(X0,X1,X2)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2160_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4739,plain,
% 150.45/150.94      ( c_lessequals(X0,X1,X2)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_785]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4740,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 150.45/150.94      | c_lessequals(X2,X1,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4739]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_783,plain,
% 150.45/150.94      ( c_Polynomial_Ocoeff(c_Polynomial_OpCons(X0,X1,X2),c_Suc(X3),X2) = c_Polynomial_Ocoeff(X1,X3,X2)
% 150.45/150.94      | ~ class_HOL_Ozero(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2161_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4735,plain,
% 150.45/150.94      ( c_Polynomial_Ocoeff(c_Polynomial_OpCons(X0,X1,X2),c_Suc(X3),X2) = c_Polynomial_Ocoeff(X1,X3,X2)
% 150.45/150.94      | ~ class_HOL_Ozero(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_783]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4736,plain,
% 150.45/150.94      ( ~ class_HOL_Ozero(X0)
% 150.45/150.94      | c_Polynomial_Ocoeff(c_Polynomial_OpCons(X1,X2,X0),c_Suc(X3),X0) = c_Polynomial_Ocoeff(X2,X3,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4735]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_779,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 150.45/150.94      | ~ class_Power_Opower(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2163_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4727,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 150.45/150.94      | ~ class_Power_Opower(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_779]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4728,plain,
% 150.45/150.94      ( ~ class_Power_Opower(X0)
% 150.45/150.94      | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4727]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_777,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 150.45/150.94      | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2164_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4723,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 150.45/150.94      | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_777]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4724,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 150.45/150.94      | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4723]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_773,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2166_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4715,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_773]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4716,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.94      | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4715]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_771,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2167_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4711,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_771]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4712,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.94      | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4711]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_769,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 150.45/150.94      | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2168_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4707,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 150.45/150.94      | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_769]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4708,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 150.45/150.94      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4707]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_766,plain,
% 150.45/150.94      ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.94      | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X2),X0,X2) = c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X0,X2),X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2169_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4701,plain,
% 150.45/150.94      ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.94      | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X2),X0,X2) = c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X1,X0,X2),X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_766]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4702,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 150.45/150.94      | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 150.45/150.94      | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(c_Power_Opower__class_Opower(X2,X1,X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4701]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_759,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2172_0) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4687,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_759]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_757,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2172_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4683,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_757]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4684,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4683]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_753,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2174_0) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4675,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_753]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_751,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2174_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4671,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_751]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4672,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4671]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_747,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 150.45/150.94      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2176_0) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4663,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 150.45/150.94      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_747]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_745,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2176_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4659,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_745]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4660,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.94      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4659]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_741,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.94      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 150.45/150.94      | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2178_0) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4651,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.94      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 150.45/150.94      | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_741]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_739,plain,
% 150.45/150.94      ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 150.45/150.94      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2178_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4647,plain,
% 150.45/150.94      ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 150.45/150.94      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_739]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4648,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.94      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4647]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_736,plain,
% 150.45/150.94      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.94      | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,X1),X2,X1) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2179_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4641,plain,
% 150.45/150.94      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.94      | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,X1),X2,X1) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_736]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4642,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 150.45/150.94      | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0) = c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 150.45/150.94      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4641]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_690,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Oring(X1) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2191_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4549,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Oring(X1) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_690]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4550,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oring(X0)
% 150.45/150.94      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4549]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_688,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Oring(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2192_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4545,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Oring(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_688]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4546,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oring(X0)
% 150.45/150.94      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4545]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_684,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 150.45/150.94      | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2194_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4537,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 150.45/150.94      | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_684]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4538,plain,
% 150.45/150.94      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 150.45/150.94      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4537]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_680,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 150.45/150.94      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2196_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4529,plain,
% 150.45/150.94      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 150.45/150.94      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_680]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4530,plain,
% 150.45/150.94      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 150.45/150.94      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4529]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_677,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2197_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4523,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_677]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4524,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4523]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_674,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2198_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4517,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_674]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4518,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.94      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4517]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_671,plain,
% 150.45/150.94      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2199_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4511,plain,
% 150.45/150.94      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_671]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4512,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 150.45/150.94      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4511]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_668,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2200_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4505,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_668]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4506,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4505]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_666,plain,
% 150.45/150.94      ( ~ class_Orderings_Opreorder(X0)
% 150.45/150.94      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.94      | c_lessequals(X2,X1,X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2201_1) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4501,plain,
% 150.45/150.94      ( ~ class_Orderings_Opreorder(X0)
% 150.45/150.94      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.94      | c_lessequals(X2,X1,X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_666]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_656,plain,
% 150.45/150.94      ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 150.45/150.94      | c_Polynomial_Opoly(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.94      | c_Polynomial_Oorder(X2,X0,X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.94      | ~ class_Ring__and__Field_Oidom(X1) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2203_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4481,plain,
% 150.45/150.94      ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 150.45/150.94      | c_Polynomial_Opoly(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.94      | c_Polynomial_Oorder(X2,X0,X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.94      | ~ class_Ring__and__Field_Oidom(X1) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_656]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4482,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oidom(X0)
% 150.45/150.94      | c_Polynomial_Oorder(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.94      | c_Polynomial_Opoly(X2,X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.94      | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4481]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_649,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2205_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4467,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X2,X0,X1)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_649]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4468,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4467]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_646,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 150.45/150.94      | ~ c_lessequals(X2,X0,X1)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2206_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4461,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 150.45/150.94      | ~ c_lessequals(X2,X0,X1)
% 150.45/150.94      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_646]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4462,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.94      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 150.45/150.94      | ~ c_lessequals(X2,X1,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4461]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_610,plain,
% 150.45/150.94      ( X0 = X1
% 150.45/150.94      | X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 150.45/150.94      | c_HOL_Otimes__class_Otimes(X0,X0,X2) != c_HOL_Otimes__class_Otimes(X1,X1,X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Oidom(X2) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2215_3) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4389,plain,
% 150.45/150.94      ( X0 = X1
% 150.45/150.94      | X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 150.45/150.94      | c_HOL_Otimes__class_Otimes(X0,X0,X2) != c_HOL_Otimes__class_Otimes(X1,X1,X2)
% 150.45/150.94      | ~ class_Ring__and__Field_Oidom(X2) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_610]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4390,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oidom(X0)
% 150.45/150.94      | c_HOL_Otimes__class_Otimes(X1,X1,X0) != c_HOL_Otimes__class_Otimes(X2,X2,X0)
% 150.45/150.94      | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
% 150.45/150.94      | X1 = X2 ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4389]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_601,plain,
% 150.45/150.94      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 150.45/150.94      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2218_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4371,plain,
% 150.45/150.94      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 150.45/150.94      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_601]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_598,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 150.45/150.94      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2219_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4365,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 150.45/150.94      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_598]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_595,plain,
% 150.45/150.94      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 150.45/150.94      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2220_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4359,plain,
% 150.45/150.94      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 150.45/150.94      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_595]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4360,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 150.45/150.94      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4359]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_592,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 150.45/150.94      | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2221_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4353,plain,
% 150.45/150.94      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 150.45/150.94      | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_592]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4354,plain,
% 150.45/150.94      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 150.45/150.94      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.94      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4353]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_589,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2222_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4347,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_589]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4348,plain,
% 150.45/150.94      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.94      | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 150.45/150.94      inference(rewriting,[status(thm)],[c_4347]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_586,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.94      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2223_2) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_4341,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.94      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 150.45/150.94      inference(copy,[status(esa)],[c_586]) ).
% 150.45/150.94  
% 150.45/150.94  cnf(c_583,plain,
% 150.45/150.94      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.94      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2224_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4335,plain,
% 150.45/150.95      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_583]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_580,plain,
% 150.45/150.95      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 150.45/150.95      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2225_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4329,plain,
% 150.45/150.95      ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 150.45/150.95      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_580]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4330,plain,
% 150.45/150.95      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.95      | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4329]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_577,plain,
% 150.45/150.95      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.95      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 150.45/150.95      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2226_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4323,plain,
% 150.45/150.95      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.95      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 150.45/150.95      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_577]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4324,plain,
% 150.45/150.95      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.95      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.95      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4323]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_574,plain,
% 150.45/150.95      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 150.45/150.95      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.95      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2227_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4317,plain,
% 150.45/150.95      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 150.45/150.95      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.95      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_574]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4318,plain,
% 150.45/150.95      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.95      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 150.45/150.95      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4317]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_571,plain,
% 150.45/150.95      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.95      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2228_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4311,plain,
% 150.45/150.95      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.95      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_571]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4312,plain,
% 150.45/150.95      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 150.45/150.95      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4311]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_568,plain,
% 150.45/150.95      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 150.45/150.95      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2229_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4305,plain,
% 150.45/150.95      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 150.45/150.95      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_568]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4306,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 150.45/150.95      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 150.45/150.95      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4305]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_565,plain,
% 150.45/150.95      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 150.45/150.95      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2230_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4299,plain,
% 150.45/150.95      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 150.45/150.95      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_565]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4300,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 150.45/150.95      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 150.45/150.95      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4299]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_563,plain,
% 150.45/150.95      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2231_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4295,plain,
% 150.45/150.95      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_563]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4296,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.95      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4295]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_554,plain,
% 150.45/150.95      ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 150.45/150.95      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.95      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2234_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4277,plain,
% 150.45/150.95      ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 150.45/150.95      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.95      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_554]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4278,plain,
% 150.45/150.95      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 150.45/150.95      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.95      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4277]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_551,plain,
% 150.45/150.95      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1)
% 150.45/150.95      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 150.45/150.95      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2235_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4271,plain,
% 150.45/150.95      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1)
% 150.45/150.95      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 150.45/150.95      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_551]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4272,plain,
% 150.45/150.95      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 150.45/150.95      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.95      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4271]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_548,plain,
% 150.45/150.95      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2236_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4265,plain,
% 150.45/150.95      ( c_HOL_Oord__class_Oless(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_548]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4266,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.95      | c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4265]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_536,plain,
% 150.45/150.95      ( X0 = X1
% 150.45/150.95      | ~ c_lessequals(X0,X1,X2)
% 150.45/150.95      | ~ c_lessequals(X1,X0,X2)
% 150.45/150.95      | ~ class_Orderings_Oorder(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2239_3) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4241,plain,
% 150.45/150.95      ( X0 = X1
% 150.45/150.95      | ~ c_lessequals(X0,X1,X2)
% 150.45/150.95      | ~ c_lessequals(X1,X0,X2)
% 150.45/150.95      | ~ class_Orderings_Oorder(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_536]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4242,plain,
% 150.45/150.95      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.95      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.95      | ~ c_lessequals(X2,X1,X0)
% 150.45/150.95      | X1 = X2 ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4241]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_538,plain,
% 150.45/150.95      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.95      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.95      | X2 = X1
% 150.45/150.95      | ~ c_lessequals(X2,X1,X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2239_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4245,plain,
% 150.45/150.95      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.95      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.95      | X2 = X1
% 150.45/150.95      | ~ c_lessequals(X2,X1,X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_538]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4246,plain,
% 150.45/150.95      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.95      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.95      | ~ c_lessequals(X2,X1,X0)
% 150.45/150.95      | X2 = X1 ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4245]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_534,plain,
% 150.45/150.95      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0),X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2240_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4237,plain,
% 150.45/150.95      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0),X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_534]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4238,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.95      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0),X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4237]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_531,plain,
% 150.45/150.95      ( X0 = X1
% 150.45/150.95      | c_Polynomial_OpCons(X2,X0,X3) != c_Polynomial_OpCons(X4,X1,X3)
% 150.45/150.95      | ~ class_HOL_Ozero(X3) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2241_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4231,plain,
% 150.45/150.95      ( X0 = X1
% 150.45/150.95      | c_Polynomial_OpCons(X2,X0,X3) != c_Polynomial_OpCons(X4,X1,X3)
% 150.45/150.95      | ~ class_HOL_Ozero(X3) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_531]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4232,plain,
% 150.45/150.95      ( ~ class_HOL_Ozero(X0)
% 150.45/150.95      | c_Polynomial_OpCons(X1,X2,X0) != c_Polynomial_OpCons(X3,X4,X0)
% 150.45/150.95      | X2 = X4 ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4231]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_528,plain,
% 150.45/150.95      ( X0 = X1
% 150.45/150.95      | c_Polynomial_OpCons(X0,X2,X3) != c_Polynomial_OpCons(X1,X4,X3)
% 150.45/150.95      | ~ class_HOL_Ozero(X3) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2242_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4225,plain,
% 150.45/150.95      ( X0 = X1
% 150.45/150.95      | c_Polynomial_OpCons(X0,X2,X3) != c_Polynomial_OpCons(X1,X4,X3)
% 150.45/150.95      | ~ class_HOL_Ozero(X3) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_528]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4226,plain,
% 150.45/150.95      ( ~ class_HOL_Ozero(X0)
% 150.45/150.95      | c_Polynomial_OpCons(X1,X2,X0) != c_Polynomial_OpCons(X3,X4,X0)
% 150.45/150.95      | X1 = X3 ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4225]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_525,plain,
% 150.45/150.95      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 150.45/150.95      | ~ class_Orderings_Oorder(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2243_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4219,plain,
% 150.45/150.95      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 150.45/150.95      | ~ class_Orderings_Oorder(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_525]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4220,plain,
% 150.45/150.95      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4219]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_522,plain,
% 150.45/150.95      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 150.45/150.95      | ~ class_Orderings_Olinorder(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2244_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4213,plain,
% 150.45/150.95      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 150.45/150.95      | ~ class_Orderings_Olinorder(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_522]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4214,plain,
% 150.45/150.95      ( ~ class_Orderings_Olinorder(X0)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4213]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_516,plain,
% 150.45/150.95      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 150.45/150.95      | ~ class_Orderings_Opreorder(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2246_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4201,plain,
% 150.45/150.95      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 150.45/150.95      | ~ class_Orderings_Opreorder(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_516]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4202,plain,
% 150.45/150.95      ( ~ class_Orderings_Opreorder(X0)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4201]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_513,plain,
% 150.45/150.95      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.95      | ~ c_lessequals(X1,X0,X2)
% 150.45/150.95      | ~ class_Orderings_Opreorder(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2247_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4195,plain,
% 150.45/150.95      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.95      | ~ c_lessequals(X1,X0,X2)
% 150.45/150.95      | ~ class_Orderings_Opreorder(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_513]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4196,plain,
% 150.45/150.95      ( ~ class_Orderings_Opreorder(X0)
% 150.45/150.95      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4195]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_510,plain,
% 150.45/150.95      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 150.45/150.95      | ~ c_lessequals(X0,X0,X1)
% 150.45/150.95      | ~ class_Orderings_Olinorder(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2248_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4189,plain,
% 150.45/150.95      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 150.45/150.95      | ~ c_lessequals(X0,X0,X1)
% 150.45/150.95      | ~ class_Orderings_Olinorder(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_510]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4190,plain,
% 150.45/150.95      ( ~ class_Orderings_Olinorder(X0)
% 150.45/150.95      | ~ c_lessequals(X1,X1,X0)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4189]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_504,plain,
% 150.45/150.95      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.95      | ~ c_lessequals(X1,X0,X2)
% 150.45/150.95      | ~ class_Orderings_Olinorder(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2250_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4177,plain,
% 150.45/150.95      ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.95      | ~ c_lessequals(X1,X0,X2)
% 150.45/150.95      | ~ class_Orderings_Olinorder(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_504]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4178,plain,
% 150.45/150.95      ( ~ class_Orderings_Olinorder(X0)
% 150.45/150.95      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4177]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_500,plain,
% 150.45/150.95      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2252_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4169,plain,
% 150.45/150.95      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_500]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4170,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 150.45/150.95      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4169]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_497,plain,
% 150.45/150.95      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 150.45/150.95      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2253_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4163,plain,
% 150.45/150.95      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 150.45/150.95      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_497]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4164,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 150.45/150.95      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 150.45/150.95      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4163]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_494,plain,
% 150.45/150.95      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 150.45/150.95      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2254_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4157,plain,
% 150.45/150.95      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 150.45/150.95      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_494]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4158,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 150.45/150.95      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 150.45/150.95      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4157]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_492,plain,
% 150.45/150.95      ( c_Polynomial_Ocoeff(c_Polynomial_OpCons(X0,X1,X2),c_HOL_Ozero__class_Ozero(tc_nat),X2) = X0
% 150.45/150.95      | ~ class_HOL_Ozero(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2255_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4153,plain,
% 150.45/150.95      ( c_Polynomial_Ocoeff(c_Polynomial_OpCons(X0,X1,X2),c_HOL_Ozero__class_Ozero(tc_nat),X2) = X0
% 150.45/150.95      | ~ class_HOL_Ozero(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_492]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4154,plain,
% 150.45/150.95      ( ~ class_HOL_Ozero(X0)
% 150.45/150.95      | c_Polynomial_Ocoeff(c_Polynomial_OpCons(X1,X2,X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = X1 ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4153]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_489,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 150.45/150.95      | c_Polynomial_Odegree(c_Polynomial_OpCons(X2,X0,X1),X1) = c_Suc(c_Polynomial_Odegree(X0,X1))
% 150.45/150.95      | ~ class_HOL_Ozero(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2256_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4147,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 150.45/150.95      | c_Polynomial_Odegree(c_Polynomial_OpCons(X2,X0,X1),X1) = c_Suc(c_Polynomial_Odegree(X0,X1))
% 150.45/150.95      | ~ class_HOL_Ozero(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_489]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4148,plain,
% 150.45/150.95      ( ~ class_HOL_Ozero(X0)
% 150.45/150.95      | c_Polynomial_Odegree(c_Polynomial_OpCons(X1,X2,X0),X0) = c_Suc(c_Polynomial_Odegree(X2,X0))
% 150.45/150.95      | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4147]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_487,plain,
% 150.45/150.95      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2257_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4143,plain,
% 150.45/150.95      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_487]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4144,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.95      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4143]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_485,plain,
% 150.45/150.95      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2258_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4139,plain,
% 150.45/150.95      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_485]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4140,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.95      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4139]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_483,plain,
% 150.45/150.95      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 150.45/150.95      | ~ class_Ring__and__Field_Odvd(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2259_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4135,plain,
% 150.45/150.95      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 150.45/150.95      | ~ class_Ring__and__Field_Odvd(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_483]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4136,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Odvd(X0)
% 150.45/150.95      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4135]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_481,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Otimes__class_Otimes(X0,X0,X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Oidom(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2260_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4131,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Otimes__class_Otimes(X0,X0,X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Oidom(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_481]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4132,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Oidom(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4131]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_479,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Otimes__class_Otimes(X0,X2,X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Oring(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2261_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4127,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Otimes__class_Otimes(X0,X2,X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Oring(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_479]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4128,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Oring(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4127]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_477,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Oring(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2262_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4123,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Oring(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_477]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4124,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Oring(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4123]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_475,plain,
% 150.45/150.95      ( c_Polynomial_Odegree(c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1) = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.95      | ~ class_HOL_Ozero(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2263_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4119,plain,
% 150.45/150.95      ( c_Polynomial_Odegree(c_Polynomial_OpCons(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1) = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.95      | ~ class_HOL_Ozero(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_475]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4120,plain,
% 150.45/150.95      ( ~ class_HOL_Ozero(X0)
% 150.45/150.95      | c_Polynomial_Odegree(c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4119]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_472,plain,
% 150.45/150.95      ( c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_Power_Opower__class_Opower(X0,X2,X1)
% 150.45/150.95      | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2264_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4113,plain,
% 150.45/150.95      ( c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_Power_Opower__class_Opower(X0,X2,X1)
% 150.45/150.95      | ~ c_Parity_Oeven__odd__class_Oeven(X2,tc_nat)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_472]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4114,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 150.45/150.95      | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 150.45/150.95      | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) = c_Power_Opower__class_Opower(X2,X1,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4113]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_469,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 150.45/150.95      | c_Polynomial_Ocoeff(X0,c_Polynomial_Odegree(X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_HOL_Ozero(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2265_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4107,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 150.45/150.95      | c_Polynomial_Ocoeff(X0,c_Polynomial_Odegree(X0,X1),X1) != c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_HOL_Ozero(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_469]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4108,plain,
% 150.45/150.95      ( ~ class_HOL_Ozero(X0)
% 150.45/150.95      | c_Polynomial_Ocoeff(X1,c_Polynomial_Odegree(X1,X0),X0) != c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4107]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_461,plain,
% 150.45/150.95      ( X0 = X1
% 150.45/150.95      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 150.45/150.95      | ~ c_lessequals(X1,X0,X2)
% 150.45/150.95      | ~ class_Orderings_Oorder(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2267_3) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4091,plain,
% 150.45/150.95      ( X0 = X1
% 150.45/150.95      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 150.45/150.95      | ~ c_lessequals(X1,X0,X2)
% 150.45/150.95      | ~ class_Orderings_Oorder(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_461]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4092,plain,
% 150.45/150.95      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.95      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.95      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.95      | X2 = X1 ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4091]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_453,plain,
% 150.45/150.95      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.95      | X0 = X1
% 150.45/150.95      | ~ c_lessequals(X0,X1,X2)
% 150.45/150.95      | ~ class_Orderings_Olinorder(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2269_3) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4075,plain,
% 150.45/150.95      ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.95      | X0 = X1
% 150.45/150.95      | ~ c_lessequals(X0,X1,X2)
% 150.45/150.95      | ~ class_Orderings_Olinorder(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_453]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4076,plain,
% 150.45/150.95      ( ~ class_Orderings_Olinorder(X0)
% 150.45/150.95      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.95      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.95      | X1 = X2 ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4075]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_437,plain,
% 150.45/150.95      ( X0 = X1
% 150.45/150.95      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.95      | ~ c_lessequals(X0,X1,X2)
% 150.45/150.95      | ~ class_Orderings_Oorder(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2273_3) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4043,plain,
% 150.45/150.95      ( X0 = X1
% 150.45/150.95      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.95      | ~ c_lessequals(X0,X1,X2)
% 150.45/150.95      | ~ class_Orderings_Oorder(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_437]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4044,plain,
% 150.45/150.95      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.95      | ~ c_lessequals(X1,X2,X0)
% 150.45/150.95      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.95      | X1 = X2 ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4043]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_434,plain,
% 150.45/150.95      ( c_lessequals(X0,X1,X2)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.95      | ~ class_Orderings_Opreorder(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2274_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4037,plain,
% 150.45/150.95      ( c_lessequals(X0,X1,X2)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.95      | ~ class_Orderings_Opreorder(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_434]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4038,plain,
% 150.45/150.95      ( ~ class_Orderings_Opreorder(X0)
% 150.45/150.95      | c_lessequals(X1,X2,X0)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4037]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_431,plain,
% 150.45/150.95      ( c_lessequals(X0,X1,X2)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.95      | ~ class_Orderings_Oorder(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2275_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4031,plain,
% 150.45/150.95      ( c_lessequals(X0,X1,X2)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.95      | ~ class_Orderings_Oorder(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_431]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4032,plain,
% 150.45/150.95      ( ~ class_Orderings_Oorder(X0)
% 150.45/150.95      | c_lessequals(X1,X2,X0)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4031]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_429,plain,
% 150.45/150.95      ( c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_HOL_Ozero(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2276_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4027,plain,
% 150.45/150.95      ( c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_HOL_Ozero(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_429]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4028,plain,
% 150.45/150.95      ( ~ class_HOL_Ozero(X0)
% 150.45/150.95      | c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4027]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_426,plain,
% 150.45/150.95      ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.95      | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1),X0,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2277_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4021,plain,
% 150.45/150.95      ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.95      | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1),X0,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X1),X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_426]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_4022,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 150.45/150.95      | c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 150.45/150.95      | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_4021]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_412,plain,
% 150.45/150.95      ( c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 150.45/150.95      | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2280_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3993,plain,
% 150.45/150.95      ( c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 150.45/150.95      | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_412]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3994,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 150.45/150.95      | ~ c_Parity_Oeven__odd__class_Oeven(X1,tc_nat)
% 150.45/150.95      | c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3993]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_409,plain,
% 150.45/150.95      ( c_Polynomial_Oorder(X0,X1,X2) = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.95      | c_Polynomial_Opoly(X1,X0,X2) = c_HOL_Ozero__class_Ozero(X2)
% 150.45/150.95      | ~ class_Ring__and__Field_Oidom(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2281_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3987,plain,
% 150.45/150.95      ( c_Polynomial_Oorder(X0,X1,X2) = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.95      | c_Polynomial_Opoly(X1,X0,X2) = c_HOL_Ozero__class_Ozero(X2)
% 150.45/150.95      | ~ class_Ring__and__Field_Oidom(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_409]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3988,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Oidom(X0)
% 150.45/150.95      | c_Polynomial_Oorder(X1,X2,X0) = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.95      | c_Polynomial_Opoly(X2,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3987]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_406,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 150.45/150.95      | c_Polynomial_OpCons(X2,X0,X1) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 150.45/150.95      | ~ class_HOL_Ozero(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2282_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3981,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 150.45/150.95      | c_Polynomial_OpCons(X2,X0,X1) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 150.45/150.95      | ~ class_HOL_Ozero(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_406]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3982,plain,
% 150.45/150.95      ( ~ class_HOL_Ozero(X0)
% 150.45/150.95      | c_Polynomial_OpCons(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3981]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_404,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.95      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.95      | X2 = X1
% 150.45/150.95      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2283_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3977,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.95      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.95      | X2 = X1
% 150.45/150.95      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_404]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3978,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.95      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.95      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 150.45/150.95      | X2 = X1 ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3977]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_386,plain,
% 150.45/150.95      ( X0 = X1
% 150.45/150.95      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.95      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 150.45/150.95      | ~ class_Orderings_Olinorder(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2287_3) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3941,plain,
% 150.45/150.95      ( X0 = X1
% 150.45/150.95      | c_HOL_Oord__class_Oless(X0,X1,X2)
% 150.45/150.95      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 150.45/150.95      | ~ class_Orderings_Olinorder(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_386]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3942,plain,
% 150.45/150.95      ( ~ class_Orderings_Olinorder(X0)
% 150.45/150.95      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.95      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 150.45/150.95      | X1 = X2 ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3941]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_388,plain,
% 150.45/150.95      ( ~ class_Orderings_Olinorder(X0)
% 150.45/150.95      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.95      | X2 = X1
% 150.45/150.95      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2287_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3945,plain,
% 150.45/150.95      ( ~ class_Orderings_Olinorder(X0)
% 150.45/150.95      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.95      | X2 = X1
% 150.45/150.95      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_388]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3946,plain,
% 150.45/150.95      ( ~ class_Orderings_Olinorder(X0)
% 150.45/150.95      | c_HOL_Oord__class_Oless(X1,X2,X0)
% 150.45/150.95      | c_HOL_Oord__class_Oless(X2,X1,X0)
% 150.45/150.95      | X2 = X1 ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3945]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_383,plain,
% 150.45/150.95      ( c_lessequals(X0,X1,X2)
% 150.45/150.95      | c_lessequals(X1,X0,X2)
% 150.45/150.95      | ~ class_Orderings_Olinorder(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2288_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3935,plain,
% 150.45/150.95      ( c_lessequals(X0,X1,X2)
% 150.45/150.95      | c_lessequals(X1,X0,X2)
% 150.45/150.95      | ~ class_Orderings_Olinorder(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_383]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3936,plain,
% 150.45/150.95      ( ~ class_Orderings_Olinorder(X0)
% 150.45/150.95      | c_lessequals(X1,X2,X0)
% 150.45/150.95      | c_lessequals(X2,X1,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3935]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_377,plain,
% 150.45/150.95      ( c_lessequals(X0,X0,X1)
% 150.45/150.95      | c_HOL_Oord__class_Oless(X0,X0,X1)
% 150.45/150.95      | ~ class_Orderings_Olinorder(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2290_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3923,plain,
% 150.45/150.95      ( c_lessequals(X0,X0,X1)
% 150.45/150.95      | c_HOL_Oord__class_Oless(X0,X0,X1)
% 150.45/150.95      | ~ class_Orderings_Olinorder(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_377]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3924,plain,
% 150.45/150.95      ( ~ class_Orderings_Olinorder(X0)
% 150.45/150.95      | c_lessequals(X1,X1,X0)
% 150.45/150.95      | c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3923]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_371,plain,
% 150.45/150.95      ( c_lessequals(X0,X1,X2)
% 150.45/150.95      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 150.45/150.95      | ~ class_Orderings_Olinorder(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2292_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3911,plain,
% 150.45/150.95      ( c_lessequals(X0,X1,X2)
% 150.45/150.95      | c_HOL_Oord__class_Oless(X1,X0,X2)
% 150.45/150.95      | ~ class_Orderings_Olinorder(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_371]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3912,plain,
% 150.45/150.95      ( ~ class_Orderings_Olinorder(X0)
% 150.45/150.95      | c_lessequals(X1,X2,X0)
% 150.45/150.95      | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3911]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_367,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2294_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3903,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_367]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3904,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3903]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_364,plain,
% 150.45/150.95      ( c_HOL_Oinverse__class_Oinverse(X0,X1) = X2
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Oone__class_Oone(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2295_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3897,plain,
% 150.45/150.95      ( c_HOL_Oinverse__class_Oinverse(X0,X1) = X2
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Oone__class_Oone(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_364]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3898,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 150.45/150.95      | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2 ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3897]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_361,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_Polynomial_OpCons(X0,X2,X1) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 150.45/150.95      | ~ class_HOL_Ozero(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2296_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3891,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_Polynomial_OpCons(X0,X2,X1) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 150.45/150.95      | ~ class_HOL_Ozero(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_361]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3892,plain,
% 150.45/150.95      ( ~ class_HOL_Ozero(X0)
% 150.45/150.95      | c_Polynomial_OpCons(X1,X2,X0) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3891]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_359,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0)
% 150.45/150.95      | ~ class_Int_Onumber__ring(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2297_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3887,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0)
% 150.45/150.95      | ~ class_Int_Onumber__ring(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_359]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3888,plain,
% 150.45/150.95      ( ~ class_Int_Onumber__ring(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X0),X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3887]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_357,plain,
% 150.45/150.95      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2298_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3883,plain,
% 150.45/150.95      ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_357]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3884,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.95      | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3883]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_355,plain,
% 150.45/150.95      ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2299_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3879,plain,
% 150.45/150.95      ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_355]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3880,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.95      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3879]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_350,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2301_0) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3869,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_350]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_347,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2301_3) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3863,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_347]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3864,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3863]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_346,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2302_0) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3861,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_346]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_343,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2302_3) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3855,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_343]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3856,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3855]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_340,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2303_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3849,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_340]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3850,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.95      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 150.45/150.95      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3849]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_337,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2304_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3843,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_337]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3844,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 150.45/150.95      | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3843]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_328,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Ofield(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2306_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3825,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Ofield(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_328]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3826,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ofield(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 150.45/150.95      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3825]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_325,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2307_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3819,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_325]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3820,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 150.45/150.95      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3819]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_322,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oone__class_Oone(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2308_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3813,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oone__class_Oone(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_322]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3814,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oone__class_Oone(X0)
% 150.45/150.95      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3813]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_320,plain,
% 150.45/150.95      ( c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_HOL_Ozero(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2309_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3809,plain,
% 150.45/150.95      ( c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_HOL_Ozero(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_320]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3810,plain,
% 150.45/150.95      ( ~ class_HOL_Ozero(X0)
% 150.45/150.95      | c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3809]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_318,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2310_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3805,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_318]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3806,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3805]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_316,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2311_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3801,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_316]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3802,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),tc_Polynomial_Opoly(X0)) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3801]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_314,plain,
% 150.45/150.95      ( c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2312_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3797,plain,
% 150.45/150.95      ( c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_314]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3798,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.95      | c_Polynomial_OpCons(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3797]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_309,plain,
% 150.45/150.95      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2314_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3787,plain,
% 150.45/150.95      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_309]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3788,plain,
% 150.45/150.95      ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3787]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_307,plain,
% 150.45/150.95      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2315_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3783,plain,
% 150.45/150.95      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_307]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3784,plain,
% 150.45/150.95      ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3783]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_305,plain,
% 150.45/150.95      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2316_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3779,plain,
% 150.45/150.95      ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_305]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3780,plain,
% 150.45/150.95      ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3779]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_302,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2317_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3773,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_302]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3774,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 150.45/150.95      | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 150.45/150.95      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3773]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_299,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.95      | c_Polynomial_Ocoeff(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X1)),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2318_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3767,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.95      | c_Polynomial_Ocoeff(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X1)),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_299]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3768,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.95      | c_Polynomial_Ocoeff(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3767]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_297,plain,
% 150.45/150.95      ( c_Polynomial_Ocoeff(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2319_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3763,plain,
% 150.45/150.95      ( c_Polynomial_Ocoeff(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_297]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3764,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.95      | c_Polynomial_Ocoeff(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3763]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_294,plain,
% 150.45/150.95      ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_Power_Opower(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2320_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3757,plain,
% 150.45/150.95      ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_Power_Opower(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_294]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3758,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 150.45/150.95      | ~ class_Power_Opower(X0)
% 150.45/150.95      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3757]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_292,plain,
% 150.45/150.95      ( c_Polynomial_Opoly(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2321_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3753,plain,
% 150.45/150.95      ( c_Polynomial_Opoly(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_292]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3754,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.95      | c_Polynomial_Opoly(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3753]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_290,plain,
% 150.45/150.95      ( c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_HOL_Ozero(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2322_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3749,plain,
% 150.45/150.95      ( c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_HOL_Ozero(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_290]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3750,plain,
% 150.45/150.95      ( ~ class_HOL_Ozero(X0)
% 150.45/150.95      | c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3749]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_288,plain,
% 150.45/150.95      ( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Oidom(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2323_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3745,plain,
% 150.45/150.95      ( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Oidom(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_288]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3746,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Oidom(X0)
% 150.45/150.95      | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3745]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_286,plain,
% 150.45/150.95      ( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2324_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3741,plain,
% 150.45/150.95      ( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_286]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3742,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 150.45/150.95      | c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3741]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_282,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.95      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_Power_Opower(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2325_3) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3733,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.95      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_Power_Opower(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_282]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3734,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 150.45/150.95      | ~ class_Power_Opower(X0)
% 150.45/150.95      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3733]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_279,plain,
% 150.45/150.95      ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 150.45/150.95      | ~ class_Power_Opower(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2327_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3727,plain,
% 150.45/150.95      ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 150.45/150.95      | ~ class_Power_Opower(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_279]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3728,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 150.45/150.95      | ~ class_Power_Opower(X0)
% 150.45/150.95      | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3727]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_277,plain,
% 150.45/150.95      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2328_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3723,plain,
% 150.45/150.95      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_277]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3724,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.95      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3723]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_275,plain,
% 150.45/150.95      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2329_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3719,plain,
% 150.45/150.95      ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_275]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3720,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 150.45/150.95      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3719]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_273,plain,
% 150.45/150.95      ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 150.45/150.95      | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2330_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3715,plain,
% 150.45/150.95      ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 150.45/150.95      | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_273]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3716,plain,
% 150.45/150.95      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 150.45/150.95      | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3715]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_269,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2332_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3707,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_269]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3708,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3707]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_265,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2334_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3699,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_265]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3700,plain,
% 150.45/150.95      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3699]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_261,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2336_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3691,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_261]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3692,plain,
% 150.45/150.95      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3691]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_259,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2337_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3687,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_259]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3688,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3687]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_257,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2338_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3683,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_257]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3684,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Omult__zero(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3683]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_255,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2339_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3679,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_255]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3680,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Omult__zero(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3679]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_253,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2340_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3675,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_253]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3676,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3675]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_251,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2341_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3671,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_251]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3672,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3671]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_247,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2343_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3663,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_247]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3664,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3663]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_245,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2344_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3659,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_245]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3660,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3659]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_243,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 150.45/150.95      | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2345_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3655,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 150.45/150.95      | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_243]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3656,plain,
% 150.45/150.95      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3655]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_241,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 150.45/150.95      | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2346_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3651,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 150.45/150.95      | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_241]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3652,plain,
% 150.45/150.95      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3651]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_239,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 150.45/150.95      | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2347_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3647,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 150.45/150.95      | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_239]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3648,plain,
% 150.45/150.95      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3647]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_237,plain,
% 150.45/150.95      ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 150.45/150.95      | ~ class_Power_Opower(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2348_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3643,plain,
% 150.45/150.95      ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 150.45/150.95      | ~ class_Power_Opower(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_237]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3644,plain,
% 150.45/150.95      ( ~ class_Power_Opower(X0)
% 150.45/150.95      | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3643]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_235,plain,
% 150.45/150.95      ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2349_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3639,plain,
% 150.45/150.95      ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_235]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3640,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.95      | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3639]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_233,plain,
% 150.45/150.95      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2350_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3635,plain,
% 150.45/150.95      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_233]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3636,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.95      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3635]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_231,plain,
% 150.45/150.95      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2351_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3631,plain,
% 150.45/150.95      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_231]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3632,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.95      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3631]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_226,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | X0 = X2
% 150.45/150.95      | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oinverse__class_Oinverse(X2,X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2352_4) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3621,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | X0 = X2
% 150.45/150.95      | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oinverse__class_Oinverse(X2,X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_226]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3622,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 150.45/150.95      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 150.45/150.95      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | X1 = X2 ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3621]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_224,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 150.45/150.95      | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2353_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3617,plain,
% 150.45/150.95      ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 150.45/150.95      | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_224]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3618,plain,
% 150.45/150.95      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 150.45/150.95      | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3617]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_222,plain,
% 150.45/150.95      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2354_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3613,plain,
% 150.45/150.95      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_222]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3614,plain,
% 150.45/150.95      ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3613]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_220,plain,
% 150.45/150.95      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2355_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3609,plain,
% 150.45/150.95      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_220]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3610,plain,
% 150.45/150.95      ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3609]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_218,plain,
% 150.45/150.95      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2356_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3605,plain,
% 150.45/150.95      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_218]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3606,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.95      | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3605]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_208,plain,
% 150.45/150.95      ( X0 = X1
% 150.45/150.95      | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 150.45/150.95      | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2359_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3585,plain,
% 150.45/150.95      ( X0 = X1
% 150.45/150.95      | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 150.45/150.95      | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_208]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3586,plain,
% 150.45/150.95      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 150.45/150.95      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 150.45/150.95      | X1 = X2 ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3585]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_205,plain,
% 150.45/150.95      ( X0 = X1
% 150.45/150.95      | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 150.45/150.95      | ~ class_Lattices_Oboolean__algebra(X2) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2360_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3579,plain,
% 150.45/150.95      ( X0 = X1
% 150.45/150.95      | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 150.45/150.95      | ~ class_Lattices_Oboolean__algebra(X2) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_205]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3580,plain,
% 150.45/150.95      ( ~ class_Lattices_Oboolean__algebra(X0)
% 150.45/150.95      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 150.45/150.95      | X1 = X2 ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3579]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_202,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 150.45/150.95      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2361_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3573,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 150.45/150.95      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_202]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3574,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 150.45/150.95      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 150.45/150.95      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3573]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_200,plain,
% 150.45/150.95      ( ~ c_Parity_Oeven__odd__class_Oeven(c_Suc(X0),tc_nat)
% 150.45/150.95      | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2362_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3569,plain,
% 150.45/150.95      ( ~ c_Parity_Oeven__odd__class_Oeven(c_Suc(X0),tc_nat)
% 150.45/150.95      | ~ c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_200]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_188,plain,
% 150.45/150.95      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 150.45/150.95      | ~ class_Lattices_Oboolean__algebra(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2366_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3545,plain,
% 150.45/150.95      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 150.45/150.95      | ~ class_Lattices_Oboolean__algebra(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_188]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3546,plain,
% 150.45/150.95      ( ~ class_Lattices_Oboolean__algebra(X0)
% 150.45/150.95      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3545]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_182,plain,
% 150.45/150.95      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 150.45/150.95      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2369_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3533,plain,
% 150.45/150.95      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 150.45/150.95      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_182]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3534,plain,
% 150.45/150.95      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 150.45/150.95      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3533]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_180,plain,
% 150.45/150.95      ( c_Polynomial_Odegree(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2370_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3529,plain,
% 150.45/150.95      ( c_Polynomial_Odegree(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_180]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3530,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.95      | c_Polynomial_Odegree(c_HOL_Oone__class_Oone(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3529]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_178,plain,
% 150.45/150.95      ( c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.95      | ~ class_HOL_Ozero(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2371_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3525,plain,
% 150.45/150.95      ( c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_nat)
% 150.45/150.95      | ~ class_HOL_Ozero(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_178]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3526,plain,
% 150.45/150.95      ( ~ class_HOL_Ozero(X0)
% 150.45/150.95      | c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)),X0) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3525]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_175,plain,
% 150.45/150.95      ( c_HOL_Ozero__class_Ozero(X0) = X1
% 150.45/150.95      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2372_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3519,plain,
% 150.45/150.95      ( c_HOL_Ozero__class_Ozero(X0) = X1
% 150.45/150.95      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_175]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3520,plain,
% 150.45/150.95      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 150.45/150.95      | c_HOL_Ozero__class_Ozero(X0) = X1
% 150.45/150.95      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3519]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_172,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_HOL_Ouminus__class_Ouminus(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2373_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3513,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_HOL_Ouminus__class_Ouminus(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_172]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3514,plain,
% 150.45/150.95      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 150.45/150.95      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3513]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_169,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2374_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3507,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_169]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3508,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 150.45/150.95      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3507]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_160,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_HOL_Ouminus__class_Ouminus(X0,X1) != X0
% 150.45/150.95      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2377_2) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3489,plain,
% 150.45/150.95      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 150.45/150.95      | c_HOL_Ouminus__class_Ouminus(X0,X1) != X0
% 150.45/150.95      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_160]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3490,plain,
% 150.45/150.95      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 150.45/150.95      | c_HOL_Ouminus__class_Ouminus(X1,X0) != X1
% 150.45/150.95      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3489]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_158,plain,
% 150.45/150.95      ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.95      | c_Parity_Oeven__odd__class_Oeven(c_Suc(X0),tc_nat) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2378_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3485,plain,
% 150.45/150.95      ( c_Parity_Oeven__odd__class_Oeven(X0,tc_nat)
% 150.45/150.95      | c_Parity_Oeven__odd__class_Oeven(c_Suc(X0),tc_nat) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_158]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3486,plain,
% 150.45/150.95      ( c_Parity_Oeven__odd__class_Oeven(c_Suc(X0),tc_nat)
% 150.45/150.95      | c_Parity_Oeven__odd__class_Oeven(X0,tc_nat) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3485]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_154,plain,
% 150.45/150.95      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2380_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3477,plain,
% 150.45/150.95      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_154]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3478,plain,
% 150.45/150.95      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 150.45/150.95      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3477]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_152,plain,
% 150.45/150.95      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2381_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3473,plain,
% 150.45/150.95      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_152]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3474,plain,
% 150.45/150.95      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 150.45/150.95      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3473]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_150,plain,
% 150.45/150.95      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2382_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3469,plain,
% 150.45/150.95      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_150]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3470,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 150.45/150.95      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3469]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_148,plain,
% 150.45/150.95      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2383_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3465,plain,
% 150.45/150.95      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_148]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3466,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 150.45/150.95      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3465]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_144,plain,
% 150.45/150.95      ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2385_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3457,plain,
% 150.45/150.95      ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 150.45/150.95      | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_144]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3458,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 150.45/150.95      | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3457]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_142,plain,
% 150.45/150.95      ( class_HOL_Ozero(tc_Polynomial_Opoly(X0)) | ~ class_HOL_Ozero(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2386_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3453,plain,
% 150.45/150.95      ( class_HOL_Ozero(tc_Polynomial_Opoly(X0)) | ~ class_HOL_Ozero(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_142]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_140,plain,
% 150.45/150.95      ( class_Power_Opower(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2387_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3449,plain,
% 150.45/150.95      ( class_Power_Opower(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_140]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3450,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.95      | class_Power_Opower(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3449]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_138,plain,
% 150.45/150.95      ( class_Int_Onumber__ring(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2388_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3445,plain,
% 150.45/150.95      ( class_Int_Onumber__ring(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_138]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3446,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 150.45/150.95      | class_Int_Onumber__ring(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3445]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_136,plain,
% 150.45/150.95      ( class_Orderings_Oorder(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2389_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3441,plain,
% 150.45/150.95      ( class_Orderings_Oorder(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_136]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_134,plain,
% 150.45/150.95      ( class_Orderings_Olinorder(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2390_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3437,plain,
% 150.45/150.95      ( class_Orderings_Olinorder(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_134]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_132,plain,
% 150.45/150.95      ( class_Orderings_Opreorder(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2391_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3433,plain,
% 150.45/150.95      ( class_Orderings_Opreorder(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_132]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_130,plain,
% 150.45/150.95      ( class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2392_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3429,plain,
% 150.45/150.95      ( class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_130]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3430,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.95      | class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3429]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_128,plain,
% 150.45/150.95      ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oidom(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2393_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3425,plain,
% 150.45/150.95      ( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oidom(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_128]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_126,plain,
% 150.45/150.95      ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2394_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3421,plain,
% 150.45/150.95      ( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_126]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3422,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 150.45/150.95      | class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3421]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_124,plain,
% 150.45/150.95      ( class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2395_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3417,plain,
% 150.45/150.95      ( class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_124]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3418,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 150.45/150.95      | class_Ring__and__Field_Oring__1(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3417]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_122,plain,
% 150.45/150.95      ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2396_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3413,plain,
% 150.45/150.95      ( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_122]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3414,plain,
% 150.45/150.95      ( ~ class_OrderedGroup_Oab__group__add(X0)
% 150.45/150.95      | class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3413]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_120,plain,
% 150.45/150.95      ( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2397_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3409,plain,
% 150.45/150.95      ( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_120]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3410,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.95      | class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3409]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_118,plain,
% 150.45/150.95      ( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2398_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3405,plain,
% 150.45/150.95      ( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_118]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_116,plain,
% 150.45/150.95      ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2399_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3401,plain,
% 150.45/150.95      ( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_116]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3402,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 150.45/150.95      | class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3401]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_114,plain,
% 150.45/150.95      ( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2400_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3397,plain,
% 150.45/150.95      ( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_114]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_112,plain,
% 150.45/150.95      ( class_Ring__and__Field_Osemiring__0(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2401_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3393,plain,
% 150.45/150.95      ( class_Ring__and__Field_Osemiring__0(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_112]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3394,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 150.45/150.95      | class_Ring__and__Field_Osemiring__0(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3393]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_110,plain,
% 150.45/150.95      ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2402_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3389,plain,
% 150.45/150.95      ( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_110]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_108,plain,
% 150.45/150.95      ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2403_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3385,plain,
% 150.45/150.95      ( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_108]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_106,plain,
% 150.45/150.95      ( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2404_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3381,plain,
% 150.45/150.95      ( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_106]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3382,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.95      | class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3381]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_104,plain,
% 150.45/150.95      ( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2405_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3377,plain,
% 150.45/150.95      ( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_104]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3378,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.95      | class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3377]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_102,plain,
% 150.45/150.95      ( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2406_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3373,plain,
% 150.45/150.95      ( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_102]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3374,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 150.45/150.95      | class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3373]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_100,plain,
% 150.45/150.95      ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2407_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3369,plain,
% 150.45/150.95      ( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_100]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3370,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 150.45/150.95      | class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3369]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_98,plain,
% 150.45/150.95      ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2408_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3365,plain,
% 150.45/150.95      ( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_98]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_96,plain,
% 150.45/150.95      ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2409_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3361,plain,
% 150.45/150.95      ( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_96]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_94,plain,
% 150.45/150.95      ( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2410_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3357,plain,
% 150.45/150.95      ( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_94]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_92,plain,
% 150.45/150.95      ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oidom(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2411_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3353,plain,
% 150.45/150.95      ( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oidom(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_92]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_90,plain,
% 150.45/150.95      ( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2412_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3349,plain,
% 150.45/150.95      ( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_90]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_88,plain,
% 150.45/150.95      ( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2413_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3345,plain,
% 150.45/150.95      ( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_88]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_86,plain,
% 150.45/150.95      ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2414_1) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3341,plain,
% 150.45/150.95      ( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.95      inference(copy,[status(esa)],[c_86]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_3342,plain,
% 150.45/150.95      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.95      | class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.95      inference(rewriting,[status(thm)],[c_3341]) ).
% 150.45/150.95  
% 150.45/150.95  cnf(c_84,plain,
% 150.45/150.95      ( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 150.45/150.95      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2415_1) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3337,plain,
% 150.45/150.96      ( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(X0))
% 150.45/150.96      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_84]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3338,plain,
% 150.45/150.96      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.96      | class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.96      inference(rewriting,[status(thm)],[c_3337]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_82,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X0))
% 150.45/150.96      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2416_1) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3333,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X0))
% 150.45/150.96      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_82]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3334,plain,
% 150.45/150.96      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 150.45/150.96      | class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X0)) ),
% 150.45/150.96      inference(rewriting,[status(thm)],[c_3333]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_80,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 150.45/150.96      | ~ class_Ring__and__Field_Oidom(X0) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2417_1) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3329,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 150.45/150.96      | ~ class_Ring__and__Field_Oidom(X0) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_80]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_78,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(X0))
% 150.45/150.96      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2418_1) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3325,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(X0))
% 150.45/150.96      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_78]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_76,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 150.45/150.96      | ~ class_Ring__and__Field_Oidom(X0) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2419_1) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3321,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X0))
% 150.45/150.96      | ~ class_Ring__and__Field_Oidom(X0) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_76]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_74,plain,
% 150.45/150.96      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(X0))
% 150.45/150.96      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2420_1) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3317,plain,
% 150.45/150.96      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(X0))
% 150.45/150.96      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_74]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_72,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(X0))
% 150.45/150.96      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2421_1) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3313,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(X0))
% 150.45/150.96      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_72]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_70,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X0))
% 150.45/150.96      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2422_1) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3309,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X0))
% 150.45/150.96      | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_70]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_68,plain,
% 150.45/150.96      ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X0))
% 150.45/150.96      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2423_1) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3305,plain,
% 150.45/150.96      ( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X0))
% 150.45/150.96      | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_68]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_64,plain,
% 150.45/150.96      ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2426_1) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3297,plain,
% 150.45/150.96      ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_64]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3298,plain,
% 150.45/150.96      ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 150.45/150.96      inference(rewriting,[status(thm)],[c_3297]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_63,plain,
% 150.45/150.96      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Suc(c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_pa____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_1989_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3295,plain,
% 150.45/150.96      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Suc(c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex)),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_pa____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_63]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_62,plain,
% 150.45/150.96      ( c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2326_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3293,plain,
% 150.45/150.96      ( c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_62]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_61,plain,
% 150.45/150.96      ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____ ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2427_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3291,plain,
% 150.45/150.96      ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____ ),
% 150.45/150.96      inference(copy,[status(esa)],[c_61]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_60,plain,
% 150.45/150.96      ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_qa____ ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2428_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3289,plain,
% 150.45/150.96      ( c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_qa____ ),
% 150.45/150.96      inference(copy,[status(esa)],[c_60]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_56,plain,
% 150.45/150.96      ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2432_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3281,plain,
% 150.45/150.96      ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_56]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_54,plain,
% 150.45/150.96      ( c_Suc(X0) != X0 ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2434_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3277,plain,( c_Suc(X0) != X0 ),inference(copy,[status(esa)],[c_54]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_53,plain,
% 150.45/150.96      ( c_HOL_Ozero__class_Ozero(tc_nat) != v_na____ ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2435_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3275,plain,
% 150.45/150.96      ( c_HOL_Ozero__class_Ozero(tc_nat) != v_na____ ),
% 150.45/150.96      inference(copy,[status(esa)],[c_53]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_51,plain,
% 150.45/150.96      ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_pa____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_1994_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3271,plain,
% 150.45/150.96      ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(v_a____,tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_Polynomial_Oorder(v_a____,v_pa____,tc_Complex_Ocomplex),tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_pa____,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_51]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_49,plain,
% 150.45/150.96      ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2424_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3268,plain,
% 150.45/150.96      ( c_Parity_Oeven__odd__class_Oeven(c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_49]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_48,plain,
% 150.45/150.96      ( class_HOL_Ozero(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2436_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3266,plain,
% 150.45/150.96      ( class_HOL_Ozero(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_48]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_47,plain,
% 150.45/150.96      ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2437_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3264,plain,
% 150.45/150.96      ( class_Power_Opower(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_47]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_46,plain,
% 150.45/150.96      ( class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2438_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3262,plain,
% 150.45/150.96      ( class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_46]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_45,plain,
% 150.45/150.96      ( class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2439_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3260,plain,
% 150.45/150.96      ( class_Ring__and__Field_Odvd(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_45]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_44,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2440_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3258,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_44]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_43,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2441_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3256,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_43]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_42,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2442_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3254,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_42]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_41,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2443_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3252,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oring__1(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_41]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_40,plain,
% 150.45/150.96      ( class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2444_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3250,plain,
% 150.45/150.96      ( class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_40]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_39,plain,
% 150.45/150.96      ( class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2445_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3248,plain,
% 150.45/150.96      ( class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_39]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_38,plain,
% 150.45/150.96      ( class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2446_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3246,plain,
% 150.45/150.96      ( class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_38]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_37,plain,
% 150.45/150.96      ( class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2447_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3244,plain,
% 150.45/150.96      ( class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_37]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_36,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2448_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3242,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_36]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_35,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2449_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3240,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_35]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_34,plain,
% 150.45/150.96      ( class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2450_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3238,plain,
% 150.45/150.96      ( class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_34]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_33,plain,
% 150.45/150.96      ( class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2451_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3236,plain,
% 150.45/150.96      ( class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_33]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_32,plain,
% 150.45/150.96      ( class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2452_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3234,plain,
% 150.45/150.96      ( class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_32]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_31,plain,
% 150.45/150.96      ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2453_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3232,plain,
% 150.45/150.96      ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_31]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_30,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2454_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3230,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_30]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_29,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2455_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3228,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_29]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_28,plain,
% 150.45/150.96      ( class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2456_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3226,plain,
% 150.45/150.96      ( class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_28]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_27,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2457_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3224,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_27]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_26,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2458_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3222,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_26]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_25,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2459_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3220,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_25]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_24,plain,
% 150.45/150.96      ( class_HOL_Ozero(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2460_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3218,plain,
% 150.45/150.96      ( class_HOL_Ozero(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_24]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_23,plain,
% 150.45/150.96      ( class_Power_Opower(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2461_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3216,plain,
% 150.45/150.96      ( class_Power_Opower(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_23]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_22,plain,
% 150.45/150.96      ( class_Orderings_Oorder(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2462_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3214,plain,
% 150.45/150.96      ( class_Orderings_Oorder(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_22]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_21,plain,
% 150.45/150.96      ( class_Orderings_Olinorder(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2463_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3212,plain,
% 150.45/150.96      ( class_Orderings_Olinorder(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_21]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_20,plain,
% 150.45/150.96      ( class_Orderings_Opreorder(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2464_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3210,plain,
% 150.45/150.96      ( class_Orderings_Opreorder(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_20]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_19,plain,
% 150.45/150.96      ( class_Ring__and__Field_Odvd(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2465_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3208,plain,
% 150.45/150.96      ( class_Ring__and__Field_Odvd(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_19]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_18,plain,
% 150.45/150.96      ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2466_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3206,plain,
% 150.45/150.96      ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_18]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_17,plain,
% 150.45/150.96      ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2467_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3204,plain,
% 150.45/150.96      ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_17]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_16,plain,
% 150.45/150.96      ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2468_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3202,plain,
% 150.45/150.96      ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_16]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_15,plain,
% 150.45/150.96      ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2469_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3200,plain,
% 150.45/150.96      ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_15]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_14,plain,
% 150.45/150.96      ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2470_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3198,plain,
% 150.45/150.96      ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_14]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_13,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2471_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3196,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_13]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_12,plain,
% 150.45/150.96      ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2472_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3194,plain,
% 150.45/150.96      ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_12]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_11,plain,
% 150.45/150.96      ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2473_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3192,plain,
% 150.45/150.96      ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_11]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_10,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2474_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3190,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_10]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_9,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2475_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3188,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_9]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_8,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2476_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3186,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_8]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_7,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2477_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3184,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_7]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_6,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2478_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3182,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_6]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_5,plain,
% 150.45/150.96      ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2479_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3180,plain,
% 150.45/150.96      ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_5]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_4,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2480_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3178,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_4]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3,plain,
% 150.45/150.96      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2481_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3176,plain,
% 150.45/150.96      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_3]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_2,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2482_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3174,plain,
% 150.45/150.96      ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_2]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_1,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2483_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3172,plain,
% 150.45/150.96      ( class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_1]) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_0,plain,
% 150.45/150.96      ( class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
% 150.45/150.96      file('/export/starexec/sandbox2/tmp/iprover_modulo_45e970.p', c_0_2484_0) ).
% 150.45/150.96  
% 150.45/150.96  cnf(c_3170,plain,
% 150.45/150.96      ( class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
% 150.45/150.96      inference(copy,[status(esa)],[c_0]) ).
% 150.45/150.96  
% 150.45/150.96  
% 150.45/150.96  
% 150.45/150.96  % ------                             Statistics
% 150.45/150.96  
% 150.45/150.96  % ------ General
% 150.45/150.96  
% 150.45/150.96  % num_of_input_clauses:                 1414
% 150.45/150.96  % num_of_input_neg_conjectures:         2
% 150.45/150.96  % num_of_splits:                        0
% 150.45/150.96  % num_of_split_atoms:                   0
% 150.45/150.96  % num_of_sem_filtered_clauses:          0
% 150.45/150.96  % num_of_subtypes:                      0
% 150.45/150.96  % monotx_restored_types:                0
% 150.45/150.96  % sat_num_of_epr_types:                 0
% 150.45/150.96  % sat_num_of_non_cyclic_types:          0
% 150.45/150.96  % sat_guarded_non_collapsed_types:      0
% 150.45/150.96  % is_epr:                               0
% 150.45/150.96  % is_horn:                              0
% 150.45/150.96  % has_eq:                               1
% 150.45/150.96  % num_pure_diseq_elim:                  0
% 150.45/150.96  % simp_replaced_by:                     0
% 150.45/150.96  % res_preprocessed:                     2
% 150.45/150.96  % prep_upred:                           0
% 150.45/150.96  % prep_unflattend:                      0
% 150.45/150.96  % pred_elim_cands:                      0
% 150.45/150.96  % pred_elim:                            0
% 150.45/150.96  % pred_elim_cl:                         0
% 150.45/150.96  % pred_elim_cycles:                     0
% 150.45/150.96  % forced_gc_time:                       0
% 150.45/150.96  % gc_basic_clause_elim:                 0
% 150.45/150.96  % parsing_time:                         0.076
% 150.45/150.96  % sem_filter_time:                      0.
% 150.45/150.96  % pred_elim_time:                       0.
% 150.45/150.96  % out_proof_time:                       0.
% 150.45/150.96  % monotx_time:                          0.
% 150.45/150.96  % subtype_inf_time:                     0.
% 150.45/150.96  % unif_index_cands_time:                0.
% 150.45/150.96  % unif_index_add_time:                  0.
% 150.45/150.96  % total_time:                           0.339
% 150.45/150.96  % num_of_symbols:                       96
% 150.45/150.96  % num_of_terms:                         2041
% 150.45/150.96  
% 150.45/150.96  % ------ Propositional Solver
% 150.45/150.96  
% 150.45/150.96  % prop_solver_calls:                    1
% 150.45/150.96  % prop_fast_solver_calls:               3
% 150.45/150.96  % prop_num_of_clauses:                  1173
% 150.45/150.96  % prop_preprocess_simplified:           4373
% 150.45/150.96  % prop_fo_subsumed:                     0
% 150.45/150.96  % prop_solver_time:                     0.
% 150.45/150.96  % prop_fast_solver_time:                0.
% 150.45/150.96  % prop_unsat_core_time:                 0.
% 150.45/150.96  
% 150.45/150.96  % ------ QBF 
% 150.45/150.96  
% 150.45/150.96  % qbf_q_res:                            0
% 150.45/150.96  % qbf_num_tautologies:                  0
% 150.45/150.96  % qbf_prep_cycles:                      0
% 150.45/150.96  
% 150.45/150.96  % ------ BMC1
% 150.45/150.96  
% 150.45/150.96  % bmc1_current_bound:                   -1
% 150.45/150.96  % bmc1_last_solved_bound:               -1
% 150.45/150.96  % bmc1_unsat_core_size:                 -1
% 150.45/150.96  % bmc1_unsat_core_parents_size:         -1
% 150.45/150.96  % bmc1_merge_next_fun:                  0
% 150.45/150.96  % bmc1_unsat_core_clauses_time:         0.
% 150.45/150.96  
% 150.45/150.96  % ------ Instantiation
% 150.45/150.96  
% 150.45/150.96  % inst_num_of_clauses:                  1285
% 150.45/150.96  % inst_num_in_passive:                  0
% 150.45/150.96  % inst_num_in_active:                   0
% 150.45/150.96  % inst_num_in_unprocessed:              1415
% 150.45/150.96  % inst_num_of_loops:                    0
% 150.45/150.96  % inst_num_of_learning_restarts:        0
% 150.45/150.96  % inst_num_moves_active_passive:        0
% 150.45/150.96  % inst_lit_activity:                    0
% 150.45/150.96  % inst_lit_activity_moves:              0
% 150.45/150.96  % inst_num_tautologies:                 0
% 150.45/150.96  % inst_num_prop_implied:                0
% 150.45/150.96  % inst_num_existing_simplified:         0
% 150.45/150.96  % inst_num_eq_res_simplified:           0
% 150.45/150.96  % inst_num_child_elim:                  0
% 150.45/150.96  % inst_num_of_dismatching_blockings:    0
% 150.45/150.96  % inst_num_of_non_proper_insts:         0
% 150.45/150.96  % inst_num_of_duplicates:               0
% 150.45/150.96  % inst_inst_num_from_inst_to_res:       0
% 150.45/150.96  % inst_dismatching_checking_time:       0.
% 150.45/150.96  
% 150.45/150.96  % ------ Resolution
% 150.45/150.96  
% 150.45/150.96  % res_num_of_clauses:                   1400
% 150.45/150.96  % res_num_in_passive:                   0
% 150.45/150.96  % res_num_in_active:                    491
% 150.45/150.96  % res_num_of_loops:                     3
% 150.45/150.96  % res_forward_subset_subsumed:          923
% 150.45/150.96  % res_backward_subset_subsumed:         0
% 150.45/150.96  % res_forward_subsumed:                 0
% 150.45/150.96  % res_backward_subsumed:                0
% 150.45/150.96  % res_forward_subsumption_resolution:   0
% 150.45/150.96  % res_backward_subsumption_resolution:  1
% 150.45/150.96  % res_clause_to_clause_subsumption:     1
% 150.45/150.96  % res_orphan_elimination:               0
% 150.45/150.96  % res_tautology_del:                    0
% 150.45/150.96  % res_num_eq_res_simplified:            0
% 150.45/150.96  % res_num_sel_changes:                  0
% 150.45/150.96  % res_moves_from_active_to_pass:        0
% 150.45/150.96  
% 150.45/150.96  % Status Unknown
% 150.45/150.96  % Last status :
% 150.45/150.96  % SZS status Unknown
%------------------------------------------------------------------------------