TSTP Solution File: SWV595-1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SWV595-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n024.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 : Wed Jul 20 19:20:29 EDT 2022

% Result   : Unknown 2.20s 2.43s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV595-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command  : iprover_modulo %s %d
% 0.12/0.33  % Computer : n024.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 : Thu Jun 16 00:42:33 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_be3b90.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_314be4.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_9e9cfa | grep -v "SZS"
% 0.19/0.49  
% 0.19/0.49  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.49  
% 0.19/0.49  % 
% 0.19/0.49  % ------  iProver source info 
% 0.19/0.49  
% 0.19/0.49  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.49  % git: non_committed_changes: true
% 0.19/0.49  % git: last_make_outside_of_git: true
% 0.19/0.49  
% 0.19/0.49  % 
% 0.19/0.49  % ------ Input Options
% 0.19/0.49  
% 0.19/0.49  % --out_options                         all
% 0.19/0.49  % --tptp_safe_out                       true
% 0.19/0.49  % --problem_path                        ""
% 0.19/0.49  % --include_path                        ""
% 0.19/0.49  % --clausifier                          .//eprover
% 0.19/0.49  % --clausifier_options                  --tstp-format  
% 0.19/0.49  % --stdin                               false
% 0.19/0.49  % --dbg_backtrace                       false
% 0.19/0.49  % --dbg_dump_prop_clauses               false
% 0.19/0.49  % --dbg_dump_prop_clauses_file          -
% 0.19/0.49  % --dbg_out_stat                        false
% 0.19/0.49  
% 0.19/0.49  % ------ General Options
% 0.19/0.49  
% 0.19/0.49  % --fof                                 false
% 0.19/0.49  % --time_out_real                       150.
% 0.19/0.49  % --time_out_prep_mult                  0.2
% 0.19/0.49  % --time_out_virtual                    -1.
% 0.19/0.49  % --schedule                            none
% 0.19/0.49  % --ground_splitting                    input
% 0.19/0.49  % --splitting_nvd                       16
% 0.19/0.49  % --non_eq_to_eq                        false
% 0.19/0.49  % --prep_gs_sim                         true
% 0.19/0.49  % --prep_unflatten                      false
% 0.19/0.49  % --prep_res_sim                        true
% 0.19/0.49  % --prep_upred                          true
% 0.19/0.49  % --res_sim_input                       true
% 0.19/0.49  % --clause_weak_htbl                    true
% 0.19/0.49  % --gc_record_bc_elim                   false
% 0.19/0.49  % --symbol_type_check                   false
% 0.19/0.49  % --clausify_out                        false
% 0.19/0.49  % --large_theory_mode                   false
% 0.19/0.49  % --prep_sem_filter                     none
% 0.19/0.49  % --prep_sem_filter_out                 false
% 0.19/0.49  % --preprocessed_out                    false
% 0.19/0.49  % --sub_typing                          false
% 0.19/0.49  % --brand_transform                     false
% 0.19/0.49  % --pure_diseq_elim                     true
% 0.19/0.49  % --min_unsat_core                      false
% 0.19/0.49  % --pred_elim                           true
% 0.19/0.49  % --add_important_lit                   false
% 0.19/0.49  % --soft_assumptions                    false
% 0.19/0.49  % --reset_solvers                       false
% 0.19/0.49  % --bc_imp_inh                          []
% 0.19/0.49  % --conj_cone_tolerance                 1.5
% 0.19/0.49  % --prolific_symb_bound                 500
% 0.19/0.49  % --lt_threshold                        2000
% 0.19/0.49  
% 0.19/0.49  % ------ SAT Options
% 0.19/0.49  
% 0.19/0.49  % --sat_mode                            false
% 0.19/0.49  % --sat_fm_restart_options              ""
% 0.19/0.49  % --sat_gr_def                          false
% 0.19/0.49  % --sat_epr_types                       true
% 0.19/0.49  % --sat_non_cyclic_types                false
% 0.19/0.49  % --sat_finite_models                   false
% 0.19/0.49  % --sat_fm_lemmas                       false
% 0.19/0.49  % --sat_fm_prep                         false
% 0.19/0.49  % --sat_fm_uc_incr                      true
% 0.19/0.49  % --sat_out_model                       small
% 0.19/0.49  % --sat_out_clauses                     false
% 0.19/0.49  
% 0.19/0.49  % ------ QBF Options
% 0.19/0.49  
% 0.19/0.49  % --qbf_mode                            false
% 0.19/0.49  % --qbf_elim_univ                       true
% 0.19/0.49  % --qbf_sk_in                           true
% 0.19/0.49  % --qbf_pred_elim                       true
% 0.19/0.49  % --qbf_split                           32
% 0.19/0.49  
% 0.19/0.49  % ------ BMC1 Options
% 0.19/0.49  
% 0.19/0.49  % --bmc1_incremental                    false
% 0.19/0.49  % --bmc1_axioms                         reachable_all
% 0.19/0.49  % --bmc1_min_bound                      0
% 0.19/0.49  % --bmc1_max_bound                      -1
% 0.19/0.49  % --bmc1_max_bound_default              -1
% 0.19/0.49  % --bmc1_symbol_reachability            true
% 0.19/0.49  % --bmc1_property_lemmas                false
% 0.19/0.49  % --bmc1_k_induction                    false
% 0.19/0.49  % --bmc1_non_equiv_states               false
% 0.19/0.49  % --bmc1_deadlock                       false
% 0.19/0.49  % --bmc1_ucm                            false
% 0.19/0.49  % --bmc1_add_unsat_core                 none
% 0.19/0.49  % --bmc1_unsat_core_children            false
% 0.19/0.49  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.19/0.49  % --bmc1_out_stat                       full
% 0.19/0.49  % --bmc1_ground_init                    false
% 0.19/0.49  % --bmc1_pre_inst_next_state            false
% 0.19/0.49  % --bmc1_pre_inst_state                 false
% 0.19/0.49  % --bmc1_pre_inst_reach_state           false
% 0.19/0.49  % --bmc1_out_unsat_core                 false
% 0.19/0.49  % --bmc1_aig_witness_out                false
% 0.19/0.49  % --bmc1_verbose                        false
% 0.19/0.49  % --bmc1_dump_clauses_tptp              false
% 1.27/1.64  % --bmc1_dump_unsat_core_tptp           false
% 1.27/1.64  % --bmc1_dump_file                      -
% 1.27/1.64  % --bmc1_ucm_expand_uc_limit            128
% 1.27/1.64  % --bmc1_ucm_n_expand_iterations        6
% 1.27/1.64  % --bmc1_ucm_extend_mode                1
% 1.27/1.64  % --bmc1_ucm_init_mode                  2
% 1.27/1.64  % --bmc1_ucm_cone_mode                  none
% 1.27/1.64  % --bmc1_ucm_reduced_relation_type      0
% 1.27/1.64  % --bmc1_ucm_relax_model                4
% 1.27/1.64  % --bmc1_ucm_full_tr_after_sat          true
% 1.27/1.64  % --bmc1_ucm_expand_neg_assumptions     false
% 1.27/1.64  % --bmc1_ucm_layered_model              none
% 1.27/1.64  % --bmc1_ucm_max_lemma_size             10
% 1.27/1.64  
% 1.27/1.64  % ------ AIG Options
% 1.27/1.64  
% 1.27/1.64  % --aig_mode                            false
% 1.27/1.64  
% 1.27/1.64  % ------ Instantiation Options
% 1.27/1.64  
% 1.27/1.64  % --instantiation_flag                  true
% 1.27/1.64  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 1.27/1.64  % --inst_solver_per_active              750
% 1.27/1.64  % --inst_solver_calls_frac              0.5
% 1.27/1.64  % --inst_passive_queue_type             priority_queues
% 1.27/1.64  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 1.27/1.64  % --inst_passive_queues_freq            [25;2]
% 1.27/1.64  % --inst_dismatching                    true
% 1.27/1.64  % --inst_eager_unprocessed_to_passive   true
% 1.27/1.64  % --inst_prop_sim_given                 true
% 1.27/1.64  % --inst_prop_sim_new                   false
% 1.27/1.64  % --inst_orphan_elimination             true
% 1.27/1.64  % --inst_learning_loop_flag             true
% 1.27/1.64  % --inst_learning_start                 3000
% 1.27/1.64  % --inst_learning_factor                2
% 1.27/1.64  % --inst_start_prop_sim_after_learn     3
% 1.27/1.64  % --inst_sel_renew                      solver
% 1.27/1.64  % --inst_lit_activity_flag              true
% 1.27/1.64  % --inst_out_proof                      true
% 1.27/1.64  
% 1.27/1.64  % ------ Resolution Options
% 1.27/1.64  
% 1.27/1.64  % --resolution_flag                     true
% 1.27/1.64  % --res_lit_sel                         kbo_max
% 1.27/1.64  % --res_to_prop_solver                  none
% 1.27/1.64  % --res_prop_simpl_new                  false
% 1.27/1.64  % --res_prop_simpl_given                false
% 1.27/1.64  % --res_passive_queue_type              priority_queues
% 1.27/1.64  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.27/1.64  % --res_passive_queues_freq             [15;5]
% 1.27/1.64  % --res_forward_subs                    full
% 1.27/1.64  % --res_backward_subs                   full
% 1.27/1.64  % --res_forward_subs_resolution         true
% 1.27/1.64  % --res_backward_subs_resolution        true
% 1.27/1.64  % --res_orphan_elimination              false
% 1.27/1.64  % --res_time_limit                      1000.
% 1.27/1.64  % --res_out_proof                       true
% 1.27/1.64  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_be3b90.s
% 1.27/1.64  % --modulo                              true
% 1.27/1.64  
% 1.27/1.64  % ------ Combination Options
% 1.27/1.64  
% 1.27/1.64  % --comb_res_mult                       1000
% 1.27/1.64  % --comb_inst_mult                      300
% 1.27/1.64  % ------ 
% 1.27/1.64  
% 1.27/1.64  % ------ Parsing...% successful
% 1.27/1.64  
% 1.27/1.64  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 1.27/1.64  
% 1.27/1.64  % ------ Proving...
% 1.27/1.64  % ------ Problem Properties 
% 1.27/1.64  
% 1.27/1.64  % 
% 1.27/1.64  % EPR                                   false
% 1.27/1.64  % Horn                                  false
% 1.27/1.64  % Has equality                          true
% 1.27/1.64  
% 1.27/1.64  % % ------ Input Options Time Limit: Unbounded
% 1.27/1.64  
% 1.27/1.64  
% 1.27/1.64  Compiling...
% 1.27/1.64  Loading plugin: done.
% 1.27/1.64  Compiling...
% 1.27/1.64  Loading plugin: done.
% 1.27/1.64  Compiling...
% 1.27/1.64  Loading plugin: done.
% 1.27/1.64  Compiling...
% 1.27/1.64  Loading plugin: done.
% 1.27/1.64  Compiling...
% 1.27/1.64  Loading plugin: done.
% 1.27/1.64  Compiling...
% 1.27/1.64  Loading plugin: done.
% 1.27/1.64  Compiling...
% 1.27/1.64  Loading plugin: done.
% 1.27/1.64  Compiling...
% 1.27/1.64  Loading plugin: done.
% 1.27/1.64  Compiling...
% 1.27/1.64  Loading plugin: done.
% 1.27/1.64  Compiling...
% 1.27/1.64  Loading plugin: done.
% 1.27/1.64  % % ------ Current options:
% 1.27/1.64  
% 1.27/1.64  % ------ Input Options
% 1.27/1.64  
% 1.27/1.64  % --out_options                         all
% 1.27/1.64  % --tptp_safe_out                       true
% 1.27/1.64  % --problem_path                        ""
% 1.27/1.64  % --include_path                        ""
% 1.27/1.64  % --clausifier                          .//eprover
% 1.27/1.64  % --clausifier_options                  --tstp-format  
% 1.27/1.64  % --stdin                               false
% 1.27/1.64  % --dbg_backtrace                       false
% 1.27/1.64  % --dbg_dump_prop_clauses               false
% 1.27/1.64  % --dbg_dump_prop_clauses_file          -
% 1.27/1.64  % --dbg_out_stat                        false
% 1.27/1.64  
% 1.27/1.64  % ------ General Options
% 1.27/1.64  
% 1.27/1.64  % --fof                                 false
% 1.27/1.64  % --time_out_real                       150.
% 1.27/1.64  % --time_out_prep_mult                  0.2
% 1.27/1.64  % --time_out_virtual                    -1.
% 1.27/1.64  % --schedule                            none
% 1.27/1.64  % --ground_splitting                    input
% 1.27/1.64  % --splitting_nvd                       16
% 1.27/1.64  % --non_eq_to_eq                        false
% 1.27/1.64  % --prep_gs_sim                         true
% 1.27/1.64  % --prep_unflatten                      false
% 1.27/1.64  % --prep_res_sim                        true
% 1.27/1.64  % --prep_upred                          true
% 1.27/1.64  % --res_sim_input                       true
% 1.27/1.64  % --clause_weak_htbl                    true
% 1.27/1.64  % --gc_record_bc_elim                   false
% 1.27/1.64  % --symbol_type_check                   false
% 1.27/1.64  % --clausify_out                        false
% 1.27/1.64  % --large_theory_mode                   false
% 1.27/1.64  % --prep_sem_filter                     none
% 1.27/1.64  % --prep_sem_filter_out                 false
% 1.27/1.64  % --preprocessed_out                    false
% 1.27/1.64  % --sub_typing                          false
% 1.27/1.64  % --brand_transform                     false
% 1.27/1.64  % --pure_diseq_elim                     true
% 1.27/1.64  % --min_unsat_core                      false
% 1.27/1.64  % --pred_elim                           true
% 1.27/1.64  % --add_important_lit                   false
% 1.27/1.64  % --soft_assumptions                    false
% 1.27/1.64  % --reset_solvers                       false
% 1.27/1.64  % --bc_imp_inh                          []
% 1.27/1.64  % --conj_cone_tolerance                 1.5
% 1.27/1.64  % --prolific_symb_bound                 500
% 1.27/1.64  % --lt_threshold                        2000
% 1.27/1.64  
% 1.27/1.64  % ------ SAT Options
% 1.27/1.64  
% 1.27/1.64  % --sat_mode                            false
% 1.27/1.64  % --sat_fm_restart_options              ""
% 1.27/1.64  % --sat_gr_def                          false
% 1.27/1.64  % --sat_epr_types                       true
% 1.27/1.64  % --sat_non_cyclic_types                false
% 1.27/1.64  % --sat_finite_models                   false
% 1.27/1.64  % --sat_fm_lemmas                       false
% 1.27/1.64  % --sat_fm_prep                         false
% 1.27/1.64  % --sat_fm_uc_incr                      true
% 1.27/1.64  % --sat_out_model                       small
% 1.27/1.64  % --sat_out_clauses                     false
% 1.27/1.64  
% 1.27/1.64  % ------ QBF Options
% 1.27/1.64  
% 1.27/1.64  % --qbf_mode                            false
% 1.27/1.64  % --qbf_elim_univ                       true
% 1.27/1.64  % --qbf_sk_in                           true
% 1.27/1.64  % --qbf_pred_elim                       true
% 1.27/1.64  % --qbf_split                           32
% 1.27/1.64  
% 1.27/1.64  % ------ BMC1 Options
% 1.27/1.64  
% 1.27/1.64  % --bmc1_incremental                    false
% 1.27/1.64  % --bmc1_axioms                         reachable_all
% 1.27/1.64  % --bmc1_min_bound                      0
% 1.27/1.64  % --bmc1_max_bound                      -1
% 1.27/1.64  % --bmc1_max_bound_default              -1
% 1.27/1.64  % --bmc1_symbol_reachability            true
% 1.27/1.64  % --bmc1_property_lemmas                false
% 1.27/1.64  % --bmc1_k_induction                    false
% 1.27/1.64  % --bmc1_non_equiv_states               false
% 1.27/1.64  % --bmc1_deadlock                       false
% 1.27/1.64  % --bmc1_ucm                            false
% 1.27/1.64  % --bmc1_add_unsat_core                 none
% 1.27/1.64  % --bmc1_unsat_core_children            false
% 1.27/1.64  % --bmc1_unsat_core_extrapolate_axioms  false
% 1.27/1.64  % --bmc1_out_stat                       full
% 1.27/1.64  % --bmc1_ground_init                    false
% 1.27/1.64  % --bmc1_pre_inst_next_state            false
% 1.27/1.64  % --bmc1_pre_inst_state                 false
% 1.27/1.64  % --bmc1_pre_inst_reach_state           false
% 1.27/1.64  % --bmc1_out_unsat_core                 false
% 1.27/1.64  % --bmc1_aig_witness_out                false
% 1.27/1.64  % --bmc1_verbose                        false
% 1.27/1.64  % --bmc1_dump_clauses_tptp              false
% 1.27/1.64  % --bmc1_dump_unsat_core_tptp           false
% 1.27/1.64  % --bmc1_dump_file                      -
% 1.27/1.64  % --bmc1_ucm_expand_uc_limit            128
% 1.27/1.64  % --bmc1_ucm_n_expand_iterations        6
% 1.27/1.64  % --bmc1_ucm_extend_mode                1
% 1.27/1.64  % --bmc1_ucm_init_mode                  2
% 1.27/1.64  % --bmc1_ucm_cone_mode                  none
% 1.27/1.64  % --bmc1_ucm_reduced_relation_type      0
% 1.27/1.64  % --bmc1_ucm_relax_model                4
% 1.27/1.64  % --bmc1_ucm_full_tr_after_sat          true
% 1.27/1.64  % --bmc1_ucm_expand_neg_assumptions     false
% 1.27/1.64  % --bmc1_ucm_layered_model              none
% 1.27/1.64  % --bmc1_ucm_max_lemma_size             10
% 1.27/1.64  
% 1.27/1.64  % ------ AIG Options
% 1.27/1.64  
% 1.27/1.64  % --aig_mode                            false
% 1.27/1.64  
% 1.27/1.64  % ------ Instantiation Options
% 1.27/1.64  
% 1.27/1.64  % --instantiation_flag                  true
% 1.27/1.64  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 1.27/1.64  % --inst_solver_per_active              750
% 1.27/1.64  % --inst_solver_calls_frac              0.5
% 1.27/1.64  % --inst_passive_queue_type             priority_queues
% 1.27/1.64  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 1.27/1.64  % --inst_passive_queues_freq            [25;2]
% 1.27/1.64  % --inst_dismatching                    true
% 1.27/1.64  % --inst_eager_unprocessed_to_passive   true
% 1.27/1.64  % --inst_prop_sim_given                 true
% 1.27/1.64  % --inst_prop_sim_new                   false
% 1.27/1.64  % --inst_orphan_elimination             true
% 1.27/1.64  % --inst_learning_loop_flag             true
% 1.27/1.64  % --inst_learning_start                 3000
% 1.27/1.64  % --inst_learning_factor                2
% 1.27/1.64  % --inst_start_prop_sim_after_learn     3
% 1.27/1.64  % --inst_sel_renew                      solver
% 1.27/1.64  % --inst_lit_activity_flag              true
% 1.27/1.64  % --inst_out_proof                      true
% 1.27/1.64  
% 1.27/1.64  % ------ Resolution Options
% 1.27/1.64  
% 1.27/1.64  % --resolution_flag                     true
% 1.27/1.64  % --res_lit_sel                         kbo_max
% 1.27/1.64  % --res_to_prop_solver                  none
% 1.27/1.64  % --res_prop_simpl_new                  false
% 1.27/1.64  % --res_prop_simpl_given                false
% 1.27/1.64  % --res_passive_queue_type              priority_queues
% 1.27/1.64  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.27/1.64  % --res_passive_queues_freq             [15;5]
% 1.27/1.64  % --res_forward_subs                    full
% 1.27/1.64  % --res_backward_subs                   full
% 1.27/1.64  % --res_forward_subs_resolution         true
% 1.27/1.64  % --res_backward_subs_resolution        true
% 1.27/1.64  % --res_orphan_elimination              false
% 1.27/1.64  % --res_time_limit                      1000.
% 1.27/1.64  % --res_out_proof                       true
% 1.27/1.64  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_be3b90.s
% 1.27/1.64  % --modulo                              true
% 1.27/1.64  
% 1.27/1.64  % ------ Combination Options
% 1.27/1.64  
% 1.27/1.64  % --comb_res_mult                       1000
% 1.27/1.64  % --comb_inst_mult                      300
% 1.27/1.64  % ------ 
% 1.27/1.64  
% 1.27/1.64  
% 1.27/1.64  
% 1.27/1.64  % ------ Proving...
% 1.27/1.64  % warning:  shown sat in sat incomplete mode 
% 1.27/1.64  % 
% 1.27/1.64  
% 1.27/1.64  
% 1.27/1.64  
% 1.27/1.64  
% 1.27/1.64  cnf(c_1105,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 1.27/1.64      | ~ c_Int_Oiszero(X1,X0)
% 1.27/1.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1961_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_5004,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 1.27/1.64      | ~ c_Int_Oiszero(X1,X0)
% 1.27/1.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_1105]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_5005,plain,
% 1.27/1.64      ( ~ c_Int_Oiszero(X0,X1)
% 1.27/1.64      | ~ class_Ring__and__Field_Osemiring__1(X1)
% 1.27/1.64      | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_5004]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_1096,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1958_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4986,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_1096]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4987,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4986]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_1093,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1957_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4980,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_1093]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4981,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4980]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_1053,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 1.27/1.64      | X1 = c_HOL_Oone__class_Oone(X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1942_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4900,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 1.27/1.64      | X1 = c_HOL_Oone__class_Oone(X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_1053]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4901,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 1.27/1.64      | X1 = c_HOL_Oone__class_Oone(X0) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4900]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_1049,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1941_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4892,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_1049]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4893,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4892]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_1031,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1935_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4856,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 1.27/1.64      inference(copy,[status(esa)],[c_1031]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4857,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4856]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_1023,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 1.27/1.64      | X1 = X2 ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1932_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4840,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 1.27/1.64      | X1 = X2 ),
% 1.27/1.64      inference(copy,[status(esa)],[c_1023]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4841,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 1.27/1.64      | X1 = X2 ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4840]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_1000,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 1.27/1.64      | X1 = X2
% 1.27/1.64      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1922_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4794,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 1.27/1.64      | X1 = X2
% 1.27/1.64      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_1000]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4795,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 1.27/1.64      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.64      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.64      | X1 = X2 ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4794]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_923,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.27/1.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1886_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4640,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.27/1.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_923]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4641,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.27/1.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4640]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_914,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1883_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4622,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_914]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4623,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4622]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_905,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1879_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4604,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_905]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4605,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4604]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_879,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1869_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4552,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_879]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4553,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.64      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4552]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_876,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | 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) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1868_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4546,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | 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) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_876]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4547,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.64      | 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) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4546]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_860,plain,
% 1.27/1.64      ( c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 1.27/1.64      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 1.27/1.64      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1862_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4514,plain,
% 1.27/1.64      ( c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 1.27/1.64      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 1.27/1.64      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_860]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4515,plain,
% 1.27/1.64      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 1.27/1.64      | c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 1.27/1.64      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4514]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_852,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.64      | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Oabs__class_Oabs(X2,X0)
% 1.27/1.64      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1859_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4498,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.64      | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Oabs__class_Oabs(X2,X0)
% 1.27/1.64      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_852]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4499,plain,
% 1.27/1.64      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.27/1.64      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 1.27/1.64      | c_HOL_Oabs__class_Oabs(X0,X2) != c_HOL_Oabs__class_Oabs(X1,X2) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4498]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_840,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.64      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1855_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4474,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.64      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_840]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4475,plain,
% 1.27/1.64      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4474]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_803,plain,
% 1.27/1.64      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.64      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.64      | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1842_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4400,plain,
% 1.27/1.64      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.64      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.64      | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 1.27/1.64      inference(copy,[status(esa)],[c_803]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4401,plain,
% 1.27/1.64      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.64      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.64      | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4400]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_795,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Omult__zero(X0)
% 1.27/1.64      | ~ class_Power_Opower(X0)
% 1.27/1.64      | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1840_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4384,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Omult__zero(X0)
% 1.27/1.64      | ~ class_Power_Opower(X0)
% 1.27/1.64      | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_795]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4385,plain,
% 1.27/1.64      ( ~ class_Power_Opower(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Omult__zero(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 1.27/1.64      | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4384]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_790,plain,
% 1.27/1.64      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.64      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.64      | c_HOL_Ouminus__class_Ouminus(X1,X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1838_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4374,plain,
% 1.27/1.64      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.64      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.64      | c_HOL_Ouminus__class_Ouminus(X1,X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_790]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4375,plain,
% 1.27/1.64      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.27/1.64      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
% 1.27/1.64      | c_HOL_Ouminus__class_Ouminus(X0,X1) = c_HOL_Oabs__class_Oabs(X0,X1) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4374]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_787,plain,
% 1.27/1.64      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.64      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1837_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4368,plain,
% 1.27/1.64      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.64      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_787]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4369,plain,
% 1.27/1.64      ( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X0,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.64      | ~ class_RealVector_Oreal__normed__vector(X1)
% 1.27/1.64      | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4368]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_778,plain,
% 1.27/1.64      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.64      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1833_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4350,plain,
% 1.27/1.64      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.64      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.64      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_778]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4351,plain,
% 1.27/1.64      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.27/1.64      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
% 1.27/1.64      | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4350]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_736,plain,
% 1.27/1.64      ( X0 = X1
% 1.27/1.64      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 1.27/1.64      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1812_2) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4266,plain,
% 1.27/1.64      ( X0 = X1
% 1.27/1.64      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 1.27/1.64      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_736]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4267,plain,
% 1.27/1.64      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 1.27/1.64      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
% 1.27/1.64      | X0 = X1 ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4266]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_694,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1798_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4182,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_694]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4183,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4182]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_684,plain,
% 1.27/1.64      ( ~ class_Orderings_Oorder(X0)
% 1.27/1.64      | X1 = X2
% 1.27/1.64      | ~ c_lessequals(X2,X1,X0)
% 1.27/1.64      | ~ c_lessequals(X1,X2,X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1795_2) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4162,plain,
% 1.27/1.64      ( ~ class_Orderings_Oorder(X0)
% 1.27/1.64      | X1 = X2
% 1.27/1.64      | ~ c_lessequals(X2,X1,X0)
% 1.27/1.64      | ~ c_lessequals(X1,X2,X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_684]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4163,plain,
% 1.27/1.64      ( ~ c_lessequals(X0,X1,X2)
% 1.27/1.64      | ~ c_lessequals(X1,X0,X2)
% 1.27/1.64      | ~ class_Orderings_Oorder(X2)
% 1.27/1.64      | X1 = X0 ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4162]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_682,plain,
% 1.27/1.64      ( ~ class_Orderings_Oorder(X0)
% 1.27/1.64      | ~ c_lessequals(X1,X2,X0)
% 1.27/1.64      | ~ c_lessequals(X2,X1,X0)
% 1.27/1.64      | X1 = X2 ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1795_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4158,plain,
% 1.27/1.64      ( ~ class_Orderings_Oorder(X0)
% 1.27/1.64      | ~ c_lessequals(X1,X2,X0)
% 1.27/1.64      | ~ c_lessequals(X2,X1,X0)
% 1.27/1.64      | X1 = X2 ),
% 1.27/1.64      inference(copy,[status(esa)],[c_682]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4159,plain,
% 1.27/1.64      ( ~ c_lessequals(X0,X1,X2)
% 1.27/1.64      | ~ c_lessequals(X1,X0,X2)
% 1.27/1.64      | ~ class_Orderings_Oorder(X2)
% 1.27/1.64      | X0 = X1 ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4158]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_674,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
% 1.27/1.64      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1793_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4142,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
% 1.27/1.64      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_674]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4143,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
% 1.27/1.64      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4142]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_666,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 1.27/1.64      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1791_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4126,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 1.27/1.64      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_666]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4127,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 1.27/1.64      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4126]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_663,plain,
% 1.27/1.64      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.27/1.64      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.64      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1790_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4120,plain,
% 1.27/1.64      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.27/1.64      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.64      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_663]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4121,plain,
% 1.27/1.64      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.64      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 1.27/1.64      | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4120]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_660,plain,
% 1.27/1.64      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.27/1.64      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.64      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1789_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4114,plain,
% 1.27/1.64      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.27/1.64      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.64      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_660]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4115,plain,
% 1.27/1.64      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.27/1.64      | c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 1.27/1.64      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4114]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_657,plain,
% 1.27/1.64      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.27/1.64      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.64      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1788_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4108,plain,
% 1.27/1.64      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.27/1.64      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.64      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_657]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4109,plain,
% 1.27/1.64      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.64      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 1.27/1.64      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4108]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_654,plain,
% 1.27/1.64      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.27/1.64      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.64      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1787_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4102,plain,
% 1.27/1.64      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.27/1.64      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.64      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_654]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4103,plain,
% 1.27/1.64      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.27/1.64      | c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 1.27/1.64      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4102]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_641,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.64      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 1.27/1.64      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1783_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4076,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.64      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 1.27/1.64      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_641]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4077,plain,
% 1.27/1.64      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 1.27/1.64      | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.27/1.64      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4076]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_638,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.64      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 1.27/1.64      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1782_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4070,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.64      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 1.27/1.64      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_638]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4071,plain,
% 1.27/1.64      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 1.27/1.64      | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 1.27/1.64      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4070]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_635,plain,
% 1.27/1.64      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.64      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 1.27/1.64      | c_lessequals(X1,X2,X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1781_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4064,plain,
% 1.27/1.64      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.64      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 1.27/1.64      | c_lessequals(X1,X2,X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_635]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4065,plain,
% 1.27/1.64      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 1.27/1.64      | c_lessequals(X0,X2,X1)
% 1.27/1.64      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4064]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_632,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.27/1.64      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 1.27/1.64      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1780_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4058,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.27/1.64      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 1.27/1.64      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_632]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4059,plain,
% 1.27/1.64      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 1.27/1.64      | c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 1.27/1.64      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4058]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_629,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.27/1.64      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.27/1.64      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1779_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4052,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.27/1.64      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.27/1.64      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_629]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4053,plain,
% 1.27/1.64      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 1.27/1.64      | c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.27/1.64      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4052]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_626,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1778_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4046,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_626]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4047,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4046]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_620,plain,
% 1.27/1.64      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.27/1.64      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.64      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1776_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4034,plain,
% 1.27/1.64      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.27/1.64      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.64      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_620]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4035,plain,
% 1.27/1.64      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.64      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.64      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4034]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_614,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1774_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4022,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_614]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_4023,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.64      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_4022]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_592,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.27/1.64      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1767_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_3978,plain,
% 1.27/1.64      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.27/1.64      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_592]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_3979,plain,
% 1.27/1.64      ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.27/1.64      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.64      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.27/1.64      inference(rewriting,[status(thm)],[c_3978]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_574,plain,
% 1.27/1.64      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.27/1.64      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.27/1.64      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.64      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1762_0) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_3942,plain,
% 1.27/1.64      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.27/1.64      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.27/1.64      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.64      inference(copy,[status(esa)],[c_574]) ).
% 1.27/1.64  
% 1.27/1.64  cnf(c_3943,plain,
% 1.27/1.64      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.27/1.64      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3942]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_539,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1746_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3872,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_539]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3873,plain,
% 1.27/1.65      ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3872]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_535,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1745_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3864,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_535]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3865,plain,
% 1.27/1.65      ( ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.27/1.65      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3864]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_531,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1744_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3856,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_531]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3857,plain,
% 1.27/1.65      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3856]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_519,plain,
% 1.27/1.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.27/1.65      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.27/1.65      | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1740_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3832,plain,
% 1.27/1.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.27/1.65      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.27/1.65      | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_519]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3833,plain,
% 1.27/1.65      ( ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 1.27/1.65      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3832]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_513,plain,
% 1.27/1.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1738_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3820,plain,
% 1.27/1.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_513]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3821,plain,
% 1.27/1.65      ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 1.27/1.65      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 1.27/1.65      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3820]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_510,plain,
% 1.27/1.65      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1737_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3814,plain,
% 1.27/1.65      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_510]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3815,plain,
% 1.27/1.65      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 1.27/1.65      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 1.27/1.65      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3814]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_507,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1736_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3808,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_507]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3809,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3808]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_504,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | 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) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1735_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3802,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | 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) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_504]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3803,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.65      | 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) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3802]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_494,plain,
% 1.27/1.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.27/1.65      | c_lessequals(X2,X1,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1731_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3782,plain,
% 1.27/1.65      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.27/1.65      | c_lessequals(X2,X1,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_494]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3783,plain,
% 1.27/1.65      ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 1.27/1.65      | c_lessequals(X2,X0,X1)
% 1.27/1.65      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3782]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_479,plain,
% 1.27/1.65      ( ~ class_Orderings_Oorder(X0)
% 1.27/1.65      | ~ c_lessequals(X1,X2,X0)
% 1.27/1.65      | c_lessequals(X1,X3,X0)
% 1.27/1.65      | ~ c_lessequals(X2,X3,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1724_1) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3752,plain,
% 1.27/1.65      ( ~ class_Orderings_Oorder(X0)
% 1.27/1.65      | ~ c_lessequals(X1,X2,X0)
% 1.27/1.65      | c_lessequals(X1,X3,X0)
% 1.27/1.65      | ~ c_lessequals(X2,X3,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_479]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3753,plain,
% 1.27/1.65      ( ~ c_lessequals(X0,X1,X2)
% 1.27/1.65      | c_lessequals(X0,X3,X2)
% 1.27/1.65      | ~ c_lessequals(X1,X3,X2)
% 1.27/1.65      | ~ class_Orderings_Oorder(X2) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3752]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_478,plain,
% 1.27/1.65      ( ~ class_Orderings_Oorder(X0)
% 1.27/1.65      | ~ c_lessequals(X1,X2,X0)
% 1.27/1.65      | ~ c_lessequals(X2,X3,X0)
% 1.27/1.65      | c_lessequals(X1,X3,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1724_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3750,plain,
% 1.27/1.65      ( ~ class_Orderings_Oorder(X0)
% 1.27/1.65      | ~ c_lessequals(X1,X2,X0)
% 1.27/1.65      | ~ c_lessequals(X2,X3,X0)
% 1.27/1.65      | c_lessequals(X1,X3,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_478]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3751,plain,
% 1.27/1.65      ( ~ c_lessequals(X0,X1,X2)
% 1.27/1.65      | ~ c_lessequals(X1,X3,X2)
% 1.27/1.65      | c_lessequals(X0,X3,X2)
% 1.27/1.65      | ~ class_Orderings_Oorder(X2) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3750]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_475,plain,
% 1.27/1.65      ( ~ class_Orderings_Opreorder(X0)
% 1.27/1.65      | ~ c_lessequals(X1,X2,X0)
% 1.27/1.65      | c_lessequals(X3,X2,X0)
% 1.27/1.65      | ~ c_lessequals(X3,X1,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1723_1) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3744,plain,
% 1.27/1.65      ( ~ class_Orderings_Opreorder(X0)
% 1.27/1.65      | ~ c_lessequals(X1,X2,X0)
% 1.27/1.65      | c_lessequals(X3,X2,X0)
% 1.27/1.65      | ~ c_lessequals(X3,X1,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_475]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3745,plain,
% 1.27/1.65      ( ~ c_lessequals(X0,X1,X2)
% 1.27/1.65      | c_lessequals(X3,X1,X2)
% 1.27/1.65      | ~ c_lessequals(X3,X0,X2)
% 1.27/1.65      | ~ class_Orderings_Opreorder(X2) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3744]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_474,plain,
% 1.27/1.65      ( ~ class_Orderings_Opreorder(X0)
% 1.27/1.65      | ~ c_lessequals(X1,X2,X0)
% 1.27/1.65      | ~ c_lessequals(X3,X1,X0)
% 1.27/1.65      | c_lessequals(X3,X2,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1723_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3742,plain,
% 1.27/1.65      ( ~ class_Orderings_Opreorder(X0)
% 1.27/1.65      | ~ c_lessequals(X1,X2,X0)
% 1.27/1.65      | ~ c_lessequals(X3,X1,X0)
% 1.27/1.65      | c_lessequals(X3,X2,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_474]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3743,plain,
% 1.27/1.65      ( ~ c_lessequals(X0,X1,X2)
% 1.27/1.65      | ~ c_lessequals(X3,X0,X2)
% 1.27/1.65      | c_lessequals(X3,X1,X2)
% 1.27/1.65      | ~ class_Orderings_Opreorder(X2) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3742]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_471,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.65      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 1.27/1.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1722_1) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3736,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.65      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 1.27/1.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_471]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3737,plain,
% 1.27/1.65      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.27/1.65      | c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 1.27/1.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 1.27/1.65      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3736]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_470,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 1.27/1.65      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1722_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3734,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 1.27/1.65      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_470]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3735,plain,
% 1.27/1.65      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.27/1.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 1.27/1.65      | c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 1.27/1.65      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3734]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_464,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1720_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3722,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_464]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3723,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3722]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_461,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | 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) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1719_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3716,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | 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) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_461]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3717,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | 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) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3716]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_448,plain,
% 1.27/1.65      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.65      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X1,X0) = X2 ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1715_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3690,plain,
% 1.27/1.65      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.65      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X1,X0) = X2 ),
% 1.27/1.65      inference(copy,[status(esa)],[c_448]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3691,plain,
% 1.27/1.65      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.27/1.65      | ~ class_Divides_Osemiring__div(X2)
% 1.27/1.65      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X0,X2),X0,X2) = X1 ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3690]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_445,plain,
% 1.27/1.65      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.65      | c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = X2 ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1714_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3684,plain,
% 1.27/1.65      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.65      | c_HOL_Otimes__class_Otimes(X1,c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = X2 ),
% 1.27/1.65      inference(copy,[status(esa)],[c_445]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3685,plain,
% 1.27/1.65      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.27/1.65      | ~ class_Divides_Osemiring__div(X2)
% 1.27/1.65      | c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = X1 ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3684]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_424,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1707_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3642,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_424]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3643,plain,
% 1.27/1.65      ( c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3642]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_407,plain,
% 1.27/1.65      ( ~ class_Divides_Oring__div(X0)
% 1.27/1.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.65      | c_Divides_Odiv__class_Odiv(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1702_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3608,plain,
% 1.27/1.65      ( ~ class_Divides_Oring__div(X0)
% 1.27/1.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.65      | c_Divides_Odiv__class_Odiv(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_407]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3609,plain,
% 1.27/1.65      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.27/1.65      | ~ class_Divides_Oring__div(X2)
% 1.27/1.65      | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3608]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_404,plain,
% 1.27/1.65      ( ~ class_Divides_Oring__div(X0)
% 1.27/1.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.65      | c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1701_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3602,plain,
% 1.27/1.65      ( ~ class_Divides_Oring__div(X0)
% 1.27/1.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.65      | c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_404]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3603,plain,
% 1.27/1.65      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.27/1.65      | ~ class_Divides_Oring__div(X2)
% 1.27/1.65      | c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X1,X2),X0,X2) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3602]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_401,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 1.27/1.65      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.65      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1700_2) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3596,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 1.27/1.65      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.65      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_401]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3597,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) = c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 1.27/1.65      | c_HOL_Otimes__class_Otimes(X1,X4,X0) != c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 1.27/1.65      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.65      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3596]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_399,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 1.27/1.65      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.65      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1700_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3592,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 1.27/1.65      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.65      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_399]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3593,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) = c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 1.27/1.65      | c_HOL_Otimes__class_Otimes(X1,X4,X0) != c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 1.27/1.65      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.65      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3592]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_394,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 1.27/1.65      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.65      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.65      | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1699_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3582,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 1.27/1.65      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.65      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.65      | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_394]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3583,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 1.27/1.65      | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 1.27/1.65      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.65      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3582]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_380,plain,
% 1.27/1.65      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 1.27/1.65      | ~ c_lessequals(X1,X2,X0)
% 1.27/1.65      | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1694_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3554,plain,
% 1.27/1.65      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 1.27/1.65      | ~ c_lessequals(X1,X2,X0)
% 1.27/1.65      | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_380]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3555,plain,
% 1.27/1.65      ( c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 1.27/1.65      | ~ c_lessequals(X0,X2,X1)
% 1.27/1.65      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3554]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_375,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1692_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3544,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_375]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3545,plain,
% 1.27/1.65      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.65      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3544]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_372,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.27/1.65      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1691_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3538,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.27/1.65      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_372]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3539,plain,
% 1.27/1.65      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.27/1.65      | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.27/1.65      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3538]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_369,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.27/1.65      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1690_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3532,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.65      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.27/1.65      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_369]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3533,plain,
% 1.27/1.65      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.27/1.65      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 1.27/1.65      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3532]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_324,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1669_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3442,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_324]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3443,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3442]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_320,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.65      | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1668_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3434,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.65      | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_320]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3435,plain,
% 1.27/1.65      ( ~ c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.65      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__idom(X2)
% 1.27/1.65      | X0 = c_HOL_Ozero__class_Ozero(X2) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3434]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_316,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 1.27/1.65      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1667_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3426,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 1.27/1.65      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_316]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3427,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 1.27/1.65      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3426]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_312,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X3,X0)
% 1.27/1.65      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1666_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3418,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X3,X0)
% 1.27/1.65      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_312]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3419,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X3,X0)
% 1.27/1.65      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3418]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_309,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1665_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3412,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_309]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3413,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.65      | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3412]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_305,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1664_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3404,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_305]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3405,plain,
% 1.27/1.65      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3404]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_301,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1663_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3396,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_301]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3397,plain,
% 1.27/1.65      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3396]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_268,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1654_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3330,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_268]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3331,plain,
% 1.27/1.65      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.27/1.65      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3330]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_260,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1652_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3314,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_260]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3315,plain,
% 1.27/1.65      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3314]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_252,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.27/1.65      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1650_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3298,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.27/1.65      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_252]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3299,plain,
% 1.27/1.65      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.65      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3298]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_248,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1649_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3290,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_248]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3291,plain,
% 1.27/1.65      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3290]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_244,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1648_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3282,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_244]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3283,plain,
% 1.27/1.65      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.65      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3282]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_240,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1647_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3274,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_240]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3275,plain,
% 1.27/1.65      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3274]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_235,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1646_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3264,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_235]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3265,plain,
% 1.27/1.65      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.65      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3264]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_230,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1645_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3254,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_230]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3255,plain,
% 1.27/1.65      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3254]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_220,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1643_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3234,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_220]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3235,plain,
% 1.27/1.65      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.27/1.65      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3234]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_216,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.65      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1642_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3226,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.65      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_216]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3227,plain,
% 1.27/1.65      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.65      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3226]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_212,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1641_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3218,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_212]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3219,plain,
% 1.27/1.65      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3218]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_208,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.65      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1640_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3210,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.65      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_208]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3211,plain,
% 1.27/1.65      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3210]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_204,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1639_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3202,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_204]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3203,plain,
% 1.27/1.65      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3202]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_200,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1638_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3194,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_200]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3195,plain,
% 1.27/1.65      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.27/1.65      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3194]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_197,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1637_1) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3188,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_197]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3189,plain,
% 1.27/1.65      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3188]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_196,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1637_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3186,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_196]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3187,plain,
% 1.27/1.65      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3186]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_193,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1636_1) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3180,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_193]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3181,plain,
% 1.27/1.65      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.65      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3180]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_192,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1636_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3178,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_192]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3179,plain,
% 1.27/1.65      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.65      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3178]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_188,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.65      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1635_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3170,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.65      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_188]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3171,plain,
% 1.27/1.65      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3170]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_183,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.65      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1634_0) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3160,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.65      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_183]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3161,plain,
% 1.27/1.65      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.65      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3160]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_179,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1633_1) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3152,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.65      inference(copy,[status(esa)],[c_179]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_3153,plain,
% 1.27/1.65      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.65      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.27/1.65      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.27/1.65      inference(rewriting,[status(thm)],[c_3152]) ).
% 1.27/1.65  
% 1.27/1.65  cnf(c_178,plain,
% 1.27/1.65      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.65      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.65      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.65      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.65      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1633_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3150,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_178]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3151,plain,
% 1.27/1.66      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.66      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.66      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_3150]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_174,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1632_1) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3142,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_174]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3143,plain,
% 1.27/1.66      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_3142]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_173,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1632_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3140,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_173]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3141,plain,
% 1.27/1.66      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_3140]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_168,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1631_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3130,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_168]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3131,plain,
% 1.27/1.66      ( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.27/1.66      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_3130]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_163,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.66      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1630_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3120,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.66      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_163]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3121,plain,
% 1.27/1.66      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_3120]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_158,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.66      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1629_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3110,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.66      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_158]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3111,plain,
% 1.27/1.66      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_3110]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_153,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.66      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1628_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3100,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.66      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_153]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3101,plain,
% 1.27/1.66      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.66      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_3100]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_148,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.66      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1627_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3090,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.66      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_148]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3091,plain,
% 1.27/1.66      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.66      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.66      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_3090]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_145,plain,
% 1.27/1.66      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.66      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X3,X0) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X3,X0),X1,X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1626_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3084,plain,
% 1.27/1.66      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.66      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X2,X1,X0),X3,X0) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X3,X0),X1,X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_145]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3085,plain,
% 1.27/1.66      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.27/1.66      | ~ class_Divides_Osemiring__div(X2)
% 1.27/1.66      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X0,X2),X3,X2) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),X0,X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_3084]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_143,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.27/1.66      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1625_2) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3080,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.27/1.66      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_143]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3081,plain,
% 1.27/1.66      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.27/1.66      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_3080]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_141,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.66      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1625_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3076,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.66      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_141]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3077,plain,
% 1.27/1.66      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.27/1.66      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_3076]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_137,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.27/1.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.66      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1624_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3068,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.27/1.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.66      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_137]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3069,plain,
% 1.27/1.66      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.27/1.66      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_3068]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_133,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1623_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3060,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_133]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3061,plain,
% 1.27/1.66      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.27/1.66      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_3060]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_131,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.27/1.66      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1622_2) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3056,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.27/1.66      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_131]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3057,plain,
% 1.27/1.66      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.27/1.66      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.27/1.66      | ~ class_Ring__and__Field_Opordered__ring__abs(X1)
% 1.27/1.66      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_3056]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_129,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.27/1.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1622_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3052,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 1.27/1.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_129]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3053,plain,
% 1.27/1.66      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.27/1.66      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.27/1.66      | ~ class_Ring__and__Field_Opordered__ring__abs(X1)
% 1.27/1.66      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X0,X1),X1) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_3052]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_117,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1617_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3028,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_117]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3029,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.66      | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_3028]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_110,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 1.27/1.66      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1615_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3014,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 1.27/1.66      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_110]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3015,plain,
% 1.27/1.66      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_3014]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_105,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.66      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1614_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3004,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.66      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_105]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_3005,plain,
% 1.27/1.66      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.27/1.66      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_3004]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_100,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.66      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1613_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2994,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.66      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_100]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2995,plain,
% 1.27/1.66      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.27/1.66      | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_2994]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_96,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(X1,X2,X0)
% 1.27/1.66      | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1612_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2986,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(X1,X2,X0)
% 1.27/1.66      | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_96]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2987,plain,
% 1.27/1.66      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 1.27/1.66      | ~ c_lessequals(X1,X3,X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_2986]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_92,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(X2,X3,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1611_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2978,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(X2,X3,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_92]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2979,plain,
% 1.27/1.66      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.27/1.66      | ~ c_lessequals(X1,X3,X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_2978]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_88,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Omult__mono(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(X2,X3,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1610_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2970,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Omult__mono(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(X2,X3,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_88]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2971,plain,
% 1.27/1.66      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.27/1.66      | ~ c_lessequals(X1,X3,X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_2970]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_84,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Omult__mono(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(X2,X3,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1609_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2962,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Omult__mono(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(X2,X3,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_84]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2963,plain,
% 1.27/1.66      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.27/1.66      | ~ c_lessequals(X0,X3,X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_2962]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_80,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.27/1.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | ~ c_lessequals(X2,X3,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1608_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2954,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.27/1.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | ~ c_lessequals(X2,X3,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_80]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2955,plain,
% 1.27/1.66      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.27/1.66      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.66      | ~ c_lessequals(X3,X1,X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_2954]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_76,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.27/1.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | ~ c_lessequals(X2,X3,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1607_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2946,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.27/1.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | ~ c_lessequals(X2,X3,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_76]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2947,plain,
% 1.27/1.66      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.27/1.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.66      | ~ c_lessequals(X3,X0,X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_2946]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_71,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(X2,X3,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1606_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2936,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(X2,X3,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_71]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2937,plain,
% 1.27/1.66      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.27/1.66      | ~ c_lessequals(X0,X3,X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_2936]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_66,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | ~ c_lessequals(X2,X3,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1605_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2926,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.66      | ~ c_lessequals(X2,X3,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X1,X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_66]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2927,plain,
% 1.27/1.66      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 1.27/1.66      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.66      | ~ c_lessequals(X3,X0,X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_2926]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_62,plain,
% 1.27/1.66      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.66      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X0),c_HOL_Otimes__class_Otimes(X2,c_RealVector_Onorm__class_Onorm(X3,X0),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.66      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.66      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1604_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2918,plain,
% 1.27/1.66      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.66      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X0),c_HOL_Otimes__class_Otimes(X2,c_RealVector_Onorm__class_Onorm(X3,X0),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.66      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.66      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_62]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2919,plain,
% 1.27/1.66      ( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X0,X1),c_HOL_Otimes__class_Otimes(X2,c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.66      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.66      | ~ class_RealVector_Oreal__normed__vector(X1)
% 1.27/1.66      | X0 = c_HOL_Ozero__class_Ozero(X1) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_2918]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_58,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oidom(X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.27/1.66      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 1.27/1.66      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1603_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2910,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oidom(X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.27/1.66      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 1.27/1.66      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_58]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2911,plain,
% 1.27/1.66      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.27/1.66      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Oidom(X2)
% 1.27/1.66      | X0 = c_HOL_Ozero__class_Ozero(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_2910]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_54,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oidom(X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 1.27/1.66      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.27/1.66      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1602_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2902,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Oidom(X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 1.27/1.66      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.27/1.66      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_54]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2903,plain,
% 1.27/1.66      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.27/1.66      | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Oidom(X2)
% 1.27/1.66      | X1 = c_HOL_Ozero__class_Ozero(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_2902]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_47,plain,
% 1.27/1.66      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.66      | c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X2,X1,X0),X3,X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1599_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2888,plain,
% 1.27/1.66      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.66      | c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X2,X1,X0),X3,X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_47]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2889,plain,
% 1.27/1.66      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.27/1.66      | ~ class_Divides_Osemiring__div(X2)
% 1.27/1.66      | c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X1,X3,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X1,X0,X2),X3,X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_2888]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_44,plain,
% 1.27/1.66      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.66      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1598_2) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2882,plain,
% 1.27/1.66      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.66      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_44]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2883,plain,
% 1.27/1.66      ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 1.27/1.66      | ~ class_Divides_Osemiring__div(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_2882]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_42,plain,
% 1.27/1.66      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 1.27/1.66      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1598_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2878,plain,
% 1.27/1.66      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 1.27/1.66      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_42]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2879,plain,
% 1.27/1.66      ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 1.27/1.66      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 1.27/1.66      | ~ class_Divides_Osemiring__div(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_2878]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_37,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X3,X0),c_HOL_Oinverse__class_Odivide(X2,X4,X0),X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1596_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2868,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X3,X0),c_HOL_Oinverse__class_Odivide(X2,X4,X0),X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_37]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2869,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.66      | ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.66      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X3,X0),c_HOL_Oinverse__class_Odivide(X2,X4,X0),X0) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_2868]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_35,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.27/1.66      | ~ c_lessequals(X1,X3,X0)
% 1.27/1.66      | ~ c_lessequals(X2,X4,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1595_4) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2864,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.27/1.66      | ~ c_lessequals(X1,X3,X0)
% 1.27/1.66      | ~ c_lessequals(X2,X4,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_35]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2865,plain,
% 1.27/1.66      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.27/1.66      | ~ c_lessequals(X0,X3,X2)
% 1.27/1.66      | ~ c_lessequals(X1,X4,X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_2864]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_33,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.27/1.66      | ~ c_lessequals(X2,X3,X0)
% 1.27/1.66      | ~ c_lessequals(X1,X4,X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1595_2) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2860,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.27/1.66      | ~ c_lessequals(X2,X3,X0)
% 1.27/1.66      | ~ c_lessequals(X1,X4,X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_33]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2861,plain,
% 1.27/1.66      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.27/1.66      | ~ c_lessequals(X0,X3,X2)
% 1.27/1.66      | ~ c_lessequals(X1,X4,X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_2860]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_31,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.66      | ~ c_lessequals(X1,X3,X0)
% 1.27/1.66      | ~ c_lessequals(X2,X4,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1595_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2856,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.66      | ~ c_lessequals(X1,X3,X0)
% 1.27/1.66      | ~ c_lessequals(X2,X4,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_31]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2857,plain,
% 1.27/1.66      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.27/1.66      | ~ c_lessequals(X1,X4,X2)
% 1.27/1.66      | ~ c_lessequals(X0,X3,X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_2856]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_29,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.27/1.66      | ~ c_lessequals(X1,X3,X0)
% 1.27/1.66      | ~ c_lessequals(X2,X4,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1594_4) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2852,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.27/1.66      | ~ c_lessequals(X1,X3,X0)
% 1.27/1.66      | ~ c_lessequals(X2,X4,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_29]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2853,plain,
% 1.27/1.66      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.27/1.66      | ~ c_lessequals(X0,X3,X2)
% 1.27/1.66      | ~ c_lessequals(X1,X4,X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_2852]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_27,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 1.27/1.66      | ~ c_lessequals(X3,X2,X0)
% 1.27/1.66      | ~ c_lessequals(X1,X4,X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1594_2) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2848,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 1.27/1.66      | ~ c_lessequals(X3,X2,X0)
% 1.27/1.66      | ~ c_lessequals(X1,X4,X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_27]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2849,plain,
% 1.27/1.66      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 1.27/1.66      | ~ c_lessequals(X0,X3,X2)
% 1.27/1.66      | ~ c_lessequals(X1,X4,X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_2848]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_25,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.66      | ~ c_lessequals(X1,X3,X0)
% 1.27/1.66      | ~ c_lessequals(X4,X2,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 1.27/1.66      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1594_0) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2844,plain,
% 1.27/1.66      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.66      | ~ c_lessequals(X1,X3,X0)
% 1.27/1.66      | ~ c_lessequals(X4,X2,X0)
% 1.27/1.66      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 1.27/1.66      inference(copy,[status(esa)],[c_25]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_2845,plain,
% 1.27/1.66      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.27/1.66      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 1.27/1.66      | ~ c_lessequals(X1,X4,X2)
% 1.27/1.66      | ~ c_lessequals(X0,X3,X2)
% 1.27/1.66      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 1.27/1.66      inference(rewriting,[status(thm)],[c_2844]) ).
% 1.27/1.66  
% 1.27/1.66  cnf(c_18,plain,
% 1.27/1.67      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 1.27/1.67      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1591_2) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_2830,plain,
% 1.27/1.67      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 1.27/1.67      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_18]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_2831,plain,
% 1.27/1.67      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 1.27/1.67      | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 1.27/1.67      | ~ class_Divides_Osemiring__div(X2) ),
% 1.27/1.67      inference(rewriting,[status(thm)],[c_2830]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_17,plain,
% 1.27/1.67      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 1.27/1.67      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1591_1) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_2828,plain,
% 1.27/1.67      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 1.27/1.67      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_17]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_2829,plain,
% 1.27/1.67      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 1.27/1.67      | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 1.27/1.67      | ~ class_Divides_Osemiring__div(X2) ),
% 1.27/1.67      inference(rewriting,[status(thm)],[c_2828]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_16,plain,
% 1.27/1.67      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 1.27/1.67      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1591_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_2826,plain,
% 1.27/1.67      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 1.27/1.67      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_16]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_2827,plain,
% 1.27/1.67      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 1.27/1.67      | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.27/1.67      | ~ class_Divides_Osemiring__div(X2) ),
% 1.27/1.67      inference(rewriting,[status(thm)],[c_2826]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_14,plain,
% 1.27/1.67      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X4,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1590_2) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_2822,plain,
% 1.27/1.67      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X4,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_14]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_2823,plain,
% 1.27/1.67      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)
% 1.27/1.67      | ~ class_Divides_Osemiring__div(X2)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X0,X2),c_Divides_Odiv__class_Odiv(X4,X3,X2),X2) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) ),
% 1.27/1.67      inference(rewriting,[status(thm)],[c_2822]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_12,plain,
% 1.27/1.67      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X4,X3,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X4,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1590_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_2818,plain,
% 1.27/1.67      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X4,X3,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X4,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_12]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_2819,plain,
% 1.27/1.67      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.27/1.67      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)
% 1.27/1.67      | ~ class_Divides_Osemiring__div(X2)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X4,X3,X2),c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X4,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2) ),
% 1.27/1.67      inference(rewriting,[status(thm)],[c_2818]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_6,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.67      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.27/1.67      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.67      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1589_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_2806,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.67      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 1.27/1.67      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.67      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_6]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_2807,plain,
% 1.27/1.67      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 1.27/1.67      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 1.27/1.67      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 1.27/1.67      | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.27/1.67      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.27/1.67      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.27/1.67      inference(rewriting,[status(thm)],[c_2806]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_0,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.67      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.67      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.27/1.67      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0)
% 1.27/1.67      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1588_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_2794,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.67      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.67      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.67      | ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 1.27/1.67      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0)
% 1.27/1.67      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_0]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_2795,plain,
% 1.27/1.67      ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2)
% 1.27/1.67      | c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 1.27/1.67      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 1.27/1.67      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.67      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.27/1.67      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.27/1.67      inference(rewriting,[status(thm)],[c_2794]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1232,negated_conjecture,
% 1.27/1.67      ( c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_4) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1554,negated_conjecture,
% 1.27/1.67      ( c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1232]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1558,negated_conjecture,
% 1.27/1.67      ( c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1554]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1559,negated_conjecture,
% 1.27/1.67      ( c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1558]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1560,negated_conjecture,
% 1.27/1.67      ( c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1559]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5239,negated_conjecture,
% 1.27/1.67      ( c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1560]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1230,plain,
% 1.27/1.67      ( c_Log_Opowr(c_Log_Opowr(X0,X1),X2) = c_Log_Opowr(c_Log_Opowr(X0,X2),X1) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_313_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5236,plain,
% 1.27/1.67      ( c_Log_Opowr(c_Log_Opowr(X0,X1),X2) = c_Log_Opowr(c_Log_Opowr(X0,X2),X1) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1230]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1228,plain,
% 1.27/1.67      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X0,X1),tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_315_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5233,plain,
% 1.27/1.67      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X0,X1),tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1228]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1227,plain,
% 1.27/1.67      ( c_Log_Opowr(X0,X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_316_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5231,plain,
% 1.27/1.67      ( c_Log_Opowr(X0,X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1227]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1225,plain,
% 1.27/1.67      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_318_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5228,plain,
% 1.27/1.67      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1225]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1223,plain,
% 1.27/1.67      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_320_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5225,plain,
% 1.27/1.67      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1223]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1221,plain,
% 1.27/1.67      ( c_lessequals(c_Transcendental_Ocos(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_322_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5222,plain,
% 1.27/1.67      ( c_lessequals(c_Transcendental_Ocos(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1221]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1220,plain,
% 1.27/1.67      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X0),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_323_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5220,plain,
% 1.27/1.67      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X0),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1220]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1217,plain,
% 1.27/1.67      ( c_lessequals(X0,X0,tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_326_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5216,plain,
% 1.27/1.67      ( c_lessequals(X0,X0,tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1217]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1213,plain,
% 1.27/1.67      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Osin(X0),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_330_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5211,plain,
% 1.27/1.67      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Osin(X0),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1213]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1211,plain,
% 1.27/1.67      ( c_lessequals(c_Transcendental_Osin(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_332_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5208,plain,
% 1.27/1.67      ( c_lessequals(c_Transcendental_Osin(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1211]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1210,plain,
% 1.27/1.67      ( class_Power_Opower(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_333_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5206,plain,
% 1.27/1.67      ( class_Power_Opower(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1210]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1209,plain,
% 1.27/1.67      ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_334_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5204,plain,
% 1.27/1.67      ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1209]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1208,plain,
% 1.27/1.67      ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_335_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5202,plain,
% 1.27/1.67      ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1208]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1207,plain,
% 1.27/1.67      ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_336_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5200,plain,
% 1.27/1.67      ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1207]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1206,plain,
% 1.27/1.67      ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_337_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5198,plain,
% 1.27/1.67      ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1206]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1205,plain,
% 1.27/1.67      ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_338_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5196,plain,
% 1.27/1.67      ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1205]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1204,plain,
% 1.27/1.67      ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_339_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5194,plain,
% 1.27/1.67      ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1204]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1203,plain,
% 1.27/1.67      ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_340_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5192,plain,
% 1.27/1.67      ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1203]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1202,plain,
% 1.27/1.67      ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_341_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5190,plain,
% 1.27/1.67      ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1202]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1201,plain,
% 1.27/1.67      ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_342_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5188,plain,
% 1.27/1.67      ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1201]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1200,plain,
% 1.27/1.67      ( class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_343_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5186,plain,
% 1.27/1.67      ( class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1200]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1199,plain,
% 1.27/1.67      ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_344_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5184,plain,
% 1.27/1.67      ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1199]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1198,plain,
% 1.27/1.67      ( class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_345_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5182,plain,
% 1.27/1.67      ( class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1198]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1197,plain,
% 1.27/1.67      ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_346_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5180,plain,
% 1.27/1.67      ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1197]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1196,plain,
% 1.27/1.67      ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_347_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5178,plain,
% 1.27/1.67      ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1196]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1195,plain,
% 1.27/1.67      ( class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_348_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5176,plain,
% 1.27/1.67      ( class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1195]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1194,plain,
% 1.27/1.67      ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_349_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5174,plain,
% 1.27/1.67      ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1194]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1193,plain,
% 1.27/1.67      ( class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_350_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5172,plain,
% 1.27/1.67      ( class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1193]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1192,plain,
% 1.27/1.67      ( class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_351_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5170,plain,
% 1.27/1.67      ( class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1192]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1191,plain,
% 1.27/1.67      ( class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_352_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5168,plain,
% 1.27/1.67      ( class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1191]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1190,plain,
% 1.27/1.67      ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_353_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5166,plain,
% 1.27/1.67      ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1190]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1189,plain,
% 1.27/1.67      ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_354_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5164,plain,
% 1.27/1.67      ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1189]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1188,plain,
% 1.27/1.67      ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_355_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5162,plain,
% 1.27/1.67      ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1188]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1187,plain,
% 1.27/1.67      ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_356_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5160,plain,
% 1.27/1.67      ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1187]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1186,plain,
% 1.27/1.67      ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_357_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5158,plain,
% 1.27/1.67      ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1186]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1185,plain,
% 1.27/1.67      ( class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_358_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5156,plain,
% 1.27/1.67      ( class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1185]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1184,plain,
% 1.27/1.67      ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_359_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5154,plain,
% 1.27/1.67      ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1184]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1183,plain,
% 1.27/1.67      ( class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_360_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5152,plain,
% 1.27/1.67      ( class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1183]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1182,plain,
% 1.27/1.67      ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_361_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5150,plain,
% 1.27/1.67      ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1182]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1181,plain,
% 1.27/1.67      ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_362_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5148,plain,
% 1.27/1.67      ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1181]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1180,plain,
% 1.27/1.67      ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_363_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5146,plain,
% 1.27/1.67      ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1180]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1179,plain,
% 1.27/1.67      ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_364_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5144,plain,
% 1.27/1.67      ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1179]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1178,plain,
% 1.27/1.67      ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_365_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5142,plain,
% 1.27/1.67      ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1178]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1177,plain,
% 1.27/1.67      ( class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_366_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5140,plain,
% 1.27/1.67      ( class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1177]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1176,plain,
% 1.27/1.67      ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_367_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5138,plain,
% 1.27/1.67      ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1176]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1175,plain,
% 1.27/1.67      ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_368_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5136,plain,
% 1.27/1.67      ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1175]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1174,plain,
% 1.27/1.67      ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_369_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5134,plain,
% 1.27/1.67      ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1174]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1173,plain,
% 1.27/1.67      ( class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_370_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5132,plain,
% 1.27/1.67      ( class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1173]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1172,plain,
% 1.27/1.67      ( class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_371_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5130,plain,
% 1.27/1.67      ( class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1172]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1171,plain,
% 1.27/1.67      ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_372_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5128,plain,
% 1.27/1.67      ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1171]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1170,plain,
% 1.27/1.67      ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_373_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5126,plain,
% 1.27/1.67      ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1170]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1169,plain,
% 1.27/1.67      ( class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_374_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5124,plain,
% 1.27/1.67      ( class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1169]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1168,plain,
% 1.27/1.67      ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_375_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5122,plain,
% 1.27/1.67      ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1168]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1167,plain,
% 1.27/1.67      ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_376_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5120,plain,
% 1.27/1.67      ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1167]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1166,plain,
% 1.27/1.67      ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_377_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5118,plain,
% 1.27/1.67      ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1166]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1165,plain,
% 1.27/1.67      ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_378_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5116,plain,
% 1.27/1.67      ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1165]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1164,plain,
% 1.27/1.67      ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_379_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5114,plain,
% 1.27/1.67      ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1164]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1163,plain,
% 1.27/1.67      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_380_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5112,plain,
% 1.27/1.67      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1163]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1158,plain,
% 1.27/1.67      ( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_385_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5106,plain,
% 1.27/1.67      ( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1158]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1152,plain,
% 1.27/1.67      ( c_NthRoot_Osqrt(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 1.27/1.67      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1984_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5098,plain,
% 1.27/1.67      ( c_NthRoot_Osqrt(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 1.27/1.67      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1152]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1150,plain,
% 1.27/1.67      ( c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 1.27/1.67      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1983_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5094,plain,
% 1.27/1.67      ( c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 1.27/1.67      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1150]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1148,plain,
% 1.27/1.67      ( c_NthRoot_Osqrt(X0) != c_NthRoot_Osqrt(X1) | X0 = X1 ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1982_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5090,plain,
% 1.27/1.67      ( c_NthRoot_Osqrt(X0) != c_NthRoot_Osqrt(X1) | X0 = X1 ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1148]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1146,plain,
% 1.27/1.67      ( c_Transcendental_Ocos(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 1.27/1.67      | c_Transcendental_Osin(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1981_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5086,plain,
% 1.27/1.67      ( c_Transcendental_Ocos(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 1.27/1.67      | c_Transcendental_Osin(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1146]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1142,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 1.27/1.67      | c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1979_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5078,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 1.27/1.67      | c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1142]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1140,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 1.27/1.67      | c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1978_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5074,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 1.27/1.67      | c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1140]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5075,plain,
% 1.27/1.67      ( c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.67      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 1.27/1.67      inference(rewriting,[status(thm)],[c_5074]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1138,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 1.27/1.67      | c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1977_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5070,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 1.27/1.67      | c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1138]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1136,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 1.27/1.67      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1976_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5066,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 1.27/1.67      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1136]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1134,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 1.27/1.67      | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1975_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5062,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 1.27/1.67      | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1134]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1132,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1974_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5058,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1132]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1130,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 1.27/1.67      | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1973_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5054,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 1.27/1.67      | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1130]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1128,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.67      | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1972_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5050,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.67      | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1128]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1126,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1971_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5046,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1126]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1124,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1970_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5042,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1124]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1120,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1968_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5034,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1120]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1118,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.67      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1967_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5030,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.67      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1118]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1116,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Osgn__if(X0)
% 1.27/1.67      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1966_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5026,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Osgn__if(X0)
% 1.27/1.67      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1116]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1114,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1965_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5022,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1114]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1112,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.67      | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1964_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5018,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.67      | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1112]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1110,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1963_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5014,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1110]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1108,plain,
% 1.27/1.67      ( c_Transcendental_Osin(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 1.27/1.67      | c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X0),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1962_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5010,plain,
% 1.27/1.67      ( c_Transcendental_Osin(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 1.27/1.67      | c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X0),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1108]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_5011,plain,
% 1.27/1.67      ( c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X0),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 1.27/1.67      | c_Transcendental_Osin(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(rewriting,[status(thm)],[c_5010]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1102,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | ~ class_RealVector_Oreal__algebra__1(X0)
% 1.27/1.67      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1960_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4998,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | ~ class_RealVector_Oreal__algebra__1(X0)
% 1.27/1.67      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1102]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1099,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(X1,X0) != X1
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1959_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4992,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(X1,X0) != X1
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1099]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1090,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_RealVector_Onorm__class_Onorm(X1,X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1956_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4974,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_RealVector_Onorm__class_Onorm(X1,X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1090]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1088,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 1.27/1.67      | ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1955_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4970,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 1.27/1.67      | ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1088]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4971,plain,
% 1.27/1.67      ( ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0)
% 1.27/1.67      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 1.27/1.67      inference(rewriting,[status(thm)],[c_4970]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1085,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 1.27/1.67      | c_RealVector_Oof__real(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1954_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4964,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 1.27/1.67      | c_RealVector_Oof__real(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1085]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1082,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.67      | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1953_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4958,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.67      | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1082]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1079,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1952_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4952,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1079]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1076,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1951_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4946,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1076]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1073,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.67      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1950_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4940,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.67      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1073]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1070,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.67      | c_HOL_Ozero__class_Ozero(X0) = X1 ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1949_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4934,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.67      | c_HOL_Ozero__class_Ozero(X0) = X1 ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1070]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4935,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.27/1.67      | c_HOL_Ozero__class_Ozero(X0) = X1
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(rewriting,[status(thm)],[c_4934]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1067,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1948_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4928,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1067]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1063,plain,
% 1.27/1.67      ( ~ class_Lattices_Oboolean__algebra(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1946_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4920,plain,
% 1.27/1.67      ( ~ class_Lattices_Oboolean__algebra(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1063]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1057,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1943_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4908,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1057]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1046,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1940_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4886,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1046]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1043,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 1.27/1.67      | c_RealVector_Oof__real(X1,X0) != c_RealVector_Oof__real(X2,X0)
% 1.27/1.67      | X1 = X2 ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1939_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4880,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 1.27/1.67      | c_RealVector_Oof__real(X1,X0) != c_RealVector_Oof__real(X2,X0)
% 1.27/1.67      | X1 = X2 ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1043]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1040,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 1.27/1.67      | X1 = X2 ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1938_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4874,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 1.27/1.67      | X1 = X2 ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1040]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1037,plain,
% 1.27/1.67      ( ~ class_Lattices_Oboolean__algebra(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 1.27/1.67      | X1 = X2 ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1937_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4868,plain,
% 1.27/1.67      ( ~ class_Lattices_Oboolean__algebra(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 1.27/1.67      | X1 = X2 ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1037]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1034,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1936_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4862,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1034]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1029,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1934_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4852,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1029]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1027,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 1.27/1.67      | c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1933_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4848,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 1.27/1.67      | c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1027]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1021,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_RealVector_Onorm__class_Onorm(X1,X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1931_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4836,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_RealVector_Onorm__class_Onorm(X1,X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1021]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1019,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.67      | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1930_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4832,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.67      | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1019]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1017,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.67      | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1929_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4828,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.67      | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1017]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1015,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.67      | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1928_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4824,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.67      | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1015]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1013,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1927_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4820,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1013]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1011,plain,
% 1.27/1.67      ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1926_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4816,plain,
% 1.27/1.67      ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1011]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4817,plain,
% 1.27/1.67      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 1.27/1.67      inference(rewriting,[status(thm)],[c_4816]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1009,plain,
% 1.27/1.67      ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1925_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4812,plain,
% 1.27/1.67      ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1009]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4813,plain,
% 1.27/1.67      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 1.27/1.67      inference(rewriting,[status(thm)],[c_4812]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1007,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.67      | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1924_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4808,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.67      | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1007]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4809,plain,
% 1.27/1.67      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 1.27/1.67      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 1.27/1.67      inference(rewriting,[status(thm)],[c_4808]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1005,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1923_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4804,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1005]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_1001,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 1.27/1.67      | X1 = X2
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.67      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1922_1) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4796,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 1.27/1.67      | X1 = X2
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.67      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_1001]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4797,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.67      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.67      | X1 = X2 ),
% 1.27/1.67      inference(rewriting,[status(thm)],[c_4796]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_998,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.67      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,X0) = X1 ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1921_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4790,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.67      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,X0) = X1 ),
% 1.27/1.67      inference(copy,[status(esa)],[c_998]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_996,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.67      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1920_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4786,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.67      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_996]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4787,plain,
% 1.27/1.67      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.27/1.67      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 1.27/1.67      inference(rewriting,[status(thm)],[c_4786]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_994,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.67      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1919_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4782,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.67      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_994]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4783,plain,
% 1.27/1.67      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.27/1.67      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 1.27/1.67      inference(rewriting,[status(thm)],[c_4782]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_992,plain,
% 1.27/1.67      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.67      | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1918_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4778,plain,
% 1.27/1.67      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.67      | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 1.27/1.67      inference(copy,[status(esa)],[c_992]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_988,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1916_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4770,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 1.27/1.67      inference(copy,[status(esa)],[c_988]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_986,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1915_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4766,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 1.27/1.67      inference(copy,[status(esa)],[c_986]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_984,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1914_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4762,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 1.27/1.67      inference(copy,[status(esa)],[c_984]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_982,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1913_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4758,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 1.27/1.67      inference(copy,[status(esa)],[c_982]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_980,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1912_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4754,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 1.27/1.67      inference(copy,[status(esa)],[c_980]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_978,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1911_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4750,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 1.27/1.67      inference(copy,[status(esa)],[c_978]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_976,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.67      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1910_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4746,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.67      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_976]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_974,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1909_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4742,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_974]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_968,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1907_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4730,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_968]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4731,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(rewriting,[status(thm)],[c_4730]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_965,plain,
% 1.27/1.67      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.67      | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1906_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4724,plain,
% 1.27/1.67      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.67      | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_965]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_963,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.27/1.67      | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1905_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4720,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.27/1.67      | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_963]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_961,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1904_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4716,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_961]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_959,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1903_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4712,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_959]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_957,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Omult__zero(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1902_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4708,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Omult__zero(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_957]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_955,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Omult__zero(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1901_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4704,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Omult__zero(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_955]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_949,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1898_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4692,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_949]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_945,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1896_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4684,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_945]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_943,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1895_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4680,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_943]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_941,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1894_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4676,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_941]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_939,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__field(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1893_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4672,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__field(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_939]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_937,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1892_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4668,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_937]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_935,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.67      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1891_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4664,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.67      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_935]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_933,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1890_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4660,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_933]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_931,plain,
% 1.27/1.67      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.67      | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1889_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4656,plain,
% 1.27/1.67      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.67      | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_931]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_929,plain,
% 1.27/1.67      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.67      | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1888_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4652,plain,
% 1.27/1.67      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.67      | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_929]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_927,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.27/1.67      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1887_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4648,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.27/1.67      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_927]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4649,plain,
% 1.27/1.67      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 1.27/1.67      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.27/1.67      inference(rewriting,[status(thm)],[c_4648]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_912,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1882_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4618,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_912]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_910,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 1.27/1.67      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oone__class_Oone(X0),X0) = c_RealVector_Oof__real(X1,X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1881_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4614,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 1.27/1.67      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oone__class_Oone(X0),X0) = c_RealVector_Oof__real(X1,X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_910]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_908,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1880_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4610,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_908]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_900,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1877_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4594,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_900]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_898,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.67      | c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1876_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4590,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.67      | c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_898]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4591,plain,
% 1.27/1.67      ( c_lessequals(X0,c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 1.27/1.67      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 1.27/1.67      inference(rewriting,[status(thm)],[c_4590]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_895,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.67      | ~ class_Int_Onumber__ring(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1875_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4584,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.67      | ~ class_Int_Onumber__ring(X0)
% 1.27/1.67      | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_895]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_893,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1874_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4580,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_893]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4581,plain,
% 1.27/1.67      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1),tc_RealDef_Oreal)
% 1.27/1.67      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 1.27/1.67      inference(rewriting,[status(thm)],[c_4580]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_890,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | ~ class_RealVector_Oreal__algebra__1(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1873_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4574,plain,
% 1.27/1.67      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.67      | ~ class_RealVector_Oreal__algebra__1(X0)
% 1.27/1.67      | c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X0),X0) = c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_890]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_887,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.67      | 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)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1872_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4568,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.67      | 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)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_887]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_884,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.67      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1871_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4562,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.67      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_884]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_882,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.67      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1870_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4558,plain,
% 1.27/1.67      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.67      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_882]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4559,plain,
% 1.27/1.67      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 1.27/1.67      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 1.27/1.67      inference(rewriting,[status(thm)],[c_4558]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_873,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oone__class_Oone(X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1867_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4540,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oone__class_Oone(X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_873]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_870,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1866_0) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_4534,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.27/1.67      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.67      inference(copy,[status(esa)],[c_870]) ).
% 1.27/1.67  
% 1.27/1.67  cnf(c_867,plain,
% 1.27/1.67      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.67      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1865_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4528,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_867]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_865,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.68      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1864_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4524,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.68      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_865]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4525,plain,
% 1.27/1.68      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.68      | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4524]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_863,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1863_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4520,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_863]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_857,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 1.27/1.68      | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1861_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4508,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 1.27/1.68      | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_857]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_855,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.68      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1860_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4504,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.68      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_855]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4505,plain,
% 1.27/1.68      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.68      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4504]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_850,plain,
% 1.27/1.68      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1858_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4494,plain,
% 1.27/1.68      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_850]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_846,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.68      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X1 = X2 ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1857_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4486,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.68      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X1 = X2 ),
% 1.27/1.68      inference(copy,[status(esa)],[c_846]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_843,plain,
% 1.27/1.68      ( c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 1.27/1.68      | X0 = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.68      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1856_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4480,plain,
% 1.27/1.68      ( c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 1.27/1.68      | X0 = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.68      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_843]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4481,plain,
% 1.27/1.68      ( c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 1.27/1.68      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 1.27/1.68      | X0 = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4480]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_836,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.68      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1854_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4466,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.68      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_836]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4467,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.68      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4466]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_829,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1852_1) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4452,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_829]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_828,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1852_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4450,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_828]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_825,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1851_1) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4444,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_825]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_824,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1851_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4442,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_824]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_822,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.27/1.68      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1850_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4438,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.27/1.68      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_822]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4439,plain,
% 1.27/1.68      ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.68      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4438]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_820,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.68      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1849_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4434,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.68      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_820]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4435,plain,
% 1.27/1.68      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 1.27/1.68      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4434]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_818,plain,
% 1.27/1.68      ( ~ class_Int_Onumber__ring(X0)
% 1.27/1.68      | 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) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1848_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4430,plain,
% 1.27/1.68      ( ~ class_Int_Onumber__ring(X0)
% 1.27/1.68      | 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) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_818]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_816,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = X1 ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1847_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4426,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = X1 ),
% 1.27/1.68      inference(copy,[status(esa)],[c_816]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_813,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 1.27/1.68      | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2 ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1846_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4420,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 1.27/1.68      | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2 ),
% 1.27/1.68      inference(copy,[status(esa)],[c_813]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_809,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1844_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4412,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_809]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_806,plain,
% 1.27/1.68      ( ~ class_Orderings_Olinorder(X0)
% 1.27/1.68      | c_lessequals(X1,X2,X0)
% 1.27/1.68      | c_lessequals(X2,X1,X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1843_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4406,plain,
% 1.27/1.68      ( ~ class_Orderings_Olinorder(X0)
% 1.27/1.68      | c_lessequals(X1,X2,X0)
% 1.27/1.68      | c_lessequals(X2,X1,X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_806]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4407,plain,
% 1.27/1.68      ( c_lessequals(X0,X1,X2)
% 1.27/1.68      | c_lessequals(X1,X0,X2)
% 1.27/1.68      | ~ class_Orderings_Olinorder(X2) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4406]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_801,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.68      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X0) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1841_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4396,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.68      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X0) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_801]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_793,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.68      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1839_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4380,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.68      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_793]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_785,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1836_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4364,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_785]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_783,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X0),X2,X0) = c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1835_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4360,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X0),X2,X0) = c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_783]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_781,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.68      | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1834_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4356,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 1.27/1.68      | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_781]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4357,plain,
% 1.27/1.68      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X0,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.27/1.68      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4356]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_775,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.68      | ~ class_Int_Onumber__ring(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1832_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4344,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.68      | ~ class_Int_Onumber__ring(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_775]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_773,plain,
% 1.27/1.68      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1831_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4340,plain,
% 1.27/1.68      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_773]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4341,plain,
% 1.27/1.68      ( c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 1.27/1.68      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4340]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_769,plain,
% 1.27/1.68      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1829_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4332,plain,
% 1.27/1.68      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_769]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4333,plain,
% 1.27/1.68      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 1.27/1.68      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4332]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_767,plain,
% 1.27/1.68      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1828_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4328,plain,
% 1.27/1.68      ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_767]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4329,plain,
% 1.27/1.68      ( c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.68      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4328]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_765,plain,
% 1.27/1.68      ( ~ c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1827_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4324,plain,
% 1.27/1.68      ( ~ c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_765]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4325,plain,
% 1.27/1.68      ( c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.68      | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4324]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_761,plain,
% 1.27/1.68      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1825_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4316,plain,
% 1.27/1.68      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_761]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4317,plain,
% 1.27/1.68      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 1.27/1.68      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4316]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_759,plain,
% 1.27/1.68      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1824_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4312,plain,
% 1.27/1.68      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_759]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_757,plain,
% 1.27/1.68      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1823_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4308,plain,
% 1.27/1.68      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_757]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_755,plain,
% 1.27/1.68      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1822_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4304,plain,
% 1.27/1.68      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_755]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_753,plain,
% 1.27/1.68      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1821_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4300,plain,
% 1.27/1.68      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_753]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_751,plain,
% 1.27/1.68      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1820_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4296,plain,
% 1.27/1.68      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_751]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_749,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oring(X0)
% 1.27/1.68      | 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) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1819_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4292,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oring(X0)
% 1.27/1.68      | 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) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_749]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_747,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1818_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4288,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_747]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_745,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oring(X0)
% 1.27/1.68      | 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) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1817_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4284,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oring(X0)
% 1.27/1.68      | 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) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_745]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_743,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oidom(X0)
% 1.27/1.68      | 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) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1816_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4280,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oidom(X0)
% 1.27/1.68      | 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) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_743]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_741,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Odvd(X0)
% 1.27/1.68      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1815_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4276,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Odvd(X0)
% 1.27/1.68      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_741]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4277,plain,
% 1.27/1.68      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 1.27/1.68      | ~ class_Ring__and__Field_Odvd(X2) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4276]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_739,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.68      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1814_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4272,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.68      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_739]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4273,plain,
% 1.27/1.68      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 1.27/1.68      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4272]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_737,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.68      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1813_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4268,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.68      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_737]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4269,plain,
% 1.27/1.68      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2)
% 1.27/1.68      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4268]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_734,plain,
% 1.27/1.68      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 1.27/1.68      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
% 1.27/1.68      | X1 = X0 ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1812_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4262,plain,
% 1.27/1.68      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 1.27/1.68      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
% 1.27/1.68      | X1 = X0 ),
% 1.27/1.68      inference(copy,[status(esa)],[c_734]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_731,plain,
% 1.27/1.68      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 1.27/1.68      | X0 = X2 ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1811_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4256,plain,
% 1.27/1.68      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 1.27/1.68      | X0 = X2 ),
% 1.27/1.68      inference(copy,[status(esa)],[c_731]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_728,plain,
% 1.27/1.68      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal)
% 1.27/1.68      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 1.27/1.68      | X1 = X2 ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1810_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4250,plain,
% 1.27/1.68      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal)
% 1.27/1.68      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 1.27/1.68      | X1 = X2 ),
% 1.27/1.68      inference(copy,[status(esa)],[c_728]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_726,plain,
% 1.27/1.68      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1809_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4246,plain,
% 1.27/1.68      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_726]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_723,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.68      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1808_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4240,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.68      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_723]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_720,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.68      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.68      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1807_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4234,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.68      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.68      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_720]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4235,plain,
% 1.27/1.68      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 1.27/1.68      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.27/1.68      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4234]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_717,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.68      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.68      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1806_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4228,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.68      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.68      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_717]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4229,plain,
% 1.27/1.68      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 1.27/1.68      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 1.27/1.68      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4228]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_714,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.27/1.68      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.68      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1805_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4222,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.27/1.68      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.68      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_714]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4223,plain,
% 1.27/1.68      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 1.27/1.68      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 1.27/1.68      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4222]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_711,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.27/1.68      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.68      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1804_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4216,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 1.27/1.68      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.68      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_711]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4217,plain,
% 1.27/1.68      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 1.27/1.68      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.27/1.68      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4216]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_708,plain,
% 1.27/1.68      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.68      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = X2
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1803_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4210,plain,
% 1.27/1.68      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.68      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = X2
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_708]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_705,plain,
% 1.27/1.68      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.68      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1802_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4204,plain,
% 1.27/1.68      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.68      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_705]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_699,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0) = X2 ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1800_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4192,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0) = X2 ),
% 1.27/1.68      inference(copy,[status(esa)],[c_699]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4193,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.68      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4192]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_697,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.68      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1799_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4188,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.68      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_697]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4189,plain,
% 1.27/1.68      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 1.27/1.68      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4188]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_650,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.68      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X1,X3,X0)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 1.27/1.68      | X2 = X3 ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1786_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4094,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.68      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X1,X3,X0)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 1.27/1.68      | X2 = X3 ),
% 1.27/1.68      inference(copy,[status(esa)],[c_650]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_646,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.68      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X0)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X1 = X3 ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1785_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4086,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.68      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X0)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X1 = X3 ),
% 1.27/1.68      inference(copy,[status(esa)],[c_646]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_644,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.68      | 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) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1784_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4082,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.68      | 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) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_644]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4083,plain,
% 1.27/1.68      ( 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)
% 1.27/1.68      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4082]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_623,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.27/1.68      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.68      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1777_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4040,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.27/1.68      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.68      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_623]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4041,plain,
% 1.27/1.68      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.27/1.68      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.68      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4040]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_611,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.27/1.68      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 1.27/1.68      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1773_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4016,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.27/1.68      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 1.27/1.68      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_611]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4017,plain,
% 1.27/1.68      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.68      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 1.27/1.68      | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4016]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_608,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.27/1.68      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.27/1.68      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1772_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4010,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 1.27/1.68      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.27/1.68      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_608]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4011,plain,
% 1.27/1.68      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.27/1.68      | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 1.27/1.68      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4010]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_605,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.27/1.68      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 1.27/1.68      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1771_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4004,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.27/1.68      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 1.27/1.68      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_605]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_4005,plain,
% 1.27/1.68      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.68      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 1.27/1.68      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_4004]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_602,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.27/1.68      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.27/1.68      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1770_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3998,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 1.27/1.68      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 1.27/1.68      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_602]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3999,plain,
% 1.27/1.68      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.27/1.68      | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 1.27/1.68      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_3998]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_598,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oidom(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(X1,X1,X0) != c_HOL_Otimes__class_Otimes(X2,X2,X0)
% 1.27/1.68      | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
% 1.27/1.68      | X1 = X2 ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1769_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3990,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oidom(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(X1,X1,X0) != c_HOL_Otimes__class_Otimes(X2,X2,X0)
% 1.27/1.68      | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
% 1.27/1.68      | X1 = X2 ),
% 1.27/1.68      inference(copy,[status(esa)],[c_598]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_596,plain,
% 1.27/1.68      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1768_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3986,plain,
% 1.27/1.68      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_596]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_588,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.68      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.68      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.68      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1766_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3970,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.68      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.68      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.68      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_588]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3971,plain,
% 1.27/1.68      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 1.27/1.68      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.27/1.68      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.27/1.68      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_3970]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_584,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.68      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.68      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.68      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1765_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3962,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.68      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.68      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.68      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_584]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3963,plain,
% 1.27/1.68      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 1.27/1.68      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 1.27/1.68      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 1.27/1.68      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_3962]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_580,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.68      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.68      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.68      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1764_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3954,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.68      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.68      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.68      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_580]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3955,plain,
% 1.27/1.68      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 1.27/1.68      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.68      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.68      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_3954]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_577,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.27/1.68      | ~ c_lessequals(X1,X2,X0)
% 1.27/1.68      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1763_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3948,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.27/1.68      | ~ c_lessequals(X1,X2,X0)
% 1.27/1.68      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_577]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3949,plain,
% 1.27/1.68      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 1.27/1.68      | ~ c_lessequals(X2,X0,X1)
% 1.27/1.68      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_3948]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_571,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.27/1.68      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.68      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1761_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3936,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.27/1.68      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.68      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_571]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3937,plain,
% 1.27/1.68      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.68      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.68      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_3936]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_569,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.68      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1760_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3932,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.68      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_569]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_565,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.68      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1758_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3924,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.68      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_565]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_563,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.68      | c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1757_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3920,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.68      | c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_563]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_561,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__normed__field(X0)
% 1.27/1.68      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1756_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3916,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__normed__field(X0)
% 1.27/1.68      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_561]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_559,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.68      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1755_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3912,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.68      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_559]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_557,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.68      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1754_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3908,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.68      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_557]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_553,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.27/1.68      | 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) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1752_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3900,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.27/1.68      | 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) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_553]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_549,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.27/1.68      | 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) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1750_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3892,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.27/1.68      | 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) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_549]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_547,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.68      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1749_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3888,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.68      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_547]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_545,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oring(X0)
% 1.27/1.68      | 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) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1748_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3884,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oring(X0)
% 1.27/1.68      | 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) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_545]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_543,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oring(X0)
% 1.27/1.68      | 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) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1747_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3880,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oring(X0)
% 1.27/1.68      | 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) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_543]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_528,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.68      | 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)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1743_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3850,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.68      | 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)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_528]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_525,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.68      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1742_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3844,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.68      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_525]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_520,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.27/1.68      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.27/1.68      | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1740_1) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3834,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.27/1.68      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 1.27/1.68      | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_520]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3835,plain,
% 1.27/1.68      ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 1.27/1.68      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 1.27/1.68      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_3834]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_514,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.27/1.68      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 1.27/1.68      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1738_1) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3822,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 1.27/1.68      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 1.27/1.68      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_514]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3823,plain,
% 1.27/1.68      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 1.27/1.68      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 1.27/1.68      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_3822]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_503,plain,
% 1.27/1.68      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 1.27/1.68      | ~ c_lessequals(X0,X2,tc_RealDef_Oreal)
% 1.27/1.68      | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1734_2) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3800,plain,
% 1.27/1.68      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 1.27/1.68      | ~ c_lessequals(X0,X2,tc_RealDef_Oreal)
% 1.27/1.68      | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_503]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_502,plain,
% 1.27/1.68      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(X2,X1,tc_RealDef_Oreal)
% 1.27/1.68      | ~ c_lessequals(X2,X0,tc_RealDef_Oreal) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1734_1) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3798,plain,
% 1.27/1.68      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(X2,X1,tc_RealDef_Oreal)
% 1.27/1.68      | ~ c_lessequals(X2,X0,tc_RealDef_Oreal) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_502]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_501,plain,
% 1.27/1.68      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 1.27/1.68      | ~ c_lessequals(X2,X0,tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1734_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3796,plain,
% 1.27/1.68      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 1.27/1.68      | ~ c_lessequals(X2,X0,tc_RealDef_Oreal)
% 1.27/1.68      | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_501]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_499,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1733_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3792,plain,
% 1.27/1.68      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_499]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_497,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.68      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1732_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3788,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.68      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_497]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3789,plain,
% 1.27/1.68      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0),X0)
% 1.27/1.68      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_3788]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_492,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.68      | c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1730_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3778,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.68      | c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_492]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_490,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X0),c_RealVector_Oof__real(X2,X0),X0) = c_RealVector_Oof__real(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1729_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3774,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X0),c_RealVector_Oof__real(X2,X0),X0) = c_RealVector_Oof__real(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_490]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_488,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1728_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3770,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_488]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_486,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1727_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3766,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_486]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_484,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1726_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3762,plain,
% 1.27/1.68      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_484]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_482,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1725_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3758,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.68      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_482]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_480,plain,
% 1.27/1.68      ( ~ class_Orderings_Oorder(X0)
% 1.27/1.68      | c_lessequals(X1,X2,X0)
% 1.27/1.68      | ~ c_lessequals(X3,X2,X0)
% 1.27/1.68      | ~ c_lessequals(X1,X3,X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1724_2) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3754,plain,
% 1.27/1.68      ( ~ class_Orderings_Oorder(X0)
% 1.27/1.68      | c_lessequals(X1,X2,X0)
% 1.27/1.68      | ~ c_lessequals(X3,X2,X0)
% 1.27/1.68      | ~ c_lessequals(X1,X3,X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_480]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3755,plain,
% 1.27/1.68      ( c_lessequals(X0,X1,X2)
% 1.27/1.68      | ~ c_lessequals(X3,X1,X2)
% 1.27/1.68      | ~ c_lessequals(X0,X3,X2)
% 1.27/1.68      | ~ class_Orderings_Oorder(X2) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_3754]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_476,plain,
% 1.27/1.68      ( ~ class_Orderings_Opreorder(X0)
% 1.27/1.68      | c_lessequals(X1,X2,X0)
% 1.27/1.68      | ~ c_lessequals(X1,X3,X0)
% 1.27/1.68      | ~ c_lessequals(X3,X2,X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1723_2) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3746,plain,
% 1.27/1.68      ( ~ class_Orderings_Opreorder(X0)
% 1.27/1.68      | c_lessequals(X1,X2,X0)
% 1.27/1.68      | ~ c_lessequals(X1,X3,X0)
% 1.27/1.68      | ~ c_lessequals(X3,X2,X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_476]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3747,plain,
% 1.27/1.68      ( c_lessequals(X0,X1,X2)
% 1.27/1.68      | ~ c_lessequals(X0,X3,X2)
% 1.27/1.68      | ~ c_lessequals(X3,X1,X2)
% 1.27/1.68      | ~ class_Orderings_Opreorder(X2) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_3746]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_472,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.68      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.68      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.27/1.68      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1722_2) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3738,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.68      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.68      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.27/1.68      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_472]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3739,plain,
% 1.27/1.68      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 1.27/1.68      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.27/1.68      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 1.27/1.68      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 1.27/1.68      inference(rewriting,[status(thm)],[c_3738]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_467,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.68      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1721_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3728,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.68      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_467]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_458,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.68      | 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)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1718_1) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3710,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.68      | 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)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      inference(copy,[status(esa)],[c_458]) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_457,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.68      | 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)
% 1.27/1.68      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.68      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1718_0) ).
% 1.27/1.68  
% 1.27/1.68  cnf(c_3708,plain,
% 1.27/1.68      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 1.27/1.68      | 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)
% 1.27/1.69      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.69      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_457]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_454,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.69      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1717_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3702,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.69      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_454]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3703,plain,
% 1.27/1.69      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 1.27/1.69      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3702]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_451,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.69      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1716_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3696,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.69      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_451]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3697,plain,
% 1.27/1.69      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 1.27/1.69      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3696]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_442,plain,
% 1.27/1.69      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 1.27/1.69      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X1,X0),tc_RealDef_Oreal) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1713_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3678,plain,
% 1.27/1.69      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 1.27/1.69      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X1,X0),tc_RealDef_Oreal) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_442]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3679,plain,
% 1.27/1.69      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 1.27/1.69      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X1,X0),tc_RealDef_Oreal)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3678]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_440,plain,
% 1.27/1.69      ( c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.69      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1712_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3674,plain,
% 1.27/1.69      ( c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.69      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_440]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_438,plain,
% 1.27/1.69      ( c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.69      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1711_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3670,plain,
% 1.27/1.69      ( c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.69      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_438]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_435,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.27/1.69      | c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1710_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3664,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.27/1.69      | c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_435]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3665,plain,
% 1.27/1.69      ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3664]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_432,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.69      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1709_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3658,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.69      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_432]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3659,plain,
% 1.27/1.69      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3658]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_429,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.69      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1708_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3652,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.69      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_429]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3653,plain,
% 1.27/1.69      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3652]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_421,plain,
% 1.27/1.69      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 1.27/1.69      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
% 1.27/1.69      | c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1706_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3636,plain,
% 1.27/1.69      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 1.27/1.69      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
% 1.27/1.69      | c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_421]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3637,plain,
% 1.27/1.69      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 1.27/1.69      | c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 1.27/1.69      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3636]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_418,plain,
% 1.27/1.69      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 1.27/1.69      | c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1705_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3630,plain,
% 1.27/1.69      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 1.27/1.69      | c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_418]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3631,plain,
% 1.27/1.69      ( c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 1.27/1.69      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3630]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_414,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.69      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1704_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3622,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.69      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_414]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3623,plain,
% 1.27/1.69      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3622]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_410,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1703_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3614,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_410]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3615,plain,
% 1.27/1.69      ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3614]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_396,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.69      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 1.27/1.69      | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 1.27/1.69      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.69      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1699_2) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3586,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.69      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 1.27/1.69      | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 1.27/1.69      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 1.27/1.69      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_396]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_392,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oidom(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1698_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3578,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oidom(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_392]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3579,plain,
% 1.27/1.69      ( 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)
% 1.27/1.69      | ~ class_Ring__and__Field_Oidom(X0) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3578]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_390,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oidom(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1697_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3574,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oidom(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_390]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3575,plain,
% 1.27/1.69      ( 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)
% 1.27/1.69      | ~ class_Ring__and__Field_Oidom(X1) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3574]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_388,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.69      | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1696_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3570,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.69      | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_388]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_378,plain,
% 1.27/1.69      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.69      | c_Divides_Odiv__class_Odiv(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) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1693_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3550,plain,
% 1.27/1.69      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.69      | c_Divides_Odiv__class_Odiv(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) = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_378]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_367,plain,
% 1.27/1.69      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.69      | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3,X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1689_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3528,plain,
% 1.27/1.69      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.69      | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3,X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_367]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_365,plain,
% 1.27/1.69      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1688_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3524,plain,
% 1.27/1.69      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_365]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_361,plain,
% 1.27/1.69      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.69      | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1686_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3516,plain,
% 1.27/1.69      ( ~ class_RealVector_Oreal__vector(X0)
% 1.27/1.69      | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_361]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_359,plain,
% 1.27/1.69      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.69      | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1685_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3512,plain,
% 1.27/1.69      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 1.27/1.69      | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_359]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_357,plain,
% 1.27/1.69      ( ~ class_RealVector_Oreal__normed__field(X0)
% 1.27/1.69      | c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1684_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3508,plain,
% 1.27/1.69      ( ~ class_RealVector_Oreal__normed__field(X0)
% 1.27/1.69      | c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_357]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_355,plain,
% 1.27/1.69      ( ~ class_RealVector_Oreal__algebra(X0)
% 1.27/1.69      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1683_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3504,plain,
% 1.27/1.69      ( ~ class_RealVector_Oreal__algebra(X0)
% 1.27/1.69      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_355]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_353,plain,
% 1.27/1.69      ( ~ class_RealVector_Oreal__algebra(X0)
% 1.27/1.69      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1682_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3500,plain,
% 1.27/1.69      ( ~ class_RealVector_Oreal__algebra(X0)
% 1.27/1.69      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_353]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_349,plain,
% 1.27/1.69      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.27/1.69      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1680_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3492,plain,
% 1.27/1.69      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.27/1.69      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_349]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_345,plain,
% 1.27/1.69      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.27/1.69      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1678_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3484,plain,
% 1.27/1.69      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.27/1.69      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_345]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_341,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1676_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3476,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_341]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_337,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1674_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3468,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_337]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_335,plain,
% 1.27/1.69      ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1673_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3464,plain,
% 1.27/1.69      ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_335]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_333,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1672_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3460,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_333]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_330,plain,
% 1.27/1.69      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.69      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_Divides_Odiv__class_Odiv(X1,X3,X0)
% 1.27/1.69      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1671_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3454,plain,
% 1.27/1.69      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.69      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_Divides_Odiv__class_Odiv(X1,X3,X0)
% 1.27/1.69      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_330]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_327,plain,
% 1.27/1.69      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.69      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_Divides_Odiv__class_Odiv(X2,X3,X0)
% 1.27/1.69      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1670_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3448,plain,
% 1.27/1.69      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.69      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_Divides_Odiv__class_Odiv(X2,X3,X0)
% 1.27/1.69      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_327]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_298,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oidom(X0)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.69      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1662_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3390,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oidom(X0)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.69      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_298]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3391,plain,
% 1.27/1.69      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.27/1.69      | ~ class_Ring__and__Field_Oidom(X2) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3390]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_295,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oidom(X0)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.69      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1661_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3384,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oidom(X0)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.69      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_295]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3385,plain,
% 1.27/1.69      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 1.27/1.69      | ~ class_Ring__and__Field_Oidom(X2) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3384]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_292,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.69      | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1660_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3378,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 1.27/1.69      | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_292]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3379,plain,
% 1.27/1.69      ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.27/1.69      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3378]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_276,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.69      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1656_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3346,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.69      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_276]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3347,plain,
% 1.27/1.69      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.27/1.69      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.69      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3346]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_272,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.69      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1655_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3338,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.69      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_272]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3339,plain,
% 1.27/1.69      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.69      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3338]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_264,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.69      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1653_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3322,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.69      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_264]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3323,plain,
% 1.27/1.69      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.69      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3322]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_262,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.27/1.69      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1652_2) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3318,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.27/1.69      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_262]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3319,plain,
% 1.27/1.69      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3318]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_254,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.27/1.69      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1650_2) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3302,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 1.27/1.69      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_254]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3303,plain,
% 1.27/1.69      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3302]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_250,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.69      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1649_2) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3294,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.69      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_250]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3295,plain,
% 1.27/1.69      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3294]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_246,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.69      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1648_2) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3286,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 1.27/1.69      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_246]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3287,plain,
% 1.27/1.69      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3286]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_242,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 1.27/1.69      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1647_2) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3278,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 1.27/1.69      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_242]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3279,plain,
% 1.27/1.69      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3278]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_237,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.69      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1646_2) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3268,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.69      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_237]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3269,plain,
% 1.27/1.69      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3268]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_232,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.69      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1645_2) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3258,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.69      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_232]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3259,plain,
% 1.27/1.69      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3258]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_225,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.69      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1644_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3244,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 1.27/1.69      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.69      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_225]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3245,plain,
% 1.27/1.69      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 1.27/1.69      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 1.27/1.69      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3244]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_127,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oring__1(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1621_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3048,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oring__1(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_127]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_125,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1620_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3044,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_125]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_123,plain,
% 1.27/1.69      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1619_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3040,plain,
% 1.27/1.69      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_123]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_120,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.69      | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
% 1.27/1.69      | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1618_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3034,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ofield(X0)
% 1.27/1.69      | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
% 1.27/1.69      | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_120]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_114,plain,
% 1.27/1.69      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.69      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1616_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3022,plain,
% 1.27/1.69      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.69      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_114]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_112,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.69      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1615_2) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3018,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.69      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_112]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3019,plain,
% 1.27/1.69      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 1.27/1.69      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3018]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_107,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.27/1.69      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1614_2) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3008,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.27/1.69      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_107]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_3009,plain,
% 1.27/1.69      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)
% 1.27/1.69      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_3008]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_102,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.27/1.69      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1613_2) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_2998,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 1.27/1.69      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 1.27/1.69      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_102]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_2999,plain,
% 1.27/1.69      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 1.27/1.69      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 1.27/1.69      | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 1.27/1.69      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_2998]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_52,plain,
% 1.27/1.69      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.27/1.69      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1601_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_2898,plain,
% 1.27/1.69      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 1.27/1.69      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_52]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_2899,plain,
% 1.27/1.69      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X0,X2),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 1.27/1.69      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_2898]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_50,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 1.27/1.69      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1600_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_2894,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 1.27/1.69      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_50]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_2895,plain,
% 1.27/1.69      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 1.27/1.69      | ~ class_Ring__and__Field_Olordered__ring(X2) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_2894]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_45,plain,
% 1.27/1.69      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.69      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1598_3) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_2884,plain,
% 1.27/1.69      ( ~ class_Divides_Osemiring__div(X0)
% 1.27/1.69      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_45]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_2885,plain,
% 1.27/1.69      ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 1.27/1.69      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 1.27/1.69      | ~ class_Divides_Osemiring__div(X2) ),
% 1.27/1.69      inference(rewriting,[status(thm)],[c_2884]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_40,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1597_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_2874,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_40]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_23,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1593_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_2840,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_23]) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_21,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1592_0) ).
% 1.27/1.69  
% 1.27/1.69  cnf(c_2836,plain,
% 1.27/1.69      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 1.27/1.69      | 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) ),
% 1.27/1.69      inference(copy,[status(esa)],[c_21]) ).
% 1.27/1.69  
% 1.27/1.69  
% 1.27/1.69  
% 1.27/1.69  % ------                             Statistics
% 1.27/1.69  
% 1.27/1.69  % ------ General
% 1.27/1.69  
% 1.27/1.69  % num_of_input_clauses:                 1233
% 1.27/1.69  % num_of_input_neg_conjectures:         1
% 1.27/1.69  % num_of_splits:                        0
% 1.27/1.69  % num_of_split_atoms:                   0
% 1.27/1.69  % num_of_sem_filtered_clauses:          0
% 1.27/1.69  % num_of_subtypes:                      0
% 1.27/1.69  % monotx_restored_types:                0
% 1.27/1.69  % sat_num_of_epr_types:                 0
% 1.27/1.69  % sat_num_of_non_cyclic_types:          0
% 1.27/1.69  % sat_guarded_non_collapsed_types:      0
% 1.27/1.69  % is_epr:                               0
% 1.27/1.69  % is_horn:                              0
% 1.27/1.69  % has_eq:                               1
% 1.27/1.69  % num_pure_diseq_elim:                  0
% 1.27/1.69  % simp_replaced_by:                     0
% 1.27/1.69  % res_preprocessed:                     2
% 1.27/1.69  % prep_upred:                           0
% 1.27/1.69  % prep_unflattend:                      0
% 1.27/1.69  % pred_elim_cands:                      0
% 1.27/1.69  % pred_elim:                            0
% 1.27/1.69  % pred_elim_cl:                         0
% 1.27/1.69  % pred_elim_cycles:                     0
% 1.27/1.69  % forced_gc_time:                       0
% 1.27/1.69  % gc_basic_clause_elim:                 0
% 1.27/1.69  % parsing_time:                         0.065
% 1.27/1.69  % sem_filter_time:                      0.
% 1.27/1.69  % pred_elim_time:                       0.
% 1.27/1.69  % out_proof_time:                       0.
% 1.27/1.69  % monotx_time:                          0.
% 1.27/1.69  % subtype_inf_time:                     0.
% 1.27/1.69  % unif_index_cands_time:                0.
% 1.27/1.69  % unif_index_add_time:                  0.
% 1.27/1.69  % total_time:                           1.217
% 1.27/1.69  % num_of_symbols:                       102
% 1.27/1.69  % num_of_terms:                         2885
% 1.27/1.69  
% 1.27/1.69  % ------ Propositional Solver
% 1.27/1.69  
% 1.27/1.69  % prop_solver_calls:                    1
% 1.27/1.69  % prop_fast_solver_calls:               3
% 1.27/1.69  % prop_num_of_clauses:                  1089
% 1.27/1.69  % prop_preprocess_simplified:           3735
% 1.27/1.69  % prop_fo_subsumed:                     0
% 1.27/1.69  % prop_solver_time:                     0.
% 1.27/1.69  % prop_fast_solver_time:                0.
% 1.27/1.69  % prop_unsat_core_time:                 0.
% 1.27/1.69  
% 1.27/1.69  % ------ QBF 
% 1.27/1.69  
% 1.27/1.69  % qbf_q_res:                            0
% 1.27/1.69  % qbf_num_tautologies:                  0
% 1.27/1.69  % qbf_prep_cycles:                      0
% 1.27/1.69  
% 1.27/1.69  % ------ BMC1
% 1.27/1.69  
% 1.27/1.69  % bmc1_current_bound:                   -1
% 1.27/1.69  % bmc1_last_solved_bound:               -1
% 1.27/1.69  % bmc1_unsat_core_size:                 -1
% 1.27/1.69  % bmc1_unsat_core_parents_size:         -1
% 1.27/1.69  % bmc1_merge_next_fun:                  0
% 1.27/1.69  % bmc1_unsat_core_clauses_time:         0.
% 1.27/1.69  
% 1.27/1.69  % ------ Instantiation
% 1.27/1.69  
% 1.27/1.69  % inst_num_of_clauses:                  1141
% 1.27/1.69  % inst_num_in_passive:                  0
% 1.27/1.69  % inst_num_in_active:                   0
% 1.27/1.69  % inst_num_in_unprocessed:              1233
% 1.27/1.69  % inst_num_of_loops:                    0
% 1.27/1.69  % inst_num_of_learning_restarts:        0
% 1.27/1.69  % inst_num_moves_active_passive:        0
% 1.27/1.69  % inst_lit_activity:                    0
% 1.27/1.69  % inst_lit_activity_moves:              0
% 1.27/1.69  % inst_num_tautologies:                 0
% 1.27/1.69  % inst_num_prop_implied:                0
% 1.27/1.69  % inst_num_existing_simplified:         0
% 1.27/1.69  % inst_num_eq_res_simplified:           0
% 1.27/1.69  % inst_num_child_elim:                  0
% 1.27/1.69  % inst_num_of_dismatching_blockings:    0
% 1.27/1.69  % inst_num_of_non_proper_insts:         0
% 1.27/1.69  % inst_num_of_duplicates:               0
% 1.27/1.69  % inst_inst_num_from_inst_to_res:       0
% 1.27/1.69  % inst_dismatching_checking_time:       0.
% 1.27/1.69  
% 1.27/1.69  % ------ Resolution
% 1.27/1.69  
% 1.27/1.69  % res_num_of_clauses:                   1285
% 1.27/1.69  % res_num_in_passive:                   0
% 1.27/1.69  % res_num_in_active:                    462
% 1.27/1.69  % res_num_of_loops:                     2
% 1.27/1.69  % res_forward_subset_subsumed:          751
% 1.27/1.69  % res_backward_subset_subsumed:         1
% 1.27/1.69  % res_forward_subsumed:                 0
% 1.27/1.69  % res_backward_subsumed:                0
% 1.27/1.69  % res_forward_subsumption_resolution:   0
% 1.27/1.69  % res_backward_subsumption_resolution:  0
% 1.27/1.69  % res_clause_to_clause_subsumption:     0
% 1.27/1.69  % res_orphan_elimination:               0
% 1.27/1.69  % res_tautology_del:                    0
% 1.27/1.69  % res_num_eq_res_simplified:            0
% 1.27/1.69  % res_num_sel_changes:                  0
% 1.27/1.69  % res_moves_from_active_to_pass:        0
% 1.27/1.69  
% 1.27/1.70  % Status Unknown
% 1.53/1.81  % Orienting using strategy ClausalAll
% 1.53/1.81  % Orientation found
% 1.53/1.81  % 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_be3b90.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_314be4.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_f82893 | grep -v "SZS"
% 1.53/1.83  
% 1.53/1.83  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 1.53/1.83  
% 1.53/1.83  % 
% 1.53/1.83  % ------  iProver source info 
% 1.53/1.83  
% 1.53/1.83  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 1.53/1.83  % git: non_committed_changes: true
% 1.53/1.83  % git: last_make_outside_of_git: true
% 1.53/1.83  
% 1.53/1.83  % 
% 1.53/1.83  % ------ Input Options
% 1.53/1.83  
% 1.53/1.83  % --out_options                         all
% 1.53/1.83  % --tptp_safe_out                       true
% 1.53/1.83  % --problem_path                        ""
% 1.53/1.83  % --include_path                        ""
% 1.53/1.83  % --clausifier                          .//eprover
% 1.53/1.83  % --clausifier_options                  --tstp-format  
% 1.53/1.83  % --stdin                               false
% 1.53/1.83  % --dbg_backtrace                       false
% 1.53/1.83  % --dbg_dump_prop_clauses               false
% 1.53/1.83  % --dbg_dump_prop_clauses_file          -
% 1.53/1.83  % --dbg_out_stat                        false
% 1.53/1.83  
% 1.53/1.83  % ------ General Options
% 1.53/1.83  
% 1.53/1.83  % --fof                                 false
% 1.53/1.83  % --time_out_real                       150.
% 1.53/1.83  % --time_out_prep_mult                  0.2
% 1.53/1.83  % --time_out_virtual                    -1.
% 1.53/1.83  % --schedule                            none
% 1.53/1.83  % --ground_splitting                    input
% 1.53/1.83  % --splitting_nvd                       16
% 1.53/1.83  % --non_eq_to_eq                        false
% 1.53/1.83  % --prep_gs_sim                         true
% 1.53/1.83  % --prep_unflatten                      false
% 1.53/1.83  % --prep_res_sim                        true
% 1.53/1.83  % --prep_upred                          true
% 1.53/1.83  % --res_sim_input                       true
% 1.53/1.83  % --clause_weak_htbl                    true
% 1.53/1.83  % --gc_record_bc_elim                   false
% 1.53/1.83  % --symbol_type_check                   false
% 1.53/1.83  % --clausify_out                        false
% 1.53/1.83  % --large_theory_mode                   false
% 1.53/1.83  % --prep_sem_filter                     none
% 1.53/1.83  % --prep_sem_filter_out                 false
% 1.53/1.83  % --preprocessed_out                    false
% 1.53/1.83  % --sub_typing                          false
% 1.53/1.83  % --brand_transform                     false
% 1.53/1.83  % --pure_diseq_elim                     true
% 1.53/1.83  % --min_unsat_core                      false
% 1.53/1.83  % --pred_elim                           true
% 1.53/1.83  % --add_important_lit                   false
% 1.53/1.83  % --soft_assumptions                    false
% 1.53/1.83  % --reset_solvers                       false
% 1.53/1.83  % --bc_imp_inh                          []
% 1.53/1.83  % --conj_cone_tolerance                 1.5
% 1.53/1.83  % --prolific_symb_bound                 500
% 1.53/1.83  % --lt_threshold                        2000
% 1.53/1.83  
% 1.53/1.83  % ------ SAT Options
% 1.53/1.83  
% 1.53/1.83  % --sat_mode                            false
% 1.53/1.83  % --sat_fm_restart_options              ""
% 1.53/1.83  % --sat_gr_def                          false
% 1.53/1.83  % --sat_epr_types                       true
% 1.53/1.83  % --sat_non_cyclic_types                false
% 1.53/1.83  % --sat_finite_models                   false
% 1.53/1.83  % --sat_fm_lemmas                       false
% 1.53/1.83  % --sat_fm_prep                         false
% 1.53/1.83  % --sat_fm_uc_incr                      true
% 1.53/1.83  % --sat_out_model                       small
% 1.53/1.83  % --sat_out_clauses                     false
% 1.53/1.83  
% 1.53/1.83  % ------ QBF Options
% 1.53/1.83  
% 1.53/1.83  % --qbf_mode                            false
% 1.53/1.83  % --qbf_elim_univ                       true
% 1.53/1.83  % --qbf_sk_in                           true
% 1.53/1.83  % --qbf_pred_elim                       true
% 1.53/1.83  % --qbf_split                           32
% 1.53/1.83  
% 1.53/1.83  % ------ BMC1 Options
% 1.53/1.83  
% 1.53/1.83  % --bmc1_incremental                    false
% 1.53/1.83  % --bmc1_axioms                         reachable_all
% 1.53/1.83  % --bmc1_min_bound                      0
% 1.53/1.83  % --bmc1_max_bound                      -1
% 1.53/1.83  % --bmc1_max_bound_default              -1
% 1.53/1.83  % --bmc1_symbol_reachability            true
% 1.53/1.83  % --bmc1_property_lemmas                false
% 1.53/1.83  % --bmc1_k_induction                    false
% 1.53/1.83  % --bmc1_non_equiv_states               false
% 1.53/1.83  % --bmc1_deadlock                       false
% 1.53/1.83  % --bmc1_ucm                            false
% 1.53/1.83  % --bmc1_add_unsat_core                 none
% 1.53/1.83  % --bmc1_unsat_core_children            false
% 1.53/1.83  % --bmc1_unsat_core_extrapolate_axioms  false
% 1.53/1.83  % --bmc1_out_stat                       full
% 1.53/1.83  % --bmc1_ground_init                    false
% 1.53/1.83  % --bmc1_pre_inst_next_state            false
% 1.53/1.83  % --bmc1_pre_inst_state                 false
% 1.53/1.83  % --bmc1_pre_inst_reach_state           false
% 1.53/1.83  % --bmc1_out_unsat_core                 false
% 1.53/1.83  % --bmc1_aig_witness_out                false
% 1.53/1.83  % --bmc1_verbose                        false
% 1.53/1.83  % --bmc1_dump_clauses_tptp              false
% 2.03/2.36  % --bmc1_dump_unsat_core_tptp           false
% 2.03/2.36  % --bmc1_dump_file                      -
% 2.03/2.36  % --bmc1_ucm_expand_uc_limit            128
% 2.03/2.36  % --bmc1_ucm_n_expand_iterations        6
% 2.03/2.36  % --bmc1_ucm_extend_mode                1
% 2.03/2.36  % --bmc1_ucm_init_mode                  2
% 2.03/2.36  % --bmc1_ucm_cone_mode                  none
% 2.03/2.36  % --bmc1_ucm_reduced_relation_type      0
% 2.03/2.36  % --bmc1_ucm_relax_model                4
% 2.03/2.36  % --bmc1_ucm_full_tr_after_sat          true
% 2.03/2.36  % --bmc1_ucm_expand_neg_assumptions     false
% 2.03/2.36  % --bmc1_ucm_layered_model              none
% 2.03/2.36  % --bmc1_ucm_max_lemma_size             10
% 2.03/2.36  
% 2.03/2.36  % ------ AIG Options
% 2.03/2.36  
% 2.03/2.36  % --aig_mode                            false
% 2.03/2.36  
% 2.03/2.36  % ------ Instantiation Options
% 2.03/2.36  
% 2.03/2.36  % --instantiation_flag                  true
% 2.03/2.36  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 2.03/2.36  % --inst_solver_per_active              750
% 2.03/2.36  % --inst_solver_calls_frac              0.5
% 2.03/2.36  % --inst_passive_queue_type             priority_queues
% 2.03/2.36  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 2.03/2.36  % --inst_passive_queues_freq            [25;2]
% 2.03/2.36  % --inst_dismatching                    true
% 2.03/2.36  % --inst_eager_unprocessed_to_passive   true
% 2.03/2.36  % --inst_prop_sim_given                 true
% 2.03/2.36  % --inst_prop_sim_new                   false
% 2.03/2.36  % --inst_orphan_elimination             true
% 2.03/2.36  % --inst_learning_loop_flag             true
% 2.03/2.36  % --inst_learning_start                 3000
% 2.03/2.36  % --inst_learning_factor                2
% 2.03/2.36  % --inst_start_prop_sim_after_learn     3
% 2.03/2.36  % --inst_sel_renew                      solver
% 2.03/2.36  % --inst_lit_activity_flag              true
% 2.03/2.36  % --inst_out_proof                      true
% 2.03/2.36  
% 2.03/2.36  % ------ Resolution Options
% 2.03/2.36  
% 2.03/2.36  % --resolution_flag                     true
% 2.03/2.36  % --res_lit_sel                         kbo_max
% 2.03/2.36  % --res_to_prop_solver                  none
% 2.03/2.36  % --res_prop_simpl_new                  false
% 2.03/2.36  % --res_prop_simpl_given                false
% 2.03/2.36  % --res_passive_queue_type              priority_queues
% 2.03/2.36  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 2.03/2.36  % --res_passive_queues_freq             [15;5]
% 2.03/2.36  % --res_forward_subs                    full
% 2.03/2.36  % --res_backward_subs                   full
% 2.03/2.36  % --res_forward_subs_resolution         true
% 2.03/2.36  % --res_backward_subs_resolution        true
% 2.03/2.36  % --res_orphan_elimination              false
% 2.03/2.36  % --res_time_limit                      1000.
% 2.03/2.36  % --res_out_proof                       true
% 2.03/2.36  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_be3b90.s
% 2.03/2.36  % --modulo                              true
% 2.03/2.36  
% 2.03/2.36  % ------ Combination Options
% 2.03/2.36  
% 2.03/2.36  % --comb_res_mult                       1000
% 2.03/2.36  % --comb_inst_mult                      300
% 2.03/2.36  % ------ 
% 2.03/2.36  
% 2.03/2.36  % ------ Parsing...% successful
% 2.03/2.36  
% 2.03/2.36  % ------ 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 % 
% 2.03/2.36  
% 2.03/2.36  % ------ Proving...
% 2.03/2.36  % ------ Problem Properties 
% 2.03/2.36  
% 2.03/2.36  % 
% 2.03/2.36  % EPR                                   false
% 2.03/2.36  % Horn                                  false
% 2.03/2.36  % Has equality                          true
% 2.03/2.36  
% 2.03/2.36  % % ------ Input Options Time Limit: Unbounded
% 2.03/2.36  
% 2.03/2.36  
% 2.03/2.36  Compiling...
% 2.03/2.36  Loading plugin: done.
% 2.03/2.36  Compiling...
% 2.03/2.36  Loading plugin: done.
% 2.03/2.36  Compiling...
% 2.03/2.36  Loading plugin: done.
% 2.03/2.36  Compiling...
% 2.03/2.36  Loading plugin: done.
% 2.03/2.36  % % ------ Current options:
% 2.03/2.36  
% 2.03/2.36  % ------ Input Options
% 2.03/2.36  
% 2.03/2.36  % --out_options                         all
% 2.03/2.36  % --tptp_safe_out                       true
% 2.03/2.36  % --problem_path                        ""
% 2.03/2.36  % --include_path                        ""
% 2.03/2.36  % --clausifier                          .//eprover
% 2.03/2.36  % --clausifier_options                  --tstp-format  
% 2.03/2.36  % --stdin                               false
% 2.03/2.36  % --dbg_backtrace                       false
% 2.03/2.36  % --dbg_dump_prop_clauses               false
% 2.03/2.36  % --dbg_dump_prop_clauses_file          -
% 2.03/2.36  % --dbg_out_stat                        false
% 2.03/2.36  
% 2.03/2.36  % ------ General Options
% 2.03/2.36  
% 2.03/2.36  % --fof                                 false
% 2.03/2.36  % --time_out_real                       150.
% 2.03/2.36  % --time_out_prep_mult                  0.2
% 2.03/2.36  % --time_out_virtual                    -1.
% 2.03/2.36  % --schedule                            none
% 2.03/2.36  % --ground_splitting                    input
% 2.03/2.36  % --splitting_nvd                       16
% 2.03/2.36  % --non_eq_to_eq                        false
% 2.03/2.36  % --prep_gs_sim                         true
% 2.03/2.36  % --prep_unflatten                      false
% 2.03/2.36  % --prep_res_sim                        true
% 2.03/2.36  % --prep_upred                          true
% 2.03/2.36  % --res_sim_input                       true
% 2.03/2.36  % --clause_weak_htbl                    true
% 2.03/2.36  % --gc_record_bc_elim                   false
% 2.03/2.36  % --symbol_type_check                   false
% 2.03/2.36  % --clausify_out                        false
% 2.03/2.36  % --large_theory_mode                   false
% 2.03/2.36  % --prep_sem_filter                     none
% 2.03/2.36  % --prep_sem_filter_out                 false
% 2.03/2.36  % --preprocessed_out                    false
% 2.03/2.36  % --sub_typing                          false
% 2.03/2.36  % --brand_transform                     false
% 2.03/2.36  % --pure_diseq_elim                     true
% 2.03/2.36  % --min_unsat_core                      false
% 2.03/2.36  % --pred_elim                           true
% 2.03/2.36  % --add_important_lit                   false
% 2.03/2.36  % --soft_assumptions                    false
% 2.03/2.36  % --reset_solvers                       false
% 2.03/2.36  % --bc_imp_inh                          []
% 2.03/2.36  % --conj_cone_tolerance                 1.5
% 2.03/2.36  % --prolific_symb_bound                 500
% 2.03/2.36  % --lt_threshold                        2000
% 2.03/2.36  
% 2.03/2.36  % ------ SAT Options
% 2.03/2.36  
% 2.03/2.36  % --sat_mode                            false
% 2.03/2.36  % --sat_fm_restart_options              ""
% 2.03/2.36  % --sat_gr_def                          false
% 2.03/2.36  % --sat_epr_types                       true
% 2.03/2.36  % --sat_non_cyclic_types                false
% 2.03/2.36  % --sat_finite_models                   false
% 2.03/2.36  % --sat_fm_lemmas                       false
% 2.03/2.36  % --sat_fm_prep                         false
% 2.03/2.36  % --sat_fm_uc_incr                      true
% 2.03/2.36  % --sat_out_model                       small
% 2.03/2.36  % --sat_out_clauses                     false
% 2.03/2.36  
% 2.03/2.36  % ------ QBF Options
% 2.03/2.36  
% 2.03/2.36  % --qbf_mode                            false
% 2.03/2.36  % --qbf_elim_univ                       true
% 2.03/2.36  % --qbf_sk_in                           true
% 2.03/2.36  % --qbf_pred_elim                       true
% 2.03/2.36  % --qbf_split                           32
% 2.03/2.36  
% 2.03/2.36  % ------ BMC1 Options
% 2.03/2.36  
% 2.03/2.36  % --bmc1_incremental                    false
% 2.03/2.36  % --bmc1_axioms                         reachable_all
% 2.03/2.36  % --bmc1_min_bound                      0
% 2.03/2.36  % --bmc1_max_bound                      -1
% 2.03/2.36  % --bmc1_max_bound_default              -1
% 2.03/2.36  % --bmc1_symbol_reachability            true
% 2.03/2.36  % --bmc1_property_lemmas                false
% 2.03/2.36  % --bmc1_k_induction                    false
% 2.03/2.36  % --bmc1_non_equiv_states               false
% 2.03/2.36  % --bmc1_deadlock                       false
% 2.03/2.36  % --bmc1_ucm                            false
% 2.03/2.36  % --bmc1_add_unsat_core                 none
% 2.03/2.36  % --bmc1_unsat_core_children            false
% 2.03/2.36  % --bmc1_unsat_core_extrapolate_axioms  false
% 2.03/2.36  % --bmc1_out_stat                       full
% 2.03/2.36  % --bmc1_ground_init                    false
% 2.03/2.36  % --bmc1_pre_inst_next_state            false
% 2.03/2.36  % --bmc1_pre_inst_state                 false
% 2.03/2.36  % --bmc1_pre_inst_reach_state           false
% 2.03/2.36  % --bmc1_out_unsat_core                 false
% 2.03/2.36  % --bmc1_aig_witness_out                false
% 2.03/2.36  % --bmc1_verbose                        false
% 2.03/2.36  % --bmc1_dump_clauses_tptp              false
% 2.03/2.36  % --bmc1_dump_unsat_core_tptp           false
% 2.03/2.36  % --bmc1_dump_file                      -
% 2.03/2.36  % --bmc1_ucm_expand_uc_limit            128
% 2.03/2.36  % --bmc1_ucm_n_expand_iterations        6
% 2.03/2.36  % --bmc1_ucm_extend_mode                1
% 2.03/2.36  % --bmc1_ucm_init_mode                  2
% 2.03/2.36  % --bmc1_ucm_cone_mode                  none
% 2.03/2.36  % --bmc1_ucm_reduced_relation_type      0
% 2.03/2.36  % --bmc1_ucm_relax_model                4
% 2.03/2.36  % --bmc1_ucm_full_tr_after_sat          true
% 2.03/2.36  % --bmc1_ucm_expand_neg_assumptions     false
% 2.03/2.36  % --bmc1_ucm_layered_model              none
% 2.03/2.36  % --bmc1_ucm_max_lemma_size             10
% 2.03/2.36  
% 2.03/2.36  % ------ AIG Options
% 2.03/2.36  
% 2.03/2.36  % --aig_mode                            false
% 2.03/2.36  
% 2.03/2.36  % ------ Instantiation Options
% 2.03/2.36  
% 2.03/2.36  % --instantiation_flag                  true
% 2.03/2.36  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 2.03/2.36  % --inst_solver_per_active              750
% 2.03/2.36  % --inst_solver_calls_frac              0.5
% 2.03/2.36  % --inst_passive_queue_type             priority_queues
% 2.03/2.36  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 2.03/2.36  % --inst_passive_queues_freq            [25;2]
% 2.03/2.36  % --inst_dismatching                    true
% 2.03/2.36  % --inst_eager_unprocessed_to_passive   true
% 2.03/2.36  % --inst_prop_sim_given                 true
% 2.03/2.36  % --inst_prop_sim_new                   false
% 2.03/2.36  % --inst_orphan_elimination             true
% 2.03/2.36  % --inst_learning_loop_flag             true
% 2.03/2.36  % --inst_learning_start                 3000
% 2.03/2.36  % --inst_learning_factor                2
% 2.03/2.36  % --inst_start_prop_sim_after_learn     3
% 2.03/2.36  % --inst_sel_renew                      solver
% 2.03/2.36  % --inst_lit_activity_flag              true
% 2.03/2.36  % --inst_out_proof                      true
% 2.03/2.36  
% 2.03/2.36  % ------ Resolution Options
% 2.03/2.36  
% 2.03/2.36  % --resolution_flag                     true
% 2.03/2.36  % --res_lit_sel                         kbo_max
% 2.03/2.36  % --res_to_prop_solver                  none
% 2.03/2.36  % --res_prop_simpl_new                  false
% 2.03/2.36  % --res_prop_simpl_given                false
% 2.03/2.36  % --res_passive_queue_type              priority_queues
% 2.03/2.36  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 2.03/2.36  % --res_passive_queues_freq             [15;5]
% 2.03/2.36  % --res_forward_subs                    full
% 2.03/2.36  % --res_backward_subs                   full
% 2.03/2.36  % --res_forward_subs_resolution         true
% 2.03/2.36  % --res_backward_subs_resolution        true
% 2.03/2.36  % --res_orphan_elimination              false
% 2.03/2.36  % --res_time_limit                      1000.
% 2.03/2.36  % --res_out_proof                       true
% 2.03/2.36  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_be3b90.s
% 2.03/2.36  % --modulo                              true
% 2.03/2.36  
% 2.03/2.36  % ------ Combination Options
% 2.03/2.36  
% 2.03/2.36  % --comb_res_mult                       1000
% 2.03/2.36  % --comb_inst_mult                      300
% 2.03/2.36  % ------ 
% 2.03/2.36  
% 2.03/2.36  
% 2.03/2.36  
% 2.03/2.36  % ------ Proving...
% 2.03/2.36  % warning:  shown sat in sat incomplete mode 
% 2.03/2.36  % 
% 2.03/2.36  
% 2.03/2.36  
% 2.03/2.36  
% 2.03/2.36  
% 2.03/2.36  cnf(c_1232,negated_conjecture,
% 2.03/2.36      ( c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.03/2.36      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_4) ).
% 2.03/2.36  
% 2.03/2.36  cnf(c_1577,negated_conjecture,
% 2.03/2.36      ( c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.03/2.36      inference(copy,[status(esa)],[c_1232]) ).
% 2.03/2.36  
% 2.03/2.36  cnf(c_1581,negated_conjecture,
% 2.03/2.36      ( c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.03/2.36      inference(copy,[status(esa)],[c_1577]) ).
% 2.03/2.36  
% 2.03/2.36  cnf(c_1582,negated_conjecture,
% 2.03/2.36      ( c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.03/2.36      inference(copy,[status(esa)],[c_1581]) ).
% 2.03/2.36  
% 2.03/2.36  cnf(c_1583,negated_conjecture,
% 2.03/2.36      ( c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.03/2.36      inference(copy,[status(esa)],[c_1582]) ).
% 2.03/2.36  
% 2.03/2.36  cnf(c_5262,negated_conjecture,
% 2.03/2.36      ( c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.03/2.36      inference(copy,[status(esa)],[c_1583]) ).
% 2.03/2.36  
% 2.03/2.36  cnf(c_84,plain,
% 2.03/2.36      ( c_Transcendental_Osin(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.03/2.36      | c_Transcendental_Ocos(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.03/2.36      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2315_1) ).
% 2.03/2.36  
% 2.03/2.36  cnf(c_2966,plain,
% 2.03/2.36      ( c_Transcendental_Osin(X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.03/2.36      | c_Transcendental_Ocos(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.03/2.36      inference(copy,[status(esa)],[c_84]) ).
% 2.03/2.36  
% 2.03/2.36  cnf(c_5266,plain,
% 2.03/2.36      ( c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.03/2.36      inference(resolution,[status(thm)],[c_5262,c_2966]) ).
% 2.03/2.36  
% 2.03/2.36  cnf(c_5267,plain,
% 2.03/2.36      ( c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.03/2.36      inference(rewriting,[status(thm)],[c_5266]) ).
% 2.03/2.36  
% 2.03/2.36  cnf(c_122,plain,
% 2.03/2.36      ( c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X0),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.03/2.36      | c_Transcendental_Osin(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.03/2.36      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2292_1) ).
% 2.03/2.36  
% 2.03/2.36  cnf(c_3042,plain,
% 2.03/2.36      ( c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X0),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.03/2.36      | c_Transcendental_Osin(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.03/2.36      inference(copy,[status(esa)],[c_122]) ).
% 2.03/2.36  
% 2.03/2.36  cnf(c_3043,plain,
% 2.03/2.36      ( c_Transcendental_Osin(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.03/2.36      | c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X0),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_3042]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5270,plain,
% 2.03/2.37      ( c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(v_x),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.03/2.37      inference(resolution,[status(thm)],[c_5267,c_3043]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5271,plain,
% 2.03/2.37      ( c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(v_x),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5270]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1226,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 2.03/2.37      | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1900_5) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5250,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X3,X2)
% 2.03/2.37      | ~ c_lessequals(X0,c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),X0,X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1226]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5251,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5250]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1220,plain,
% 2.03/2.37      ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 2.03/2.37      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1901_5) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5238,plain,
% 2.03/2.37      ( c_lessequals(X0,c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X3),X1,X3)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 2.03/2.37      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X3),X3)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X3) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1220]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5239,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.37      | c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5238]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1218,plain,
% 2.03/2.37      ( ~ class_Divides_Osemiring__div(X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.03/2.37      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X4,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X3,X4,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1902_1) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5234,plain,
% 2.03/2.37      ( ~ class_Divides_Osemiring__div(X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.03/2.37      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X4,X1,X0),X0) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X3,X4,X0),c_Divides_Odiv__class_Odiv(X2,X1,X0),X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X3,X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1218]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5235,plain,
% 2.03/2.37      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)
% 2.03/2.37      | ~ class_Divides_Osemiring__div(X2)
% 2.03/2.37      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X4,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X4,X3,X2),c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5234]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1216,plain,
% 2.03/2.37      ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X4,X2),X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X1,X2)
% 2.03/2.37      | ~ class_Divides_Osemiring__div(X2) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1902_3) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5230,plain,
% 2.03/2.37      ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X4,X2),X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X4,X1,X2)
% 2.03/2.37      | ~ class_Divides_Osemiring__div(X2) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1216]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5231,plain,
% 2.03/2.37      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X2)
% 2.03/2.37      | ~ class_Divides_Osemiring__div(X2)
% 2.03/2.37      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X0,X2),c_Divides_Odiv__class_Odiv(X4,X3,X2),X2) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5230]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1215,plain,
% 2.03/2.37      ( ~ class_Divides_Osemiring__div(X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 2.03/2.37      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1903_0) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5228,plain,
% 2.03/2.37      ( ~ class_Divides_Osemiring__div(X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0)
% 2.03/2.37      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1215]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5229,plain,
% 2.03/2.37      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 2.03/2.37      | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.03/2.37      | ~ class_Divides_Osemiring__div(X2) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5228]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1214,plain,
% 2.03/2.37      ( ~ class_Divides_Osemiring__div(X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 2.03/2.37      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1903_1) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5226,plain,
% 2.03/2.37      ( ~ class_Divides_Osemiring__div(X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X2,X0),c_Divides_Odiv__class_Odiv(X3,X2,X0),X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 2.03/2.37      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X1,X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1214]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5227,plain,
% 2.03/2.37      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 2.03/2.37      | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 2.03/2.37      | ~ class_Divides_Osemiring__div(X2) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5226]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1211,plain,
% 2.03/2.37      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X3,X2),X2)
% 2.03/2.37      | ~ class_Divides_Osemiring__div(X2) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1903_4) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5220,plain,
% 2.03/2.37      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X3,X2),c_Divides_Odiv__class_Odiv(X1,X3,X2),X2)
% 2.03/2.37      | ~ class_Divides_Osemiring__div(X2) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1211]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5221,plain,
% 2.03/2.37      ( ~ c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 2.03/2.37      | c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 2.03/2.37      | ~ class_Divides_Osemiring__div(X2) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5220]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1205,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | ~ c_lessequals(X1,X3,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 2.03/2.37      | ~ c_lessequals(X2,X4,X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1906_1) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5208,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | ~ c_lessequals(X1,X3,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 2.03/2.37      | ~ c_lessequals(X2,X4,X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1205]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5209,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.03/2.37      | ~ c_lessequals(X1,X4,X0)
% 2.03/2.37      | ~ c_lessequals(X2,X3,X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5208]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1201,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.03/2.37      | ~ c_lessequals(X0,X3,X2)
% 2.03/2.37      | ~ c_lessequals(X1,X4,X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1906_5) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5200,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.03/2.37      | ~ c_lessequals(X0,X3,X2)
% 2.03/2.37      | ~ c_lessequals(X1,X4,X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1201]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5201,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.03/2.37      | ~ c_lessequals(X1,X3,X0)
% 2.03/2.37      | ~ c_lessequals(X2,X4,X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5200]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1199,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | ~ c_lessequals(X1,X3,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 2.03/2.37      | ~ c_lessequals(X4,X2,X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1907_1) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5196,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | ~ c_lessequals(X1,X3,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 2.03/2.37      | ~ c_lessequals(X4,X2,X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1199]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5197,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 2.03/2.37      | ~ c_lessequals(X1,X4,X0)
% 2.03/2.37      | ~ c_lessequals(X3,X2,X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5196]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1195,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.03/2.37      | ~ c_lessequals(X0,X3,X2)
% 2.03/2.37      | ~ c_lessequals(X1,X4,X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1907_5) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5188,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.03/2.37      | ~ c_lessequals(X0,X3,X2)
% 2.03/2.37      | ~ c_lessequals(X1,X4,X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1195]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5189,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X1,X4,X0),X0)
% 2.03/2.37      | ~ c_lessequals(X3,X1,X0)
% 2.03/2.37      | ~ c_lessequals(X2,X4,X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5188]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1192,plain,
% 2.03/2.37      ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X3,X2),c_HOL_Oinverse__class_Odivide(X1,X4,X2),X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Ofield(X2) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1908_2) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5182,plain,
% 2.03/2.37      ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X3,X2),c_HOL_Oinverse__class_Odivide(X1,X4,X2),X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Ofield(X2) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1192]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5183,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.37      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X3,X0),c_HOL_Oinverse__class_Odivide(X2,X4,X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5182]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1188,plain,
% 2.03/2.37      ( ~ class_Divides_Osemiring__div(X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 2.03/2.37      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1910_1) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5174,plain,
% 2.03/2.37      ( ~ class_Divides_Osemiring__div(X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 2.03/2.37      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1188]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5175,plain,
% 2.03/2.37      ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 2.03/2.37      | ~ class_Divides_Osemiring__div(X2) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5174]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1187,plain,
% 2.03/2.37      ( ~ class_Divides_Osemiring__div(X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.03/2.37      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1910_2) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5172,plain,
% 2.03/2.37      ( ~ class_Divides_Osemiring__div(X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.03/2.37      | c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X1,X3,X0),c_Divides_Odiv__class_Odiv(X2,X3,X0),X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1187]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5173,plain,
% 2.03/2.37      ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 2.03/2.37      | ~ class_Divides_Osemiring__div(X2) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5172]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1182,plain,
% 2.03/2.37      ( c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X0,X3,X2),X1,X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 2.03/2.37      | ~ class_Divides_Osemiring__div(X2) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1911_2) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5162,plain,
% 2.03/2.37      ( c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X0,X3,X2),X1,X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 2.03/2.37      | ~ class_Divides_Osemiring__div(X2) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1182]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5163,plain,
% 2.03/2.37      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.37      | ~ class_Divides_Osemiring__div(X2)
% 2.03/2.37      | c_Divides_Odiv__class_Odiv(c_Power_Opower__class_Opower(X1,X3,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2) = c_Power_Opower__class_Opower(c_Divides_Odiv__class_Odiv(X1,X0,X2),X3,X2) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5162]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1161,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 2.03/2.37      | ~ c_lessequals(X0,X3,X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1917_4) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5120,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 2.03/2.37      | ~ c_lessequals(X0,X3,X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1161]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5121,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Oinverse__class_Odivide(X3,X1,X0),X0)
% 2.03/2.37      | ~ c_lessequals(X2,X3,X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5120]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1156,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 2.03/2.37      | ~ c_lessequals(X3,X0,X2)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1918_4) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5110,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
% 2.03/2.37      | ~ c_lessequals(X3,X0,X2)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1156]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5111,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Oinverse__class_Odivide(X3,X2,X0),X0)
% 2.03/2.37      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ c_lessequals(X3,X1,X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5110]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1136,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.03/2.37      | ~ c_lessequals(X3,X1,X2)
% 2.03/2.37      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1923_3) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5070,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.03/2.37      | ~ c_lessequals(X3,X1,X2)
% 2.03/2.37      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1136]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5071,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.03/2.37      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ c_lessequals(X3,X2,X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5070]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1132,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.03/2.37      | ~ c_lessequals(X3,X0,X2)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1924_3) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5062,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.03/2.37      | ~ c_lessequals(X3,X0,X2)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1132]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5063,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.03/2.37      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.03/2.37      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ c_lessequals(X3,X1,X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5062]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1130,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1925_1) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5058,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1130]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5059,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X2,X0)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5058]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1127,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1925_4) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5052,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X0,X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X2),X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1127]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5053,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5052]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1125,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1926_1) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5048,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1125]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5049,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5048]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1122,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.03/2.37      | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1926_4) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5042,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.03/2.37      | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(X2),X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1122]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5043,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5042]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1120,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.03/2.37      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1927_1) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5038,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.03/2.37      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X4,X2,X0),X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X4,X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1120]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5039,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.37      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5038]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1112,plain,
% 2.03/2.37      ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,X2),X1,X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Ofield(X2) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1929_2) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5022,plain,
% 2.03/2.37      ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X0,X3,X2),X1,X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Ofield(X2) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1112]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_5023,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.37      | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_5022]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1099,plain,
% 2.03/2.37      ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 2.03/2.37      | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1934_3) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4996,plain,
% 2.03/2.37      ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 2.03/2.37      | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1099]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4997,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_4996]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1095,plain,
% 2.03/2.37      ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 2.03/2.37      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.37      | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1935_3) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4988,plain,
% 2.03/2.37      ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 2.03/2.37      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.37      | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1095]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4989,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_4988]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1087,plain,
% 2.03/2.37      ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 2.03/2.37      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.37      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.37      | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1937_3) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4972,plain,
% 2.03/2.37      ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 2.03/2.37      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.37      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.37      | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1087]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4973,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_4972]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1084,plain,
% 2.03/2.37      ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X3,X2),X1,X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 2.03/2.37      | ~ class_Divides_Osemiring__div(X2) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1938_2) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4966,plain,
% 2.03/2.37      ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X3,X2),X1,X2)
% 2.03/2.37      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X0,X2)
% 2.03/2.37      | ~ class_Divides_Osemiring__div(X2) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1084]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4967,plain,
% 2.03/2.37      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.37      | ~ class_Divides_Osemiring__div(X2)
% 2.03/2.37      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X3,X2),X0,X2) = c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X0,X2),X3,X2) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_4966]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1079,plain,
% 2.03/2.37      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1939_4) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4956,plain,
% 2.03/2.37      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1079]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4957,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_4956]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1078,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1940_0) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4954,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1078]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4955,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_4954]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1074,plain,
% 2.03/2.37      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.37      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1940_4) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4946,plain,
% 2.03/2.37      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.37      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1074]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4947,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_4946]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1073,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1941_0) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4944,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1073]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4945,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_4944]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1069,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1941_4) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4936,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1069]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4937,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_4936]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1064,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1942_4) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4926,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1064]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4927,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_4926]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1059,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1943_4) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4916,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1059]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4917,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_4916]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1054,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1944_4) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4906,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1054]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4907,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_4906]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1049,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1945_4) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4896,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1049]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4897,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_4896]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1044,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1946_4) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4886,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1044]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4887,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_4886]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1024,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1951_3) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4846,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1024]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4847,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_4846]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1023,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1952_0) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4844,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1023]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4845,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_4844]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1012,plain,
% 2.03/2.37      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1954_3) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4822,plain,
% 2.03/2.37      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1012]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4823,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_4822]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1010,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 2.03/2.37      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1956_1) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4818,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 2.03/2.37      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1010]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4819,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.03/2.37      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_4818]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1007,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1956_4) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4812,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1007]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4813,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_4812]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1005,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1957_1) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4808,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X2,X1,X0),X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1005]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4809,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_4808]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_1002,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1957_4) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4802,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_1002]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4803,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_4802]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_997,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1958_4) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4792,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_997]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4793,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_4792]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_992,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.37      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1959_4) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4782,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Oinverse__class_Odivide(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.37      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_992]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4783,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.37      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.37      | c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.37      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.37      inference(rewriting,[status(thm)],[c_4782]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_972,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 2.03/2.37      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1964_3) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4742,plain,
% 2.03/2.37      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.03/2.37      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.37      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 2.03/2.37      inference(copy,[status(esa)],[c_972]) ).
% 2.03/2.37  
% 2.03/2.37  cnf(c_4743,plain,
% 2.03/2.37      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 2.03/2.37      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.38      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.38      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4742]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_964,plain,
% 2.03/2.38      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.03/2.38      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1966_3) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4726,plain,
% 2.03/2.38      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.03/2.38      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_964]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4727,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.38      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.38      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4726]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_962,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.38      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1967_1) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4722,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.38      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_962]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4723,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.03/2.38      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4722]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_954,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.03/2.38      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.38      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.03/2.38      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1969_1) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4706,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.03/2.38      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.38      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.03/2.38      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_954]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4707,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.03/2.38      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.38      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.38      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4706]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_950,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.38      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1970_1) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4698,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.38      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_950]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4699,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.38      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4698]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_946,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.38      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.38      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.03/2.38      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1971_1) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4690,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.38      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.38      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.03/2.38      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_946]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4691,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.38      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.38      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.38      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4690]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_942,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.38      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1972_1) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4682,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.38      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_942]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4683,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 2.03/2.38      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4682]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_927,plain,
% 2.03/2.38      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1976_3) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4652,plain,
% 2.03/2.38      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_927]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4653,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 2.03/2.38      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4652]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_923,plain,
% 2.03/2.38      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1977_3) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4644,plain,
% 2.03/2.38      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_923]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4645,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.38      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4644]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_920,plain,
% 2.03/2.38      ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X0) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1978_2) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4638,plain,
% 2.03/2.38      ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X0) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_920]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4639,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.38      | c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X2,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4638]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_916,plain,
% 2.03/2.38      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.38      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1979_3) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4630,plain,
% 2.03/2.38      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.38      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_916]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4631,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X3,X0)
% 2.03/2.38      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4630]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_912,plain,
% 2.03/2.38      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.38      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1980_3) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4622,plain,
% 2.03/2.38      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.38      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X3,X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_912]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4623,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X3,X0)
% 2.03/2.38      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4622]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_905,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X3,X2),X1,X2)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X2) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1982_2) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4608,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X0,X3,X2),X1,X2)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X2) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_905]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4609,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4608]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_836,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.38      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 2.03/2.38      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 2.03/2.38      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2013_1) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4470,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.38      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 2.03/2.38      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 2.03/2.38      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_836]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4471,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.38      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 2.03/2.38      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.38      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4470]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_831,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 2.03/2.38      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.38      | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 2.03/2.38      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2014_1) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4460,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oinverse__class_Odivide(X3,X4,X0)
% 2.03/2.38      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.38      | c_HOL_Otimes__class_Otimes(X1,X4,X0) = c_HOL_Otimes__class_Otimes(X3,X2,X0)
% 2.03/2.38      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_831]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4461,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.38      | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 2.03/2.38      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.38      | X4 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4460]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_828,plain,
% 2.03/2.38      ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X3,X4,X2)
% 2.03/2.38      | X4 = c_HOL_Ozero__class_Ozero(X2)
% 2.03/2.38      | X1 = c_HOL_Ozero__class_Ozero(X2)
% 2.03/2.38      | c_HOL_Oinverse__class_Odivide(X0,X4,X2) != c_HOL_Oinverse__class_Odivide(X3,X1,X2)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X2) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2014_4) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4454,plain,
% 2.03/2.38      ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X3,X4,X2)
% 2.03/2.38      | X4 = c_HOL_Ozero__class_Ozero(X2)
% 2.03/2.38      | X1 = c_HOL_Ozero__class_Ozero(X2)
% 2.03/2.38      | c_HOL_Oinverse__class_Odivide(X0,X4,X2) != c_HOL_Oinverse__class_Odivide(X3,X1,X2)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X2) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_828]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4455,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.38      | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) != c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 2.03/2.38      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.38      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4454]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_825,plain,
% 2.03/2.38      ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X0,X1,X2),X2)
% 2.03/2.38      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 2.03/2.38      | ~ class_Divides_Oring__div(X2) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2015_2) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4448,plain,
% 2.03/2.38      ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X0,X1,X2),X2)
% 2.03/2.38      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 2.03/2.38      | ~ class_Divides_Oring__div(X2) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_825]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4449,plain,
% 2.03/2.38      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.38      | ~ class_Divides_Oring__div(X2)
% 2.03/2.38      | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4448]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_822,plain,
% 2.03/2.38      ( c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X0,X2,X1),X1)
% 2.03/2.38      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,X1)
% 2.03/2.38      | ~ class_Divides_Oring__div(X1) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2016_2) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4442,plain,
% 2.03/2.38      ( c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X0,X2,X1),X1)
% 2.03/2.38      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X0,X1)
% 2.03/2.38      | ~ class_Divides_Oring__div(X1) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_822]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4443,plain,
% 2.03/2.38      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.38      | ~ class_Divides_Oring__div(X2)
% 2.03/2.38      | c_Divides_Odiv__class_Odiv(c_HOL_Ouminus__class_Ouminus(X1,X2),X0,X2) = c_HOL_Ouminus__class_Ouminus(c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4442]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_818,plain,
% 2.03/2.38      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2017_3) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4434,plain,
% 2.03/2.38      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_818]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4435,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.38      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4434]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_814,plain,
% 2.03/2.38      ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.38      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2018_3) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4426,plain,
% 2.03/2.38      ( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.38      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_814]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4427,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.38      | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.38      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4426]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_811,plain,
% 2.03/2.38      ( c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.03/2.38      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2019_2) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4420,plain,
% 2.03/2.38      ( c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.03/2.38      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_811]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4421,plain,
% 2.03/2.38      ( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.03/2.38      | c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.03/2.38      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4420]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_803,plain,
% 2.03/2.38      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.38      | c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2021_4) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4404,plain,
% 2.03/2.38      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.38      | c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_803]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4405,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.38      | c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.03/2.38      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4404]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_784,plain,
% 2.03/2.38      ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2) = X0
% 2.03/2.38      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 2.03/2.38      | ~ class_Divides_Osemiring__div(X2) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2028_2) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4366,plain,
% 2.03/2.38      ( c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X0,X1,X2),X1,X2) = X0
% 2.03/2.38      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 2.03/2.38      | ~ class_Divides_Osemiring__div(X2) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_784]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4367,plain,
% 2.03/2.38      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.38      | ~ class_Divides_Osemiring__div(X2)
% 2.03/2.38      | c_HOL_Otimes__class_Otimes(c_Divides_Odiv__class_Odiv(X1,X0,X2),X0,X2) = X1 ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4366]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_781,plain,
% 2.03/2.38      ( c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = X1
% 2.03/2.38      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.38      | ~ class_Divides_Osemiring__div(X2) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2029_2) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4360,plain,
% 2.03/2.38      ( c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = X1
% 2.03/2.38      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.38      | ~ class_Divides_Osemiring__div(X2) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_781]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4361,plain,
% 2.03/2.38      ( ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.38      | ~ class_Divides_Osemiring__div(X2)
% 2.03/2.38      | c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,X2),X2) = X1 ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4360]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_768,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2033_2) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4334,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_768]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4335,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4334]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_765,plain,
% 2.03/2.38      ( 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)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2034_2) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4328,plain,
% 2.03/2.38      ( 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)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_765]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4329,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.38      | 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) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4328]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_725,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X2)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X2) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2049_2) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4248,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X2)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X2) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_725]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4249,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4248]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_722,plain,
% 2.03/2.38      ( 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)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2050_2) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4242,plain,
% 2.03/2.38      ( 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)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_722]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4243,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.03/2.38      | 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) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4242]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_697,plain,
% 2.03/2.38      ( c_lessequals(X0,c_HOL_Oone__class_Oone(X1),X1)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2058_3) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4192,plain,
% 2.03/2.38      ( c_lessequals(X0,c_HOL_Oone__class_Oone(X1),X1)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_697]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4193,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.03/2.38      | c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4192]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_693,plain,
% 2.03/2.38      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2059_3) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4184,plain,
% 2.03/2.38      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_693]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4185,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.38      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4184]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_689,plain,
% 2.03/2.38      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2060_3) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4176,plain,
% 2.03/2.38      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_689]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4177,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.03/2.38      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4176]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_648,plain,
% 2.03/2.38      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2078_3) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4094,plain,
% 2.03/2.38      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Oone__class_Oone(X1),X0,X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_648]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4095,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.03/2.38      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4094]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_644,plain,
% 2.03/2.38      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.38      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2079_3) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4086,plain,
% 2.03/2.38      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.38      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_644]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4087,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.38      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.38      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4086]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_640,plain,
% 2.03/2.38      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 2.03/2.38      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2080_3) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4078,plain,
% 2.03/2.38      ( c_lessequals(c_HOL_Oinverse__class_Oinverse(X0,X1),c_HOL_Oone__class_Oone(X1),X1)
% 2.03/2.38      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_640]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4079,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.38      | c_lessequals(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.03/2.38      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4078]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_636,plain,
% 2.03/2.38      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2081_3) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4070,plain,
% 2.03/2.38      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_636]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4071,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.38      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4070]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_612,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X0) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2089_2) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4022,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X0) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_612]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4023,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4022]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_603,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X0,X2)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X2) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2092_2) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4004,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X0,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X1,X0,X2)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X2) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_603]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_4005,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X2,X1,X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_4004]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_558,plain,
% 2.03/2.38      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.38      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X0,X1) = X2
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2106_3) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3914,plain,
% 2.03/2.38      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.38      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X0,X1) = X2
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_558]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3915,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.38      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X2,X0) = X1
% 2.03/2.38      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_3914]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_535,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Oinverse__class_Odivide(X0,X2,X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2112_2) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3868,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1) = c_HOL_Oinverse__class_Odivide(X0,X2,X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_535]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3869,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_3868]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_495,plain,
% 2.03/2.38      ( X0 = X1
% 2.03/2.38      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.03/2.38      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2127_2) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3788,plain,
% 2.03/2.38      ( X0 = X1
% 2.03/2.38      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.03/2.38      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_495]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3789,plain,
% 2.03/2.38      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.03/2.38      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
% 2.03/2.38      | X0 = X1 ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_3788]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_431,plain,
% 2.03/2.38      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.38      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.38      | ~ class_Power_Opower(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Omult__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2156_5) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3660,plain,
% 2.03/2.38      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.38      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.38      | ~ class_Power_Opower(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Omult__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_431]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3661,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Omult__zero(X0)
% 2.03/2.38      | ~ class_Power_Opower(X0)
% 2.03/2.38      | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.38      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_3660]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_353,plain,
% 2.03/2.38      ( c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2187_2) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3504,plain,
% 2.03/2.38      ( c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_353]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3505,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.38      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_3504]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_350,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2188_2) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3498,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_350]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3499,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_3498]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_324,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X0) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2200_2) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3446,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X0) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_324]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3447,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_3446]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_309,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2208_2) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3416,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_309]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3417,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_3416]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_231,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 2.03/2.38      | X1 = X2
% 2.03/2.38      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.38      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2245_0) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3260,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 2.03/2.38      | X1 = X2
% 2.03/2.38      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.38      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_231]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3261,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 2.03/2.38      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.38      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.38      | X1 = X2 ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_3260]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_205,plain,
% 2.03/2.38      ( X0 = X1
% 2.03/2.38      | c_HOL_Oinverse__class_Oinverse(X0,X2) != c_HOL_Oinverse__class_Oinverse(X1,X2)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__ring(X2) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2258_3) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3208,plain,
% 2.03/2.38      ( X0 = X1
% 2.03/2.38      | c_HOL_Oinverse__class_Oinverse(X0,X2) != c_HOL_Oinverse__class_Oinverse(X1,X2)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__ring(X2) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_205]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3209,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 2.03/2.38      | X1 = X2 ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_3208]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_198,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2262_2) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3194,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_198]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3195,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1 ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_3194]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_179,plain,
% 2.03/2.38      ( X0 = c_HOL_Oone__class_Oone(X1)
% 2.03/2.38      | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oone__class_Oone(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2269_3) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3156,plain,
% 2.03/2.38      ( X0 = c_HOL_Oone__class_Oone(X1)
% 2.03/2.38      | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oone__class_Oone(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_179]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3157,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oone__class_Oone(X0)
% 2.03/2.38      | X1 = c_HOL_Oone__class_Oone(X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_3156]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_136,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X0) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2287_2) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3070,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X0) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_136]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3071,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_3070]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_133,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2288_2) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3064,plain,
% 2.03/2.38      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_133]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_3065,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.03/2.38      | ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.03/2.38      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_3064]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_1209,plain,
% 2.03/2.38      ( 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)
% 2.03/2.38      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1904_1) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_5216,plain,
% 2.03/2.38      ( 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)
% 2.03/2.38      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_1209]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_5217,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.38      | 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) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_5216]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_1207,plain,
% 2.03/2.38      ( 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)
% 2.03/2.38      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1905_1) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_5212,plain,
% 2.03/2.38      ( 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)
% 2.03/2.38      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_1207]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_5213,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.38      | 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) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_5212]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_1203,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.38      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.03/2.38      | ~ c_lessequals(X2,X3,X0)
% 2.03/2.38      | ~ c_lessequals(X1,X4,X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1906_3) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_5204,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.38      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.03/2.38      | ~ c_lessequals(X2,X3,X0)
% 2.03/2.38      | ~ c_lessequals(X1,X4,X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_1203]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_5205,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.38      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.03/2.38      | ~ c_lessequals(X2,X3,X0)
% 2.03/2.38      | ~ c_lessequals(X1,X4,X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_5204]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_1197,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.38      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.03/2.38      | ~ c_lessequals(X2,X3,X0)
% 2.03/2.38      | ~ c_lessequals(X1,X4,X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1907_3) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_5192,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.38      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.03/2.38      | ~ c_lessequals(X2,X3,X0)
% 2.03/2.38      | ~ c_lessequals(X1,X4,X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_1197]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_5193,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.38      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.38      | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 2.03/2.38      | ~ c_lessequals(X3,X2,X0)
% 2.03/2.38      | ~ c_lessequals(X1,X4,X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_5192]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_1190,plain,
% 2.03/2.38      ( 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)
% 2.03/2.38      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1909_1) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_5178,plain,
% 2.03/2.38      ( 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)
% 2.03/2.38      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_1190]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_5179,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.38      | 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) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_5178]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_1185,plain,
% 2.03/2.38      ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 2.03/2.38      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 2.03/2.38      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 2.03/2.38      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.03/2.38      | ~ class_Divides_Osemiring__div(X2) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1910_4) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_5168,plain,
% 2.03/2.38      ( c_Ring__and__Field_Odvd__class_Odvd(c_Divides_Odiv__class_Odiv(X0,X1,X2),c_Divides_Odiv__class_Odiv(X3,X1,X2),X2)
% 2.03/2.38      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X0,X2)
% 2.03/2.38      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 2.03/2.38      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.03/2.38      | ~ class_Divides_Osemiring__div(X2) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_1185]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_1180,plain,
% 2.03/2.38      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 2.03/2.38      | ~ class_Ring__and__Field_Olordered__ring(X2) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1912_1) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_5158,plain,
% 2.03/2.38      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2),X2)
% 2.03/2.38      | ~ class_Ring__and__Field_Olordered__ring(X2) ),
% 2.03/2.38      inference(copy,[status(esa)],[c_1180]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_5159,plain,
% 2.03/2.38      ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 2.03/2.38      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0),X0) ),
% 2.03/2.38      inference(rewriting,[status(thm)],[c_5158]) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_1178,plain,
% 2.03/2.38      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X0,X2),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.38      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 2.03/2.38      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1913_1) ).
% 2.03/2.38  
% 2.03/2.38  cnf(c_5154,plain,
% 2.03/2.38      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X0,X1,X2),X2),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X0,X2),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.39      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1178]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5155,plain,
% 2.03/2.39      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.03/2.39      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_5154]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_1174,plain,
% 2.03/2.39      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.39      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 2.03/2.39      | ~ class_Ring__and__Field_Oidom(X1) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1914_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5146,plain,
% 2.03/2.39      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.39      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 2.03/2.39      | ~ class_Ring__and__Field_Oidom(X1) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1174]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5147,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.03/2.39      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0)
% 2.03/2.39      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_5146]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_1170,plain,
% 2.03/2.39      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.39      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 2.03/2.39      | ~ class_Ring__and__Field_Oidom(X1) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1915_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5138,plain,
% 2.03/2.39      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.39      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X1)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1)
% 2.03/2.39      | ~ class_Ring__and__Field_Oidom(X1) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1170]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5139,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.03/2.39      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.03/2.39      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_5138]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_1166,plain,
% 2.03/2.39      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.39      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.39      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X0,X1),c_HOL_Otimes__class_Otimes(X2,c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.39      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1916_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5130,plain,
% 2.03/2.39      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.39      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.39      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X0,X1),c_HOL_Otimes__class_Otimes(X2,c_RealVector_Onorm__class_Onorm(X3,X1),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.39      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1166]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5131,plain,
% 2.03/2.39      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.03/2.39      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X0),c_HOL_Otimes__class_Otimes(X2,c_RealVector_Onorm__class_Onorm(X3,X0),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.39      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.39      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_5130]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_1152,plain,
% 2.03/2.39      ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 2.03/2.39      | ~ c_lessequals(X0,X3,X2)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1919_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5102,plain,
% 2.03/2.39      ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 2.03/2.39      | ~ c_lessequals(X0,X3,X2)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1152]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5103,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(X1,X3,X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_5102]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_1148,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.03/2.39      | ~ c_lessequals(X1,X3,X2)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1920_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5094,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.03/2.39      | ~ c_lessequals(X1,X3,X2)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1148]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5095,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.03/2.39      | ~ c_lessequals(X2,X3,X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_5094]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_1144,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.03/2.39      | ~ c_lessequals(X1,X3,X2)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1921_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5086,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.03/2.39      | ~ c_lessequals(X1,X3,X2)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1144]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5087,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Omult__mono(X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.03/2.39      | ~ c_lessequals(X2,X3,X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_5086]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_1140,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.03/2.39      | ~ c_lessequals(X0,X3,X2)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1922_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5078,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.03/2.39      | ~ c_lessequals(X0,X3,X2)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1140]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5079,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Omult__mono(X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 2.03/2.39      | ~ c_lessequals(X2,X3,X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_5078]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_1118,plain,
% 2.03/2.39      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1927_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5034,plain,
% 2.03/2.39      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X4,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1118]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5035,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.39      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X4,X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_5034]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_1115,plain,
% 2.03/2.39      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.03/2.39      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1928_2) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5028,plain,
% 2.03/2.39      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.03/2.39      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1115]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5029,plain,
% 2.03/2.39      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.39      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.39      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_5028]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_1109,plain,
% 2.03/2.39      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.39      | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X0,X3,X1),X1) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 2.03/2.39      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1930_2) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5016,plain,
% 2.03/2.39      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.39      | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X3,X1),c_Power_Opower__class_Opower(X0,X3,X1),X1) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X3,X1)
% 2.03/2.39      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1109]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5017,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.39      | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(X1,X3,X0),X2,X0)
% 2.03/2.39      | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_5016]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_1107,plain,
% 2.03/2.39      ( 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)
% 2.03/2.39      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1931_1) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5012,plain,
% 2.03/2.39      ( 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)
% 2.03/2.39      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1107]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5013,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.39      | 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) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_5012]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_1105,plain,
% 2.03/2.39      ( 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)
% 2.03/2.39      | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1932_1) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5008,plain,
% 2.03/2.39      ( 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)
% 2.03/2.39      | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1105]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5009,plain,
% 2.03/2.39      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 2.03/2.39      | 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) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_5008]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_1103,plain,
% 2.03/2.39      ( 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)
% 2.03/2.39      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1933_1) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5004,plain,
% 2.03/2.39      ( 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)
% 2.03/2.39      | ~ class_Ring__and__Field_Oring__1(X0) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1103]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5005,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oring__1(X0)
% 2.03/2.39      | 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) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_5004]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_1101,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1934_1) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5000,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1101]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_5001,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.39      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_5000]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_1091,plain,
% 2.03/2.39      ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 2.03/2.39      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 2.03/2.39      | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1936_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4980,plain,
% 2.03/2.39      ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 2.03/2.39      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 2.03/2.39      | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1091]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4981,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4980]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_1089,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.03/2.39      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.03/2.39      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1937_1) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4976,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.03/2.39      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.03/2.39      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1089]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4977,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Opordered__ring__abs(X0)
% 2.03/2.39      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4976]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_1040,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1947_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4878,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1040]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4879,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.39      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.39      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4878]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_1036,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1948_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4870,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1036]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4871,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.39      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.39      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4870]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_1032,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1949_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4862,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1032]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4863,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.39      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4862]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_1028,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1950_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4854,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1028]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4855,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.39      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4854]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_1020,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1952_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4838,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1020]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4839,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.39      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4838]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_1019,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1953_0) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4836,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1019]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_1016,plain,
% 2.03/2.39      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.39      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1953_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4830,plain,
% 2.03/2.39      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.39      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_1016]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4831,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4830]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_976,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.39      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1963_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4750,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.39      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_976]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4751,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4750]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_968,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.39      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1965_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4734,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.39      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_968]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4735,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4734]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_960,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1967_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4718,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_960]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4719,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.03/2.39      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4718]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_952,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1969_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4702,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_952]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4703,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 2.03/2.39      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4702]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_948,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1970_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4694,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_948]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4695,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.39      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4694]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_944,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1971_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4686,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_944]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4687,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.39      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4686]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_940,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1972_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4678,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_940]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4679,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 2.03/2.39      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4678]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_937,plain,
% 2.03/2.39      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Oidom(X2) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1973_2) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4672,plain,
% 2.03/2.39      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Oidom(X2) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_937]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4673,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.03/2.39      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4672]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_934,plain,
% 2.03/2.39      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Oidom(X2) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1974_2) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4666,plain,
% 2.03/2.39      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Oidom(X2) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_934]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4667,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.03/2.39      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4666]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_931,plain,
% 2.03/2.39      ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1975_2) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4660,plain,
% 2.03/2.39      ( c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_931]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4661,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.39      | c_Ring__and__Field_Odvd__class_Odvd(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4660]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_908,plain,
% 2.03/2.39      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.39      | X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.39      | ~ c_lessequals(c_Power_Opower__class_Opower(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1981_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4614,plain,
% 2.03/2.39      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.39      | X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.39      | ~ c_lessequals(c_Power_Opower__class_Opower(X0,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_908]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4615,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.39      | ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.39      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4614]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_902,plain,
% 2.03/2.39      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.39      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 2.03/2.39      | ~ class_Divides_Osemiring__div(X1) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1983_2) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4602,plain,
% 2.03/2.39      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.39      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 2.03/2.39      | ~ class_Divides_Osemiring__div(X1) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_902]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4603,plain,
% 2.03/2.39      ( ~ class_Divides_Osemiring__div(X0)
% 2.03/2.39      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_Divides_Odiv__class_Odiv(X1,X3,X0)
% 2.03/2.39      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4602]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_899,plain,
% 2.03/2.39      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.39      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 2.03/2.39      | ~ class_Divides_Osemiring__div(X1) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1984_2) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4596,plain,
% 2.03/2.39      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.39      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 2.03/2.39      | ~ class_Divides_Osemiring__div(X1) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_899]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4597,plain,
% 2.03/2.39      ( ~ class_Divides_Osemiring__div(X0)
% 2.03/2.39      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_Divides_Odiv__class_Odiv(X2,X3,X0)
% 2.03/2.39      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4596]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_897,plain,
% 2.03/2.39      ( 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)
% 2.03/2.39      | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1985_1) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4592,plain,
% 2.03/2.39      ( 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)
% 2.03/2.39      | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_897]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4593,plain,
% 2.03/2.39      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.03/2.39      | 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) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4592]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_893,plain,
% 2.03/2.39      ( c_RealVector_OscaleR__class_OscaleR(X0,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 2.03/2.39      | ~ class_RealVector_Oreal__vector(X3) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1987_1) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4584,plain,
% 2.03/2.39      ( c_RealVector_OscaleR__class_OscaleR(X0,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 2.03/2.39      | ~ class_RealVector_Oreal__vector(X3) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_893]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4585,plain,
% 2.03/2.39      ( ~ class_RealVector_Oreal__vector(X0)
% 2.03/2.39      | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4584]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_891,plain,
% 2.03/2.39      ( c_RealVector_OscaleR__class_OscaleR(X0,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 2.03/2.39      | ~ class_RealVector_Oreal__normed__vector(X3) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1988_1) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4580,plain,
% 2.03/2.39      ( c_RealVector_OscaleR__class_OscaleR(X0,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) = c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 2.03/2.39      | ~ class_RealVector_Oreal__normed__vector(X3) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_891]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4581,plain,
% 2.03/2.39      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.03/2.39      | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4580]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_889,plain,
% 2.03/2.39      ( c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X3,X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
% 2.03/2.39      | ~ class_RealVector_Oreal__normed__field(X2) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1989_1) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4576,plain,
% 2.03/2.39      ( c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X3,X2) = c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
% 2.03/2.39      | ~ class_RealVector_Oreal__normed__field(X2) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_889]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4577,plain,
% 2.03/2.39      ( ~ class_RealVector_Oreal__normed__field(X0)
% 2.03/2.39      | c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) = c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X0),X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4576]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_887,plain,
% 2.03/2.39      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 2.03/2.39      | ~ class_RealVector_Oreal__algebra(X3) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1990_1) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4572,plain,
% 2.03/2.39      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 2.03/2.39      | ~ class_RealVector_Oreal__algebra(X3) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_887]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4573,plain,
% 2.03/2.39      ( ~ class_RealVector_Oreal__algebra(X0)
% 2.03/2.39      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4572]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_885,plain,
% 2.03/2.39      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X0,X1,X3),X2,X3)
% 2.03/2.39      | ~ class_RealVector_Oreal__algebra(X3) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1991_1) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4568,plain,
% 2.03/2.39      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X0,X1,X3),X2,X3)
% 2.03/2.39      | ~ class_RealVector_Oreal__algebra(X3) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_885]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4569,plain,
% 2.03/2.39      ( ~ class_RealVector_Oreal__algebra(X0)
% 2.03/2.39      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4568]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_881,plain,
% 2.03/2.39      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 2.03/2.39      | ~ class_RealVector_Oreal__normed__algebra(X3) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1993_1) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4560,plain,
% 2.03/2.39      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_RealVector_OscaleR__class_OscaleR(X0,X2,X3),X3)
% 2.03/2.39      | ~ class_RealVector_Oreal__normed__algebra(X3) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_881]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4561,plain,
% 2.03/2.39      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.03/2.39      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_RealVector_OscaleR__class_OscaleR(X1,X3,X0),X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4560]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_877,plain,
% 2.03/2.39      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X0,X1,X3),X2,X3)
% 2.03/2.39      | ~ class_RealVector_Oreal__normed__algebra(X3) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1995_1) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4552,plain,
% 2.03/2.39      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X0,X1,X3),X2,X3)
% 2.03/2.39      | ~ class_RealVector_Oreal__normed__algebra(X3) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_877]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4553,plain,
% 2.03/2.39      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.03/2.39      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X3,X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4552]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_873,plain,
% 2.03/2.39      ( 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)
% 2.03/2.39      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1997_1) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4544,plain,
% 2.03/2.39      ( 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)
% 2.03/2.39      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_873]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4545,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.39      | 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) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4544]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_869,plain,
% 2.03/2.39      ( 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)
% 2.03/2.39      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1999_1) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4536,plain,
% 2.03/2.39      ( 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)
% 2.03/2.39      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_869]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4537,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.39      | 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) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4536]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_867,plain,
% 2.03/2.39      ( 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)
% 2.03/2.39      | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2000_1) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4532,plain,
% 2.03/2.39      ( 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)
% 2.03/2.39      | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_867]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4533,plain,
% 2.03/2.39      ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 2.03/2.39      | 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) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4532]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_865,plain,
% 2.03/2.39      ( 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)
% 2.03/2.39      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2001_1) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4528,plain,
% 2.03/2.39      ( 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)
% 2.03/2.39      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_865]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4529,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.39      | 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) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4528]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_863,plain,
% 2.03/2.39      ( c_RealVector_OscaleR__class_OscaleR(X0,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),X2,X3)
% 2.03/2.39      | ~ class_RealVector_Oreal__vector(X3) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2002_1) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4524,plain,
% 2.03/2.39      ( c_RealVector_OscaleR__class_OscaleR(X0,c_RealVector_OscaleR__class_OscaleR(X1,X2,X3),X3) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),X2,X3)
% 2.03/2.39      | ~ class_RealVector_Oreal__vector(X3) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_863]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4525,plain,
% 2.03/2.39      ( ~ class_RealVector_Oreal__vector(X0)
% 2.03/2.39      | c_RealVector_OscaleR__class_OscaleR(X1,c_RealVector_OscaleR__class_OscaleR(X2,X3,X0),X0) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X3,X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4524]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_860,plain,
% 2.03/2.39      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2003_2) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4518,plain,
% 2.03/2.39      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_860]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4519,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.03/2.39      | c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4518]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_857,plain,
% 2.03/2.39      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,X2),X1,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2004_2) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4512,plain,
% 2.03/2.39      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X3,X0,X2),X1,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_857]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4513,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.39      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0)
% 2.03/2.39      | c_Ring__and__Field_Odvd__class_Odvd(X2,X3,X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4512]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_854,plain,
% 2.03/2.39      ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2006_2) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4506,plain,
% 2.03/2.39      ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_854]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4507,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X0),X1,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4506]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_852,plain,
% 2.03/2.39      ( c_Divides_Odiv__class_Odiv(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) = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.39      | ~ class_Divides_Osemiring__div(X0) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2007_1) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4502,plain,
% 2.03/2.39      ( c_Divides_Odiv__class_Odiv(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) = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.39      | ~ class_Divides_Osemiring__div(X0) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_852]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4503,plain,
% 2.03/2.39      ( ~ class_Divides_Osemiring__div(X0)
% 2.03/2.39      | c_Divides_Odiv__class_Odiv(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) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4502]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_844,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 2.03/2.39      | ~ c_lessequals(X0,X2,X1)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 2.03/2.39      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2009_3) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4486,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 2.03/2.39      | ~ c_lessequals(X0,X2,X1)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 2.03/2.39      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_844]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4487,plain,
% 2.03/2.39      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 2.03/2.39      | c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 2.03/2.39      | ~ c_lessequals(X1,X2,X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4486]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_842,plain,
% 2.03/2.39      ( c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2010_1) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4482,plain,
% 2.03/2.39      ( c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_842]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4483,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.39      | c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4482]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_840,plain,
% 2.03/2.39      ( 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)
% 2.03/2.39      | ~ class_Ring__and__Field_Oidom(X0) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2011_1) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4478,plain,
% 2.03/2.39      ( 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)
% 2.03/2.39      | ~ class_Ring__and__Field_Oidom(X0) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_840]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4479,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.03/2.39      | 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) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4478]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_838,plain,
% 2.03/2.39      ( 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)
% 2.03/2.39      | ~ class_Ring__and__Field_Oidom(X1) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2012_1) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4474,plain,
% 2.03/2.39      ( 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)
% 2.03/2.39      | ~ class_Ring__and__Field_Oidom(X1) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_838]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4475,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.03/2.39      | 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) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4474]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_833,plain,
% 2.03/2.39      ( c_HOL_Oinverse__class_Odivide(X0,X1,X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
% 2.03/2.39      | X1 = c_HOL_Ozero__class_Ozero(X2)
% 2.03/2.39      | X4 = c_HOL_Ozero__class_Ozero(X2)
% 2.03/2.39      | c_HOL_Otimes__class_Otimes(X0,X4,X2) != c_HOL_Otimes__class_Otimes(X3,X1,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Ofield(X2) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2013_4) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4464,plain,
% 2.03/2.39      ( c_HOL_Oinverse__class_Odivide(X0,X1,X2) = c_HOL_Oinverse__class_Odivide(X3,X4,X2)
% 2.03/2.39      | X1 = c_HOL_Ozero__class_Ozero(X2)
% 2.03/2.39      | X4 = c_HOL_Ozero__class_Ozero(X2)
% 2.03/2.39      | c_HOL_Otimes__class_Otimes(X0,X4,X2) != c_HOL_Otimes__class_Otimes(X3,X1,X2)
% 2.03/2.39      | ~ class_Ring__and__Field_Ofield(X2) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_833]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4465,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.39      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Otimes__class_Otimes(X3,X4,X0)
% 2.03/2.39      | c_HOL_Oinverse__class_Odivide(X1,X4,X0) = c_HOL_Oinverse__class_Odivide(X3,X2,X0)
% 2.03/2.39      | X4 = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.39      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4464]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_808,plain,
% 2.03/2.39      ( c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 2.03/2.39      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2020_2) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4414,plain,
% 2.03/2.39      ( c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 2.03/2.39      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_808]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4415,plain,
% 2.03/2.39      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.03/2.39      | c_lessequals(c_Log_Opowr(X0,X1),c_Log_Opowr(X0,X2),tc_RealDef_Oreal)
% 2.03/2.39      | ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4414]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_800,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2022_2) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4398,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_800]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4399,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.03/2.39      | c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4398]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_797,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2023_2) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4392,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_797]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4393,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.03/2.39      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4392]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_794,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2024_2) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4386,plain,
% 2.03/2.39      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.39      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_794]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4387,plain,
% 2.03/2.39      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.39      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 2.03/2.39      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4386]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_792,plain,
% 2.03/2.39      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.03/2.39      | c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.03/2.39      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2025_1) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4382,plain,
% 2.03/2.39      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.03/2.39      | c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.03/2.39      inference(copy,[status(esa)],[c_792]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_4383,plain,
% 2.03/2.39      ( c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.39      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.03/2.39      inference(rewriting,[status(thm)],[c_4382]) ).
% 2.03/2.39  
% 2.03/2.39  cnf(c_790,plain,
% 2.03/2.39      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.03/2.39      | c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2026_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4378,plain,
% 2.03/2.40      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.03/2.40      | c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_790]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4379,plain,
% 2.03/2.40      ( c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.40      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4378]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_787,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X0,X1),tc_RealDef_Oreal)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2027_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4372,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X0,X1),tc_RealDef_Oreal)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_787]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4373,plain,
% 2.03/2.40      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.03/2.40      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_Log_Opowr(X1,X0),tc_RealDef_Oreal)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4372]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_778,plain,
% 2.03/2.40      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 2.03/2.40      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2030_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4354,plain,
% 2.03/2.40      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X3)
% 2.03/2.40      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_778]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4355,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.40      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4354]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_775,plain,
% 2.03/2.40      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 2.03/2.40      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2031_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4348,plain,
% 2.03/2.40      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X3)
% 2.03/2.40      | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_775]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4349,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.40      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4348]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_774,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.03/2.40      | 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)
% 2.03/2.40      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.40      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2032_0) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4346,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.03/2.40      | 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)
% 2.03/2.40      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.40      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_774]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_771,plain,
% 2.03/2.40      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.40      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.40      | 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)
% 2.03/2.40      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2032_3) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4340,plain,
% 2.03/2.40      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.40      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.40      | 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)
% 2.03/2.40      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_771]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4341,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.03/2.40      | 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)
% 2.03/2.40      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.40      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4340]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_762,plain,
% 2.03/2.40      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.40      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X1)
% 2.03/2.40      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2035_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4322,plain,
% 2.03/2.40      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.40      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X1)
% 2.03/2.40      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_762]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4323,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.40      | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.03/2.40      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4322]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_761,plain,
% 2.03/2.40      ( ~ class_Orderings_Oorder(X0)
% 2.03/2.40      | ~ c_lessequals(X1,X2,X0)
% 2.03/2.40      | ~ c_lessequals(X2,X3,X0)
% 2.03/2.40      | c_lessequals(X1,X3,X0) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2036_0) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4320,plain,
% 2.03/2.40      ( ~ class_Orderings_Oorder(X0)
% 2.03/2.40      | ~ c_lessequals(X1,X2,X0)
% 2.03/2.40      | ~ c_lessequals(X2,X3,X0)
% 2.03/2.40      | c_lessequals(X1,X3,X0) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_761]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_760,plain,
% 2.03/2.40      ( ~ class_Orderings_Oorder(X0)
% 2.03/2.40      | ~ c_lessequals(X1,X2,X0)
% 2.03/2.40      | c_lessequals(X1,X3,X0)
% 2.03/2.40      | ~ c_lessequals(X2,X3,X0) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2036_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4318,plain,
% 2.03/2.40      ( ~ class_Orderings_Oorder(X0)
% 2.03/2.40      | ~ c_lessequals(X1,X2,X0)
% 2.03/2.40      | c_lessequals(X1,X3,X0)
% 2.03/2.40      | ~ c_lessequals(X2,X3,X0) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_760]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_758,plain,
% 2.03/2.40      ( c_lessequals(X0,X1,X2)
% 2.03/2.40      | ~ c_lessequals(X3,X1,X2)
% 2.03/2.40      | ~ c_lessequals(X0,X3,X2)
% 2.03/2.40      | ~ class_Orderings_Oorder(X2) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2036_3) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4314,plain,
% 2.03/2.40      ( c_lessequals(X0,X1,X2)
% 2.03/2.40      | ~ c_lessequals(X3,X1,X2)
% 2.03/2.40      | ~ c_lessequals(X0,X3,X2)
% 2.03/2.40      | ~ class_Orderings_Oorder(X2) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_758]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4315,plain,
% 2.03/2.40      ( ~ class_Orderings_Oorder(X0)
% 2.03/2.40      | c_lessequals(X1,X2,X0)
% 2.03/2.40      | ~ c_lessequals(X3,X2,X0)
% 2.03/2.40      | ~ c_lessequals(X1,X3,X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4314]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_757,plain,
% 2.03/2.40      ( ~ class_Orderings_Opreorder(X0)
% 2.03/2.40      | ~ c_lessequals(X1,X2,X0)
% 2.03/2.40      | ~ c_lessequals(X3,X1,X0)
% 2.03/2.40      | c_lessequals(X3,X2,X0) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2037_0) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4312,plain,
% 2.03/2.40      ( ~ class_Orderings_Opreorder(X0)
% 2.03/2.40      | ~ c_lessequals(X1,X2,X0)
% 2.03/2.40      | ~ c_lessequals(X3,X1,X0)
% 2.03/2.40      | c_lessequals(X3,X2,X0) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_757]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_756,plain,
% 2.03/2.40      ( ~ class_Orderings_Opreorder(X0)
% 2.03/2.40      | ~ c_lessequals(X1,X2,X0)
% 2.03/2.40      | c_lessequals(X3,X2,X0)
% 2.03/2.40      | ~ c_lessequals(X3,X1,X0) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2037_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4310,plain,
% 2.03/2.40      ( ~ class_Orderings_Opreorder(X0)
% 2.03/2.40      | ~ c_lessequals(X1,X2,X0)
% 2.03/2.40      | c_lessequals(X3,X2,X0)
% 2.03/2.40      | ~ c_lessequals(X3,X1,X0) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_756]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_754,plain,
% 2.03/2.40      ( c_lessequals(X0,X1,X2)
% 2.03/2.40      | ~ c_lessequals(X0,X3,X2)
% 2.03/2.40      | ~ c_lessequals(X3,X1,X2)
% 2.03/2.40      | ~ class_Orderings_Opreorder(X2) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2037_3) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4306,plain,
% 2.03/2.40      ( c_lessequals(X0,X1,X2)
% 2.03/2.40      | ~ c_lessequals(X0,X3,X2)
% 2.03/2.40      | ~ c_lessequals(X3,X1,X2)
% 2.03/2.40      | ~ class_Orderings_Opreorder(X2) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_754]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4307,plain,
% 2.03/2.40      ( ~ class_Orderings_Opreorder(X0)
% 2.03/2.40      | c_lessequals(X1,X2,X0)
% 2.03/2.40      | ~ c_lessequals(X1,X3,X0)
% 2.03/2.40      | ~ c_lessequals(X3,X2,X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4306]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_753,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 2.03/2.40      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2038_0) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4304,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0)
% 2.03/2.40      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_753]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_752,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.03/2.40      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2038_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4302,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.03/2.40      | c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X0) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_752]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_750,plain,
% 2.03/2.40      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 2.03/2.40      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2038_3) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4298,plain,
% 2.03/2.40      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X3,X2)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X1,X2)
% 2.03/2.40      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_750]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4299,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.40      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X3,X0)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X3,X2,X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4298]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_748,plain,
% 2.03/2.40      ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Osgn__class_Osgn(X2,X1),X1) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 2.03/2.40      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2039_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4294,plain,
% 2.03/2.40      ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Osgn__class_Osgn(X2,X1),X1) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 2.03/2.40      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_748]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4295,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.40      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4294]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_746,plain,
% 2.03/2.40      ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Osgn__class_Osgn(X2,X1),X1) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 2.03/2.40      | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2040_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4290,plain,
% 2.03/2.40      ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Osgn__class_Osgn(X2,X1),X1) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 2.03/2.40      | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_746]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4291,plain,
% 2.03/2.40      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 2.03/2.40      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Osgn__class_Osgn(X2,X0),X0) = c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4290]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_744,plain,
% 2.03/2.40      ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 2.03/2.40      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2041_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4286,plain,
% 2.03/2.40      ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 2.03/2.40      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_744]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4287,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.40      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X2,X0),X0) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4286]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_742,plain,
% 2.03/2.40      ( c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 2.03/2.40      | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2042_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4282,plain,
% 2.03/2.40      ( c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X0,X1),c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X0,X2,X1),X1)
% 2.03/2.40      | ~ class_RealVector_Oreal__normed__div__algebra(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_742]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4283,plain,
% 2.03/2.40      ( ~ class_RealVector_Oreal__normed__div__algebra(X0)
% 2.03/2.40      | c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X0),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4282]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_740,plain,
% 2.03/2.40      ( c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X0,X1),c_RealVector_Oof__real(X2,X1),X1) = c_RealVector_Oof__real(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),X1)
% 2.03/2.40      | ~ class_RealVector_Oreal__algebra__1(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2043_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4278,plain,
% 2.03/2.40      ( c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X0,X1),c_RealVector_Oof__real(X2,X1),X1) = c_RealVector_Oof__real(c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),X1)
% 2.03/2.40      | ~ class_RealVector_Oreal__algebra__1(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_740]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4279,plain,
% 2.03/2.40      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.03/2.40      | c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X0),c_RealVector_Oof__real(X2,X0),X0) = c_RealVector_Oof__real(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4278]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_737,plain,
% 2.03/2.40      ( c_lessequals(X0,X1,X2)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 2.03/2.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2044_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4272,plain,
% 2.03/2.40      ( c_lessequals(X0,X1,X2)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 2.03/2.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_737]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4273,plain,
% 2.03/2.40      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 2.03/2.40      | c_lessequals(X2,X1,X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4272]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_735,plain,
% 2.03/2.40      ( c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
% 2.03/2.40      | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2045_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4268,plain,
% 2.03/2.40      ( c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
% 2.03/2.40      | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_735]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4269,plain,
% 2.03/2.40      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.03/2.40      | c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X0),tc_RealDef_Oreal) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4268]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_733,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0),X0)
% 2.03/2.40      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2046_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4264,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0),X0)
% 2.03/2.40      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_733]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4265,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.40      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0),X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4264]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_731,plain,
% 2.03/2.40      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 2.03/2.40      | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2047_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4260,plain,
% 2.03/2.40      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 2.03/2.40      | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_731]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4261,plain,
% 2.03/2.40      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 2.03/2.40      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4260]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_730,plain,
% 2.03/2.40      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.03/2.40      | ~ c_lessequals(X2,X0,tc_RealDef_Oreal)
% 2.03/2.40      | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2048_0) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4258,plain,
% 2.03/2.40      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.03/2.40      | ~ c_lessequals(X2,X0,tc_RealDef_Oreal)
% 2.03/2.40      | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_730]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_729,plain,
% 2.03/2.40      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.03/2.40      | c_lessequals(X2,X1,tc_RealDef_Oreal)
% 2.03/2.40      | ~ c_lessequals(X2,X0,tc_RealDef_Oreal) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2048_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4256,plain,
% 2.03/2.40      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.03/2.40      | c_lessequals(X2,X1,tc_RealDef_Oreal)
% 2.03/2.40      | ~ c_lessequals(X2,X0,tc_RealDef_Oreal) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_729]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_728,plain,
% 2.03/2.40      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.03/2.40      | ~ c_lessequals(X0,X2,tc_RealDef_Oreal)
% 2.03/2.40      | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2048_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4254,plain,
% 2.03/2.40      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.03/2.40      | ~ c_lessequals(X0,X2,tc_RealDef_Oreal)
% 2.03/2.40      | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_728]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_718,plain,
% 2.03/2.40      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.03/2.40      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 2.03/2.40      | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2052_0) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4234,plain,
% 2.03/2.40      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.03/2.40      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 2.03/2.40      | c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_718]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_716,plain,
% 2.03/2.40      ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 2.03/2.40      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 2.03/2.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2052_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4230,plain,
% 2.03/2.40      ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 2.03/2.40      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X0,X2),X2)
% 2.03/2.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_716]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4231,plain,
% 2.03/2.40      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.03/2.40      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 2.03/2.40      | ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4230]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_712,plain,
% 2.03/2.40      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 2.03/2.40      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2054_0) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4222,plain,
% 2.03/2.40      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 2.03/2.40      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_712]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_710,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 2.03/2.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2054_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4218,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X0,X1)
% 2.03/2.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_710]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4219,plain,
% 2.03/2.40      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.03/2.40      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X0),X1,X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4218]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_707,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 2.03/2.40      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2055_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4212,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 2.03/2.40      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_707]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4213,plain,
% 2.03/2.40      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.03/2.40      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4212]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_704,plain,
% 2.03/2.40      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.40      | 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)
% 2.03/2.40      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2056_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4206,plain,
% 2.03/2.40      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.40      | 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)
% 2.03/2.40      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_704]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4207,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.03/2.40      | 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)
% 2.03/2.40      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4206]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_701,plain,
% 2.03/2.40      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.40      | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X1)
% 2.03/2.40      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2057_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4200,plain,
% 2.03/2.40      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.40      | c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X2,X0,X1),X1)
% 2.03/2.40      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_701]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4201,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.40      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0)
% 2.03/2.40      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4200]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_687,plain,
% 2.03/2.40      ( c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 2.03/2.40      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2061_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4172,plain,
% 2.03/2.40      ( c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X0,X2,X1),X1)
% 2.03/2.40      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_687]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4173,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.40      | c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4172]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_685,plain,
% 2.03/2.40      ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 2.03/2.40      | ~ class_RealVector_Oreal__normed__field(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2062_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4168,plain,
% 2.03/2.40      ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 2.03/2.40      | ~ class_RealVector_Oreal__normed__field(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_685]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4169,plain,
% 2.03/2.40      ( ~ class_RealVector_Oreal__normed__field(X0)
% 2.03/2.40      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4168]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_683,plain,
% 2.03/2.40      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2)
% 2.03/2.40      | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2063_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4164,plain,
% 2.03/2.40      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2)
% 2.03/2.40      | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_683]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4165,plain,
% 2.03/2.40      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.03/2.40      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4164]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_681,plain,
% 2.03/2.40      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2)
% 2.03/2.40      | ~ class_RealVector_Oreal__vector(X2) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2064_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4160,plain,
% 2.03/2.40      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2)
% 2.03/2.40      | ~ class_RealVector_Oreal__vector(X2) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_681]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4161,plain,
% 2.03/2.40      ( ~ class_RealVector_Oreal__vector(X0)
% 2.03/2.40      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4160]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_677,plain,
% 2.03/2.40      ( 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)
% 2.03/2.40      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2066_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4152,plain,
% 2.03/2.40      ( 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)
% 2.03/2.40      | ~ class_RealVector_Oreal__normed__algebra(X2) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_677]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4153,plain,
% 2.03/2.40      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.03/2.40      | 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) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4152]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_673,plain,
% 2.03/2.40      ( 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)
% 2.03/2.40      | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2068_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4144,plain,
% 2.03/2.40      ( 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)
% 2.03/2.40      | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_673]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4145,plain,
% 2.03/2.40      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.03/2.40      | 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) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4144]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_671,plain,
% 2.03/2.40      ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 2.03/2.40      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2069_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4140,plain,
% 2.03/2.40      ( c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X0,X2,X1),X1)
% 2.03/2.40      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_671]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4141,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.40      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X1,X2,X0),X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4140]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_669,plain,
% 2.03/2.40      ( 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)
% 2.03/2.40      | ~ class_Ring__and__Field_Oring(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2070_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4136,plain,
% 2.03/2.40      ( 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)
% 2.03/2.40      | ~ class_Ring__and__Field_Oring(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_669]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4137,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Oring(X0)
% 2.03/2.40      | 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) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4136]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_667,plain,
% 2.03/2.40      ( 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)
% 2.03/2.40      | ~ class_Ring__and__Field_Oring(X2) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2071_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4132,plain,
% 2.03/2.40      ( 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)
% 2.03/2.40      | ~ class_Ring__and__Field_Oring(X2) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_667]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4133,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Oring(X0)
% 2.03/2.40      | 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) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4132]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_665,plain,
% 2.03/2.40      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2)
% 2.03/2.40      | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2072_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4128,plain,
% 2.03/2.40      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2)
% 2.03/2.40      | ~ class_RealVector_Oreal__normed__vector(X2) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_665]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4129,plain,
% 2.03/2.40      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.03/2.40      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4128]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_661,plain,
% 2.03/2.40      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2)
% 2.03/2.40      | ~ class_RealVector_Oreal__vector(X2) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2074_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4120,plain,
% 2.03/2.40      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,X2) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X0,X1,X2),X2)
% 2.03/2.40      | ~ class_RealVector_Oreal__vector(X2) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_661]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4121,plain,
% 2.03/2.40      ( ~ class_RealVector_Oreal__vector(X0)
% 2.03/2.40      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(X1,X2,X0),X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4120]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_658,plain,
% 2.03/2.40      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 2.03/2.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2075_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4114,plain,
% 2.03/2.40      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 2.03/2.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_658]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4115,plain,
% 2.03/2.40      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 2.03/2.40      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4114]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_655,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2076_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4108,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_655]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4109,plain,
% 2.03/2.40      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.03/2.40      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4108]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_652,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 2.03/2.40      | ~ c_lessequals(X2,X0,X1)
% 2.03/2.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2077_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4102,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
% 2.03/2.40      | ~ c_lessequals(X2,X0,X1)
% 2.03/2.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_652]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4103,plain,
% 2.03/2.40      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.03/2.40      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 2.03/2.40      | ~ c_lessequals(X2,X1,X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4102]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_632,plain,
% 2.03/2.40      ( X0 = X1
% 2.03/2.40      | X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 2.03/2.40      | c_HOL_Otimes__class_Otimes(X0,X0,X2) != c_HOL_Otimes__class_Otimes(X1,X1,X2)
% 2.03/2.40      | ~ class_Ring__and__Field_Oidom(X2) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2082_3) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4062,plain,
% 2.03/2.40      ( X0 = X1
% 2.03/2.40      | X0 = c_HOL_Ouminus__class_Ouminus(X1,X2)
% 2.03/2.40      | c_HOL_Otimes__class_Otimes(X0,X0,X2) != c_HOL_Otimes__class_Otimes(X1,X1,X2)
% 2.03/2.40      | ~ class_Ring__and__Field_Oidom(X2) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_632]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4063,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.03/2.40      | c_HOL_Otimes__class_Otimes(X1,X1,X0) != c_HOL_Otimes__class_Otimes(X2,X2,X0)
% 2.03/2.40      | X1 = c_HOL_Ouminus__class_Ouminus(X2,X0)
% 2.03/2.40      | X1 = X2 ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4062]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_630,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2083_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4058,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_630]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_627,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 2.03/2.40      | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2084_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4052,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 2.03/2.40      | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_627]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4053,plain,
% 2.03/2.40      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 2.03/2.40      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4052]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_624,plain,
% 2.03/2.40      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.40      | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 2.03/2.40      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2085_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4046,plain,
% 2.03/2.40      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.40      | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 2.03/2.40      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_624]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4047,plain,
% 2.03/2.40      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 2.03/2.40      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.40      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4046]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_621,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 2.03/2.40      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2086_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4040,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0)
% 2.03/2.40      | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_621]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4041,plain,
% 2.03/2.40      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.03/2.40      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4040]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_618,plain,
% 2.03/2.40      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.40      | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 2.03/2.40      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2087_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4034,plain,
% 2.03/2.40      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.40      | ~ c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 2.03/2.40      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_618]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4035,plain,
% 2.03/2.40      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.03/2.40      | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.40      | ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4034]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_609,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 2.03/2.40      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2090_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4016,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 2.03/2.40      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_609]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4017,plain,
% 2.03/2.40      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.03/2.40      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ouminus__class_Ouminus(X1,X0),X0)
% 2.03/2.40      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4016]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_606,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 2.03/2.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2091_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4010,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 2.03/2.40      | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_606]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_4011,plain,
% 2.03/2.40      ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.40      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_4010]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_600,plain,
% 2.03/2.40      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 2.03/2.40      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2093_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3998,plain,
% 2.03/2.40      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 2.03/2.40      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_600]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3999,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 2.03/2.40      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3998]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_597,plain,
% 2.03/2.40      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 2.03/2.40      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2094_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3992,plain,
% 2.03/2.40      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 2.03/2.40      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_597]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3993,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 2.03/2.40      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3992]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_594,plain,
% 2.03/2.40      ( c_lessequals(X0,X1,X2)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 2.03/2.40      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2095_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3986,plain,
% 2.03/2.40      ( c_lessequals(X0,X1,X2)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X2),X1,X2)
% 2.03/2.40      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_594]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3987,plain,
% 2.03/2.40      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 2.03/2.40      | c_lessequals(X1,X2,X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3986]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_591,plain,
% 2.03/2.40      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
% 2.03/2.40      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2096_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3980,plain,
% 2.03/2.40      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X2),X1,X2)
% 2.03/2.40      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_591]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3981,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 2.03/2.40      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3980]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_588,plain,
% 2.03/2.40      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 2.03/2.40      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2097_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3974,plain,
% 2.03/2.40      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 2.03/2.40      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_588]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3975,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 2.03/2.40      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3974]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_586,plain,
% 2.03/2.40      ( 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)
% 2.03/2.40      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2098_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3970,plain,
% 2.03/2.40      ( 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)
% 2.03/2.40      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_586]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3971,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.40      | 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) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3970]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_582,plain,
% 2.03/2.40      ( X0 = X1
% 2.03/2.40      | X2 = c_HOL_Ozero__class_Ozero(X3)
% 2.03/2.40      | c_RealVector_OscaleR__class_OscaleR(X0,X2,X3) != c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)
% 2.03/2.40      | ~ class_RealVector_Oreal__vector(X3) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2099_3) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3962,plain,
% 2.03/2.40      ( X0 = X1
% 2.03/2.40      | X2 = c_HOL_Ozero__class_Ozero(X3)
% 2.03/2.40      | c_RealVector_OscaleR__class_OscaleR(X0,X2,X3) != c_RealVector_OscaleR__class_OscaleR(X1,X2,X3)
% 2.03/2.40      | ~ class_RealVector_Oreal__vector(X3) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_582]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3963,plain,
% 2.03/2.40      ( ~ class_RealVector_Oreal__vector(X0)
% 2.03/2.40      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X3,X2,X0)
% 2.03/2.40      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.40      | X1 = X3 ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3962]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_578,plain,
% 2.03/2.40      ( X0 = X1
% 2.03/2.40      | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.03/2.40      | c_RealVector_OscaleR__class_OscaleR(X2,X0,X3) != c_RealVector_OscaleR__class_OscaleR(X2,X1,X3)
% 2.03/2.40      | ~ class_RealVector_Oreal__vector(X3) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2100_3) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3954,plain,
% 2.03/2.40      ( X0 = X1
% 2.03/2.40      | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.03/2.40      | c_RealVector_OscaleR__class_OscaleR(X2,X0,X3) != c_RealVector_OscaleR__class_OscaleR(X2,X1,X3)
% 2.03/2.40      | ~ class_RealVector_Oreal__vector(X3) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_578]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3955,plain,
% 2.03/2.40      ( ~ class_RealVector_Oreal__vector(X0)
% 2.03/2.40      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_RealVector_OscaleR__class_OscaleR(X1,X3,X0)
% 2.03/2.40      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.03/2.40      | X2 = X3 ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3954]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_575,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 2.03/2.40      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2101_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3948,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 2.03/2.40      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_575]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3949,plain,
% 2.03/2.40      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.40      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3948]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_572,plain,
% 2.03/2.40      ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 2.03/2.40      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.40      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2102_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3942,plain,
% 2.03/2.40      ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 2.03/2.40      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.40      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_572]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3943,plain,
% 2.03/2.40      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 2.03/2.40      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.40      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3942]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_569,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 2.03/2.40      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2103_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3936,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),X0,X1)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 2.03/2.40      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_569]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3937,plain,
% 2.03/2.40      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.40      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),X1,X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3936]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_566,plain,
% 2.03/2.40      ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 2.03/2.40      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.40      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2104_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3930,plain,
% 2.03/2.40      ( c_lessequals(X0,c_HOL_Ouminus__class_Ouminus(X0,X1),X1)
% 2.03/2.40      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.40      | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_566]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3931,plain,
% 2.03/2.40      ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 2.03/2.40      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.40      | c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X0),X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3930]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_538,plain,
% 2.03/2.40      ( X0 = X1
% 2.03/2.40      | ~ c_lessequals(X1,X0,X2)
% 2.03/2.40      | ~ c_lessequals(X0,X1,X2)
% 2.03/2.40      | ~ class_Orderings_Oorder(X2) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2111_3) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3874,plain,
% 2.03/2.40      ( X0 = X1
% 2.03/2.40      | ~ c_lessequals(X1,X0,X2)
% 2.03/2.40      | ~ c_lessequals(X0,X1,X2)
% 2.03/2.40      | ~ class_Orderings_Oorder(X2) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_538]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3875,plain,
% 2.03/2.40      ( ~ class_Orderings_Oorder(X0)
% 2.03/2.40      | ~ c_lessequals(X1,X2,X0)
% 2.03/2.40      | ~ c_lessequals(X2,X1,X0)
% 2.03/2.40      | X2 = X1 ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3874]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_540,plain,
% 2.03/2.40      ( ~ class_Orderings_Oorder(X0)
% 2.03/2.40      | ~ c_lessequals(X1,X2,X0)
% 2.03/2.40      | X1 = X2
% 2.03/2.40      | ~ c_lessequals(X2,X1,X0) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2111_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3878,plain,
% 2.03/2.40      ( ~ class_Orderings_Oorder(X0)
% 2.03/2.40      | ~ c_lessequals(X1,X2,X0)
% 2.03/2.40      | X1 = X2
% 2.03/2.40      | ~ c_lessequals(X2,X1,X0) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_540]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3879,plain,
% 2.03/2.40      ( ~ class_Orderings_Oorder(X0)
% 2.03/2.40      | ~ c_lessequals(X1,X2,X0)
% 2.03/2.40      | ~ c_lessequals(X2,X1,X0)
% 2.03/2.40      | X1 = X2 ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3878]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_532,plain,
% 2.03/2.40      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.40      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),X0,X1) = X2
% 2.03/2.40      | ~ class_Divides_Osemiring__div(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2113_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3862,plain,
% 2.03/2.40      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.40      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),X0,X1) = X2
% 2.03/2.40      | ~ class_Divides_Osemiring__div(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_532]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3863,plain,
% 2.03/2.40      ( ~ class_Divides_Osemiring__div(X0)
% 2.03/2.40      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = X2
% 2.03/2.40      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3862]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_529,plain,
% 2.03/2.40      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.40      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),X0,X1) = X2
% 2.03/2.40      | ~ class_Divides_Osemiring__div(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2114_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3856,plain,
% 2.03/2.40      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.40      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),X0,X1) = X2
% 2.03/2.40      | ~ class_Divides_Osemiring__div(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_529]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3857,plain,
% 2.03/2.40      ( ~ class_Divides_Osemiring__div(X0)
% 2.03/2.40      | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 2.03/2.40      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3856]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_523,plain,
% 2.03/2.40      ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = X0
% 2.03/2.40      | X1 = c_HOL_Ozero__class_Ozero(X2)
% 2.03/2.40      | ~ class_Ring__and__Field_Ofield(X2) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2116_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3844,plain,
% 2.03/2.40      ( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X0,X1,X2),X1,X2) = X0
% 2.03/2.40      | X1 = c_HOL_Ozero__class_Ozero(X2)
% 2.03/2.40      | ~ class_Ring__and__Field_Ofield(X2) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_523]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3845,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.40      | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 2.03/2.40      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3844]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_521,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 2.03/2.40      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2117_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3840,plain,
% 2.03/2.40      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 2.03/2.40      | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_521]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3841,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 2.03/2.40      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3840]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_518,plain,
% 2.03/2.40      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.40      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2118_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3834,plain,
% 2.03/2.40      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Oabs__class_Oabs(X1,X2),X2)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.40      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_518]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3835,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.40      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Oabs__class_Oabs(X2,X0),X0)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3834]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_515,plain,
% 2.03/2.40      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 2.03/2.40      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2119_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3828,plain,
% 2.03/2.40      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X0,X1),X2,X1)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 2.03/2.40      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_515]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3829,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.40      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oabs__class_Oabs(X1,X0),X2,X0)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3828]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_512,plain,
% 2.03/2.40      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 2.03/2.40      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2120_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3822,plain,
% 2.03/2.40      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X0,X1),X2,X1)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X2,X1)
% 2.03/2.40      | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_512]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3823,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 2.03/2.40      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(X1,X0),X2,X0)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3822]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_509,plain,
% 2.03/2.40      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.40      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2121_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3816,plain,
% 2.03/2.40      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.40      | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_509]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3817,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 2.03/2.40      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ouminus__class_Ouminus(X2,X0),X0)
% 2.03/2.40      | ~ c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3816]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_506,plain,
% 2.03/2.40      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.40      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X0,X1)
% 2.03/2.40      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2122_2) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3810,plain,
% 2.03/2.40      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.40      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oinverse__class_Odivide(X2,X0,X1)
% 2.03/2.40      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_506]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3811,plain,
% 2.03/2.40      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.40      | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Ouminus__class_Ouminus(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0)
% 2.03/2.40      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3810]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_504,plain,
% 2.03/2.40      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 2.03/2.40      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2123_1) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3806,plain,
% 2.03/2.40      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.03/2.40      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
% 2.03/2.40      inference(copy,[status(esa)],[c_504]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_3807,plain,
% 2.03/2.40      ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
% 2.03/2.40      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 2.03/2.40      inference(rewriting,[status(thm)],[c_3806]) ).
% 2.03/2.40  
% 2.03/2.40  cnf(c_501,plain,
% 2.03/2.40      ( X0 = X1
% 2.03/2.41      | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2125_2) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3800,plain,
% 2.03/2.41      ( X0 = X1
% 2.03/2.41      | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_501]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3801,plain,
% 2.03/2.41      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal)
% 2.03/2.41      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.03/2.41      | X0 = X2 ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3800]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_498,plain,
% 2.03/2.41      ( X0 = X1
% 2.03/2.41      | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2126_2) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3794,plain,
% 2.03/2.41      ( X0 = X1
% 2.03/2.41      | X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X2,X0,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_498]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3795,plain,
% 2.03/2.41      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal)
% 2.03/2.41      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.03/2.41      | X1 = X2 ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3794]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_496,plain,
% 2.03/2.41      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.03/2.41      | X1 = X0
% 2.03/2.41      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2127_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3790,plain,
% 2.03/2.41      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.03/2.41      | X1 = X0
% 2.03/2.41      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_496]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3791,plain,
% 2.03/2.41      ( ~ c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.03/2.41      | ~ c_lessequals(X1,X0,tc_RealDef_Oreal)
% 2.03/2.41      | X1 = X0 ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3790]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_493,plain,
% 2.03/2.41      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 2.03/2.41      | ~ class_Ring__and__Field_Odvd(X2) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2128_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3784,plain,
% 2.03/2.41      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 2.03/2.41      | ~ class_Ring__and__Field_Odvd(X2) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_493]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3785,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Odvd(X0)
% 2.03/2.41      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3784]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_491,plain,
% 2.03/2.41      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 2.03/2.41      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2129_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3780,plain,
% 2.03/2.41      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2)
% 2.03/2.41      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_491]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3781,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.41      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3780]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_489,plain,
% 2.03/2.41      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2)
% 2.03/2.41      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2130_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3776,plain,
% 2.03/2.41      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Otimes__class_Otimes(X1,X0,X2),X2)
% 2.03/2.41      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_489]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3777,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.41      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3776]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_487,plain,
% 2.03/2.41      ( 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)
% 2.03/2.41      | ~ class_Ring__and__Field_Oring(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2131_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3772,plain,
% 2.03/2.41      ( 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)
% 2.03/2.41      | ~ class_Ring__and__Field_Oring(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_487]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3773,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Oring(X0)
% 2.03/2.41      | 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) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3772]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_485,plain,
% 2.03/2.41      ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Otimes__class_Otimes(X0,X0,X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2132_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3768,plain,
% 2.03/2.41      ( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Otimes__class_Otimes(X0,X0,X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_485]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3769,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X1,X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3768]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_483,plain,
% 2.03/2.41      ( 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)
% 2.03/2.41      | ~ class_Ring__and__Field_Oring(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2133_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3764,plain,
% 2.03/2.41      ( 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)
% 2.03/2.41      | ~ class_Ring__and__Field_Oring(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_483]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3765,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Oring(X0)
% 2.03/2.41      | 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) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3764]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_481,plain,
% 2.03/2.41      ( 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)
% 2.03/2.41      | ~ class_Ring__and__Field_Oidom(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2134_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3760,plain,
% 2.03/2.41      ( 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)
% 2.03/2.41      | ~ class_Ring__and__Field_Oidom(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_481]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3761,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Oidom(X0)
% 2.03/2.41      | 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) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3760]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_479,plain,
% 2.03/2.41      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.03/2.41      | ~ c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2136_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3756,plain,
% 2.03/2.41      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.03/2.41      | ~ c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_479]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3757,plain,
% 2.03/2.41      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 2.03/2.41      | c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3756]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_477,plain,
% 2.03/2.41      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.03/2.41      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2137_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3752,plain,
% 2.03/2.41      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.03/2.41      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_477]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3753,plain,
% 2.03/2.41      ( ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 2.03/2.41      | c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3752]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_475,plain,
% 2.03/2.41      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.41      | ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2138_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3748,plain,
% 2.03/2.41      ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.41      | ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_475]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3749,plain,
% 2.03/2.41      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.41      | c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3748]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_473,plain,
% 2.03/2.41      ( c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.41      | ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2139_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3744,plain,
% 2.03/2.41      ( c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.41      | ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_473]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3745,plain,
% 2.03/2.41      ( ~ c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.41      | c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3744]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_471,plain,
% 2.03/2.41      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.03/2.41      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2140_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3740,plain,
% 2.03/2.41      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
% 2.03/2.41      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_471]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3741,plain,
% 2.03/2.41      ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 2.03/2.41      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3740]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_467,plain,
% 2.03/2.41      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 2.03/2.41      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2142_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3732,plain,
% 2.03/2.41      ( c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 2.03/2.41      | ~ c_lessequals(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_467]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_465,plain,
% 2.03/2.41      ( c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.41      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2143_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3728,plain,
% 2.03/2.41      ( c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.41      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_465]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_463,plain,
% 2.03/2.41      ( c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.41      | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2144_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3724,plain,
% 2.03/2.41      ( c_lessequals(c_NthRoot_Osqrt(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.41      | ~ c_lessequals(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_463]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_459,plain,
% 2.03/2.41      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 2.03/2.41      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2146_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3716,plain,
% 2.03/2.41      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X0),tc_RealDef_Oreal)
% 2.03/2.41      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_459]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_457,plain,
% 2.03/2.41      ( c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 2.03/2.41      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2147_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3712,plain,
% 2.03/2.41      ( c_lessequals(c_NthRoot_Osqrt(X0),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
% 2.03/2.41      | ~ c_lessequals(X0,X1,tc_RealDef_Oreal) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_457]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_454,plain,
% 2.03/2.41      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X0,X1,X2)
% 2.03/2.41      | ~ class_Int_Onumber__ring(X2)
% 2.03/2.41      | ~ class_Ring__and__Field_Ofield(X2) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2148_2) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3706,plain,
% 2.03/2.41      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X0,X1,X2)
% 2.03/2.41      | ~ class_Int_Onumber__ring(X2)
% 2.03/2.41      | ~ class_Ring__and__Field_Ofield(X2) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_454]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3707,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.41      | ~ class_Int_Onumber__ring(X0)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3706]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_451,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.41      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2149_2) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3700,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.41      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_451]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3701,plain,
% 2.03/2.41      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.03/2.41      | ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.41      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3700]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_449,plain,
% 2.03/2.41      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X0,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.41      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2150_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3696,plain,
% 2.03/2.41      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X0,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.41      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_449]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3697,plain,
% 2.03/2.41      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.03/2.41      | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3696]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_447,plain,
% 2.03/2.41      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X0,X1,X2)
% 2.03/2.41      | ~ class_Ring__and__Field_Ofield(X2) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2151_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3692,plain,
% 2.03/2.41      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X1,X2),X2) = c_HOL_Oinverse__class_Odivide(X0,X1,X2)
% 2.03/2.41      | ~ class_Ring__and__Field_Ofield(X2) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_447]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3693,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X2,X0),X0) = c_HOL_Oinverse__class_Odivide(X1,X2,X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3692]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_445,plain,
% 2.03/2.41      ( c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X0,X1),X2,X1) = c_RealVector_OscaleR__class_OscaleR(X0,X2,X1)
% 2.03/2.41      | ~ class_RealVector_Oreal__algebra__1(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2152_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3688,plain,
% 2.03/2.41      ( c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X0,X1),X2,X1) = c_RealVector_OscaleR__class_OscaleR(X0,X2,X1)
% 2.03/2.41      | ~ class_RealVector_Oreal__algebra__1(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_445]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3689,plain,
% 2.03/2.41      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(c_RealVector_Oof__real(X1,X0),X2,X0) = c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3688]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_442,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X0,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.41      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2153_2) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3682,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X0,X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.41      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_442]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3683,plain,
% 2.03/2.41      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.03/2.41      | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.41      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3682]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_439,plain,
% 2.03/2.41      ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 2.03/2.41      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.41      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2154_2) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3676,plain,
% 2.03/2.41      ( c_HOL_Oabs__class_Oabs(X0,X1) = c_HOL_Ouminus__class_Ouminus(X0,X1)
% 2.03/2.41      | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.41      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_439]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3677,plain,
% 2.03/2.41      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.03/2.41      | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.41      | c_HOL_Oabs__class_Oabs(X1,X0) = c_HOL_Ouminus__class_Ouminus(X1,X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3676]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_437,plain,
% 2.03/2.41      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.41      | ~ class_RealVector_Oreal__vector(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2155_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3672,plain,
% 2.03/2.41      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.03/2.41      | ~ class_RealVector_Oreal__vector(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_437]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3673,plain,
% 2.03/2.41      ( ~ class_RealVector_Oreal__vector(X0)
% 2.03/2.41      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_RealVector_OscaleR__class_OscaleR(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3672]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_429,plain,
% 2.03/2.41      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,X1) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,X1)
% 2.03/2.41      | ~ class_RealVector_Oreal__vector(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2157_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3656,plain,
% 2.03/2.41      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,X1) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,X1)
% 2.03/2.41      | ~ class_RealVector_Oreal__vector(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_429]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3657,plain,
% 2.03/2.41      ( ~ class_RealVector_Oreal__vector(X0)
% 2.03/2.41      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X0) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3656]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_426,plain,
% 2.03/2.41      ( c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 2.03/2.41      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 2.03/2.41      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2159_2) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3650,plain,
% 2.03/2.41      ( c_HOL_Oabs__class_Oabs(X0,X1) = X0
% 2.03/2.41      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 2.03/2.41      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_426]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3651,plain,
% 2.03/2.41      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.03/2.41      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.41      | c_HOL_Oabs__class_Oabs(X1,X0) = X1 ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3650]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_423,plain,
% 2.03/2.41      ( c_lessequals(X0,X1,X2)
% 2.03/2.41      | c_lessequals(X1,X0,X2)
% 2.03/2.41      | ~ class_Orderings_Olinorder(X2) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2160_2) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3644,plain,
% 2.03/2.41      ( c_lessequals(X0,X1,X2)
% 2.03/2.41      | c_lessequals(X1,X0,X2)
% 2.03/2.41      | ~ class_Orderings_Olinorder(X2) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_423]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3645,plain,
% 2.03/2.41      ( ~ class_Orderings_Olinorder(X0)
% 2.03/2.41      | c_lessequals(X1,X2,X0)
% 2.03/2.41      | c_lessequals(X2,X1,X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3644]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_419,plain,
% 2.03/2.41      ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 2.03/2.41      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2162_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3636,plain,
% 2.03/2.41      ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 2.03/2.41      | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_419]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3637,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3636]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_417,plain,
% 2.03/2.41      ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = X0
% 2.03/2.41      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2163_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3632,plain,
% 2.03/2.41      ( c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1) = X0
% 2.03/2.41      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_417]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3633,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) = X1 ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3632]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_414,plain,
% 2.03/2.41      ( c_HOL_Oinverse__class_Oinverse(X0,X1) = X2
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Oone__class_Oone(X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2164_2) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3626,plain,
% 2.03/2.41      ( c_HOL_Oinverse__class_Oinverse(X0,X1) = X2
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Oone__class_Oone(X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_414]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3627,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 2.03/2.41      | c_HOL_Oinverse__class_Oinverse(X1,X0) = X2 ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3626]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_412,plain,
% 2.03/2.41      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 2.03/2.41      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2165_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3622,plain,
% 2.03/2.41      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(X0,X1),c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 2.03/2.41      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_412]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3623,plain,
% 2.03/2.41      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.03/2.41      | c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3622]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_410,plain,
% 2.03/2.41      ( 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)
% 2.03/2.41      | ~ class_Int_Onumber__ring(X0) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2166_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3618,plain,
% 2.03/2.41      ( 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)
% 2.03/2.41      | ~ class_Int_Onumber__ring(X0) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_410]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3619,plain,
% 2.03/2.41      ( ~ class_Int_Onumber__ring(X0)
% 2.03/2.41      | 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) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3618]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_408,plain,
% 2.03/2.41      ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.41      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2168_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3614,plain,
% 2.03/2.41      ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.41      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_408]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3615,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.03/2.41      | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3614]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_403,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.41      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.41      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2170_0) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3604,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.41      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.41      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_403]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_400,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2170_3) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3598,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_400]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3599,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.41      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.41      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3598]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_399,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.41      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.41      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2171_0) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3596,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.41      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.41      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_399]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_396,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2171_3) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3590,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_396]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3591,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.41      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.41      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3590]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_392,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.03/2.41      | X1 = c_HOL_Ozero__class_Ozero(X2)
% 2.03/2.41      | c_RealVector_OscaleR__class_OscaleR(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 2.03/2.41      | ~ class_RealVector_Oreal__vector(X2) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2172_3) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3582,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.03/2.41      | X1 = c_HOL_Ozero__class_Ozero(X2)
% 2.03/2.41      | c_RealVector_OscaleR__class_OscaleR(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 2.03/2.41      | ~ class_RealVector_Oreal__vector(X2) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_392]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3583,plain,
% 2.03/2.41      ( ~ class_RealVector_Oreal__vector(X0)
% 2.03/2.41      | c_RealVector_OscaleR__class_OscaleR(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.41      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.03/2.41      | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3582]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_389,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2173_2) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3576,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_389]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3577,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.03/2.41      | ~ c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 2.03/2.41      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3576]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_386,plain,
% 2.03/2.41      ( X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.03/2.41      | X0 = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2174_2) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3570,plain,
% 2.03/2.41      ( X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.03/2.41      | X0 = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_386]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3571,plain,
% 2.03/2.41      ( c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.03/2.41      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.03/2.41      | X0 = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3570]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_382,plain,
% 2.03/2.41      ( X0 = X1
% 2.03/2.41      | X1 = c_HOL_Ozero__class_Ozero(X2)
% 2.03/2.41      | c_HOL_Oinverse__class_Odivide(X0,X1,X2) != c_HOL_Oone__class_Oone(X2)
% 2.03/2.41      | ~ class_Ring__and__Field_Ofield(X2) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2175_3) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3562,plain,
% 2.03/2.41      ( X0 = X1
% 2.03/2.41      | X1 = c_HOL_Ozero__class_Ozero(X2)
% 2.03/2.41      | c_HOL_Oinverse__class_Odivide(X0,X1,X2) != c_HOL_Oone__class_Oone(X2)
% 2.03/2.41      | ~ class_Ring__and__Field_Ofield(X2) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_382]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3563,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.41      | c_HOL_Oinverse__class_Odivide(X1,X2,X0) != c_HOL_Oone__class_Oone(X0)
% 2.03/2.41      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.41      | X1 = X2 ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3562]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_380,plain,
% 2.03/2.41      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.03/2.41      | c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2176_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3558,plain,
% 2.03/2.41      ( c_lessequals(X0,X1,tc_RealDef_Oreal)
% 2.03/2.41      | c_lessequals(X1,X0,tc_RealDef_Oreal) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_380]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_377,plain,
% 2.03/2.41      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.41      | c_HOL_Oabs__class_Oabs(X0,X2) != c_HOL_Oabs__class_Oabs(X1,X2)
% 2.03/2.41      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2177_2) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3552,plain,
% 2.03/2.41      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X1,X2)
% 2.03/2.41      | c_HOL_Oabs__class_Oabs(X0,X2) != c_HOL_Oabs__class_Oabs(X1,X2)
% 2.03/2.41      | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_377]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3553,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.41      | c_Ring__and__Field_Odvd__class_Odvd(X1,X2,X0)
% 2.03/2.41      | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Oabs__class_Oabs(X2,X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3552]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_375,plain,
% 2.03/2.41      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.41      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2178_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3548,plain,
% 2.03/2.41      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 2.03/2.41      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_375]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3549,plain,
% 2.03/2.41      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.03/2.41      | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3548]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_372,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2180_2) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3542,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_372]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3543,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 2.03/2.41      | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.03/2.41      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3542]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_367,plain,
% 2.03/2.41      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.41      | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2182_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3532,plain,
% 2.03/2.41      ( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
% 2.03/2.41      | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_367]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3533,plain,
% 2.03/2.41      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.03/2.41      | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3532]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_365,plain,
% 2.03/2.41      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2183_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3528,plain,
% 2.03/2.41      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_365]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3529,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3528]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_362,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oone__class_Oone(X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2184_2) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3522,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X0,c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oone__class_Oone(X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_362]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3523,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oone__class_Oone(X0)
% 2.03/2.41      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3522]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_359,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2185_2) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3516,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_359]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3517,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 2.03/2.41      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3516]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_356,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2186_2) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3510,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X0,X1),X0,X1) = c_HOL_Oone__class_Oone(X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_356]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3511,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.41      | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(X1,X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 2.03/2.41      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3510]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_348,plain,
% 2.03/2.41      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 2.03/2.41      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2189_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3494,plain,
% 2.03/2.41      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 2.03/2.41      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_348]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3495,plain,
% 2.03/2.41      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.03/2.41      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3494]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_345,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2190_2) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3488,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X0,X1),X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_345]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3489,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.03/2.41      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(X1,X0),X0)
% 2.03/2.41      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3488]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_342,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2191_2) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3482,plain,
% 2.03/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.03/2.41      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 2.03/2.41      | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_342]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3483,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Oordered__field(X0)
% 2.03/2.41      | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(X1,X0),X0)
% 2.03/2.41      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3482]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_337,plain,
% 2.03/2.41      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1),tc_RealDef_Oreal)
% 2.03/2.41      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2195_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3472,plain,
% 2.03/2.41      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X0,X1),tc_RealDef_Oreal)
% 2.03/2.41      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_337]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3473,plain,
% 2.03/2.41      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.03/2.41      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3472]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_334,plain,
% 2.03/2.41      ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 2.03/2.41      | ~ class_Int_Onumber__ring(X0)
% 2.03/2.41      | ~ class_Ring__and__Field_Ofield(X0) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2196_2) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3466,plain,
% 2.03/2.41      ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 2.03/2.41      | ~ class_Int_Onumber__ring(X0)
% 2.03/2.41      | ~ class_Ring__and__Field_Ofield(X0) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_334]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3467,plain,
% 2.03/2.41      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.03/2.41      | ~ class_Int_Onumber__ring(X0)
% 2.03/2.41      | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 2.03/2.41      inference(rewriting,[status(thm)],[c_3466]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_332,plain,
% 2.03/2.41      ( c_lessequals(X0,c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 2.03/2.41      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.03/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2197_1) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3462,plain,
% 2.03/2.41      ( c_lessequals(X0,c_HOL_Oabs__class_Oabs(X0,X1),X1)
% 2.03/2.41      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.03/2.41      inference(copy,[status(esa)],[c_332]) ).
% 2.03/2.41  
% 2.03/2.41  cnf(c_3463,plain,
% 2.03/2.41      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.03/2.41      | c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X0),X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3462]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_327,plain,
% 2.20/2.41      ( c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X0,X1),X1)
% 2.20/2.41      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2199_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3452,plain,
% 2.20/2.41      ( c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X0,X1),X1)
% 2.20/2.41      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_327]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3453,plain,
% 2.20/2.41      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.20/2.41      | c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(X1,X0),X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3452]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_322,plain,
% 2.20/2.41      ( c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X0,X1),X1)
% 2.20/2.41      | ~ class_RealVector_Oreal__algebra__1(X1) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2201_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3442,plain,
% 2.20/2.41      ( c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),X1) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X0,X1),X1)
% 2.20/2.41      | ~ class_RealVector_Oreal__algebra__1(X1) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_322]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3443,plain,
% 2.20/2.41      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.20/2.41      | c_RealVector_Oof__real(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X0) = c_HOL_Ouminus__class_Ouminus(c_RealVector_Oof__real(X1,X0),X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3442]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_320,plain,
% 2.20/2.41      ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 2.20/2.41      | ~ class_Ring__and__Field_Ofield(X0) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2203_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3438,plain,
% 2.20/2.41      ( c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0)
% 2.20/2.41      | ~ class_Ring__and__Field_Ofield(X0) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_320]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3439,plain,
% 2.20/2.41      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.20/2.41      | c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oinverse__class_Oinverse(X1,X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3438]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_318,plain,
% 2.20/2.41      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oone__class_Oone(X1),X1) = c_RealVector_Oof__real(X0,X1)
% 2.20/2.41      | ~ class_RealVector_Oreal__algebra__1(X1) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2204_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3434,plain,
% 2.20/2.41      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Oone__class_Oone(X1),X1) = c_RealVector_Oof__real(X0,X1)
% 2.20/2.41      | ~ class_RealVector_Oreal__algebra__1(X1) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_318]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3435,plain,
% 2.20/2.41      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.20/2.41      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Oone__class_Oone(X0),X0) = c_RealVector_Oof__real(X1,X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3434]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_303,plain,
% 2.20/2.41      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.20/2.41      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2210_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3404,plain,
% 2.20/2.41      ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 2.20/2.41      | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_303]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3405,plain,
% 2.20/2.41      ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 2.20/2.41      | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3404]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_301,plain,
% 2.20/2.41      ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 2.20/2.41      | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2211_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3400,plain,
% 2.20/2.41      ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 2.20/2.41      | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_301]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3401,plain,
% 2.20/2.41      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.20/2.41      | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3400]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_299,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2212_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3396,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_299]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3397,plain,
% 2.20/2.41      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.20/2.41      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3396]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_297,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.41      | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2213_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3392,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.41      | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_297]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3393,plain,
% 2.20/2.41      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 2.20/2.41      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3392]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_295,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2214_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3388,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_295]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3389,plain,
% 2.20/2.41      ( ~ class_Ring__and__Field_Omult__zero(X0)
% 2.20/2.41      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3388]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_293,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.41      | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2215_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3384,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.41      | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_293]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3385,plain,
% 2.20/2.41      ( ~ class_Ring__and__Field_Omult__zero(X0)
% 2.20/2.41      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3384]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_287,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2218_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3372,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | ~ class_RealVector_Oreal__normed__algebra(X1) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_287]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3373,plain,
% 2.20/2.41      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.20/2.41      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3372]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_283,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.41      | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2220_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3364,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.41      | ~ class_RealVector_Oreal__normed__algebra(X0) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_283]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3365,plain,
% 2.20/2.41      ( ~ class_RealVector_Oreal__normed__algebra(X0)
% 2.20/2.41      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3364]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_281,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2221_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3360,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_281]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3361,plain,
% 2.20/2.41      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.20/2.41      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3360]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_279,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.41      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2222_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3356,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.41      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_279]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3357,plain,
% 2.20/2.41      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.20/2.41      | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3356]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_277,plain,
% 2.20/2.41      ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.41      | ~ class_RealVector_Oreal__normed__field(X0) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2223_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3352,plain,
% 2.20/2.41      ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.41      | ~ class_RealVector_Oreal__normed__field(X0) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_277]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3353,plain,
% 2.20/2.41      ( ~ class_RealVector_Oreal__normed__field(X0)
% 2.20/2.41      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3352]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_275,plain,
% 2.20/2.41      ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.41      | ~ class_Ring__and__Field_Ofield(X0) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2224_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3348,plain,
% 2.20/2.41      ( c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.41      | ~ class_Ring__and__Field_Ofield(X0) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_275]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3349,plain,
% 2.20/2.41      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.20/2.41      | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3348]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_273,plain,
% 2.20/2.41      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | ~ class_RealVector_Oreal__vector(X1) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2225_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3344,plain,
% 2.20/2.41      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | ~ class_RealVector_Oreal__vector(X1) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_273]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3345,plain,
% 2.20/2.41      ( ~ class_RealVector_Oreal__vector(X0)
% 2.20/2.41      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3344]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_271,plain,
% 2.20/2.41      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2226_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3340,plain,
% 2.20/2.41      ( c_RealVector_OscaleR__class_OscaleR(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_271]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3341,plain,
% 2.20/2.41      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.20/2.41      | c_RealVector_OscaleR__class_OscaleR(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3340]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_269,plain,
% 2.20/2.41      ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.41      | ~ class_Divides_Osemiring__div(X0) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2227_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3336,plain,
% 2.20/2.41      ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.41      | ~ class_Divides_Osemiring__div(X0) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_269]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3337,plain,
% 2.20/2.41      ( ~ class_Divides_Osemiring__div(X0)
% 2.20/2.41      | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3336]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_267,plain,
% 2.20/2.41      ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | ~ class_Divides_Osemiring__div(X1) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2228_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3332,plain,
% 2.20/2.41      ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | ~ class_Divides_Osemiring__div(X1) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_267]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3333,plain,
% 2.20/2.41      ( ~ class_Divides_Osemiring__div(X0)
% 2.20/2.41      | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3332]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_261,plain,
% 2.20/2.41      ( c_HOL_Oinverse__class_Odivide(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 2.20/2.41      | X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2230_2) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3320,plain,
% 2.20/2.41      ( c_HOL_Oinverse__class_Odivide(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 2.20/2.41      | X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_261]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3321,plain,
% 2.20/2.41      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.20/2.41      | c_HOL_Oinverse__class_Odivide(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 2.20/2.41      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3320]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_258,plain,
% 2.20/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | c_Divides_Odiv__class_Odiv(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 2.20/2.41      | ~ class_Divides_Osemiring__div(X1) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2231_2) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3314,plain,
% 2.20/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | c_Divides_Odiv__class_Odiv(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 2.20/2.41      | ~ class_Divides_Osemiring__div(X1) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_258]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3315,plain,
% 2.20/2.41      ( ~ class_Divides_Osemiring__div(X0)
% 2.20/2.41      | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 2.20/2.41      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3314]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_256,plain,
% 2.20/2.41      ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 2.20/2.41      | ~ class_Divides_Osemiring__div(X1) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2232_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3310,plain,
% 2.20/2.41      ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 2.20/2.41      | ~ class_Divides_Osemiring__div(X1) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_256]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3311,plain,
% 2.20/2.41      ( ~ class_Divides_Osemiring__div(X0)
% 2.20/2.41      | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3310]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_252,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 2.20/2.41      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2234_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3302,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 2.20/2.41      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_252]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3303,plain,
% 2.20/2.41      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.20/2.41      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3302]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_250,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 2.20/2.41      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2235_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3298,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 2.20/2.41      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_250]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3299,plain,
% 2.20/2.41      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.20/2.41      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3298]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_248,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 2.20/2.41      | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2236_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3294,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 2.20/2.41      | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_248]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3295,plain,
% 2.20/2.41      ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 2.20/2.41      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3294]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_246,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 2.20/2.41      | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2237_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3290,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1
% 2.20/2.41      | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_246]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3291,plain,
% 2.20/2.41      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.20/2.41      | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X0),X1,X0) = X1 ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3290]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_244,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 2.20/2.41      | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2238_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3286,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 2.20/2.41      | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_244]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3287,plain,
% 2.20/2.41      ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 2.20/2.41      | c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3286]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_242,plain,
% 2.20/2.41      ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 2.20/2.41      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2239_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3282,plain,
% 2.20/2.41      ( c_HOL_Oinverse__class_Odivide(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 2.20/2.41      | ~ class_Ring__and__Field_Ofield(X1) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_242]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3283,plain,
% 2.20/2.41      ( ~ class_Ring__and__Field_Ofield(X0)
% 2.20/2.41      | c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3282]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_240,plain,
% 2.20/2.41      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | ~ class_RealVector_Oreal__vector(X1) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2240_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3278,plain,
% 2.20/2.41      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | ~ class_RealVector_Oreal__vector(X1) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_240]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3279,plain,
% 2.20/2.41      ( ~ class_RealVector_Oreal__vector(X0)
% 2.20/2.41      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3278]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_238,plain,
% 2.20/2.41      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2241_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3274,plain,
% 2.20/2.41      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_238]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3275,plain,
% 2.20/2.41      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.20/2.41      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3274]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_236,plain,
% 2.20/2.41      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.20/2.41      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2242_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3270,plain,
% 2.20/2.41      ( c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0)
% 2.20/2.41      | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_236]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3271,plain,
% 2.20/2.41      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.20/2.41      | c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3270]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_234,plain,
% 2.20/2.41      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.20/2.41      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2243_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3266,plain,
% 2.20/2.41      ( c_Ring__and__Field_Odvd__class_Odvd(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 2.20/2.41      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_234]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3267,plain,
% 2.20/2.41      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.20/2.41      | c_Ring__and__Field_Odvd__class_Odvd(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3266]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_232,plain,
% 2.20/2.41      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,X1) = X0
% 2.20/2.41      | ~ class_RealVector_Oreal__vector(X1) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2244_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3262,plain,
% 2.20/2.41      ( c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0,X1) = X0
% 2.20/2.41      | ~ class_RealVector_Oreal__vector(X1) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_232]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3263,plain,
% 2.20/2.41      ( ~ class_RealVector_Oreal__vector(X0)
% 2.20/2.41      | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X1,X0) = X1 ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3262]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_227,plain,
% 2.20/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | X0 = X2
% 2.20/2.41      | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oinverse__class_Oinverse(X2,X1)
% 2.20/2.41      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2245_4) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3252,plain,
% 2.20/2.41      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | X2 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.41      | X0 = X2
% 2.20/2.41      | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Oinverse__class_Oinverse(X2,X1)
% 2.20/2.41      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_227]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3253,plain,
% 2.20/2.41      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.20/2.41      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Oinverse__class_Oinverse(X2,X0)
% 2.20/2.41      | X1 = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.41      | X2 = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.41      | X1 = X2 ),
% 2.20/2.41      inference(rewriting,[status(thm)],[c_3252]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_225,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 2.20/2.41      | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 2.20/2.41      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2246_1) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3248,plain,
% 2.20/2.41      ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 2.20/2.41      | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 2.20/2.41      inference(copy,[status(esa)],[c_225]) ).
% 2.20/2.41  
% 2.20/2.41  cnf(c_3249,plain,
% 2.20/2.41      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 2.20/2.42      | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3248]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_223,plain,
% 2.20/2.42      ( c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.20/2.42      | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2249_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3244,plain,
% 2.20/2.42      ( c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.20/2.42      | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_223]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3245,plain,
% 2.20/2.42      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.20/2.42      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0),X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3244]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_221,plain,
% 2.20/2.42      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2250_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3240,plain,
% 2.20/2.42      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_221]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3241,plain,
% 2.20/2.42      ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3240]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_219,plain,
% 2.20/2.42      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2251_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3236,plain,
% 2.20/2.42      ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_219]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3237,plain,
% 2.20/2.42      ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3236]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_217,plain,
% 2.20/2.42      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 2.20/2.42      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2252_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3232,plain,
% 2.20/2.42      ( c_Ring__and__Field_Odvd__class_Odvd(X0,X0,X1)
% 2.20/2.42      | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_217]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3233,plain,
% 2.20/2.42      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 2.20/2.42      | c_Ring__and__Field_Odvd__class_Odvd(X1,X1,X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3232]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_215,plain,
% 2.20/2.42      ( c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_RealVector_Onorm__class_Onorm(X0,X1)
% 2.20/2.42      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2254_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3228,plain,
% 2.20/2.42      ( c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_RealVector_Onorm__class_Onorm(X0,X1)
% 2.20/2.42      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_215]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3229,plain,
% 2.20/2.42      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.20/2.42      | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_RealVector_Onorm__class_Onorm(X1,X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3228]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_213,plain,
% 2.20/2.42      ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 2.20/2.42      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2255_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3224,plain,
% 2.20/2.42      ( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 2.20/2.42      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_213]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3225,plain,
% 2.20/2.42      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.20/2.42      | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3224]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_211,plain,
% 2.20/2.42      ( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 2.20/2.42      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2256_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3220,plain,
% 2.20/2.42      ( c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,X1)
% 2.20/2.42      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_211]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3221,plain,
% 2.20/2.42      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.20/2.42      | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3220]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_209,plain,
% 2.20/2.42      ( c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Osgn__class_Osgn(X0,X1)
% 2.20/2.42      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2257_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3216,plain,
% 2.20/2.42      ( c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Osgn__class_Osgn(X0,X1)
% 2.20/2.42      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_209]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3217,plain,
% 2.20/2.42      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.20/2.42      | c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Osgn__class_Osgn(X1,X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3216]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_203,plain,
% 2.20/2.42      ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X0,X1),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X0,X1)
% 2.20/2.42      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2259_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3204,plain,
% 2.20/2.42      ( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X0,X1),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X0,X1)
% 2.20/2.42      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_203]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3205,plain,
% 2.20/2.42      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.20/2.42      | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3204]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_201,plain,
% 2.20/2.42      ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)
% 2.20/2.42      | ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2260_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3200,plain,
% 2.20/2.42      ( c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X0,X1),X1) = c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal)
% 2.20/2.42      | ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_201]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3201,plain,
% 2.20/2.42      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 2.20/2.42      | c_RealVector_Onorm__class_Onorm(c_RealVector_Oof__real(X1,X0),X0) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3200]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_195,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.20/2.42      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2263_2) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3188,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X0,X1),X1) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.20/2.42      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_195]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3189,plain,
% 2.20/2.42      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.20/2.42      | c_RealVector_Onorm__class_Onorm(c_HOL_Osgn__class_Osgn(X1,X0),X0) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.20/2.42      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3188]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_192,plain,
% 2.20/2.42      ( X0 = X1
% 2.20/2.42      | c_RealVector_Oof__real(X0,X2) != c_RealVector_Oof__real(X1,X2)
% 2.20/2.42      | ~ class_RealVector_Oreal__algebra__1(X2) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2264_2) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3182,plain,
% 2.20/2.42      ( X0 = X1
% 2.20/2.42      | c_RealVector_Oof__real(X0,X2) != c_RealVector_Oof__real(X1,X2)
% 2.20/2.42      | ~ class_RealVector_Oreal__algebra__1(X2) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_192]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3183,plain,
% 2.20/2.42      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.20/2.42      | c_RealVector_Oof__real(X1,X0) != c_RealVector_Oof__real(X2,X0)
% 2.20/2.42      | X1 = X2 ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3182]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_189,plain,
% 2.20/2.42      ( X0 = X1
% 2.20/2.42      | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 2.20/2.42      | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2265_2) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3176,plain,
% 2.20/2.42      ( X0 = X1
% 2.20/2.42      | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 2.20/2.42      | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_189]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3177,plain,
% 2.20/2.42      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.20/2.42      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 2.20/2.42      | X1 = X2 ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3176]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_186,plain,
% 2.20/2.42      ( X0 = X1
% 2.20/2.42      | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 2.20/2.42      | ~ class_Lattices_Oboolean__algebra(X2) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2266_2) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3170,plain,
% 2.20/2.42      ( X0 = X1
% 2.20/2.42      | c_HOL_Ouminus__class_Ouminus(X0,X2) != c_HOL_Ouminus__class_Ouminus(X1,X2)
% 2.20/2.42      | ~ class_Lattices_Oboolean__algebra(X2) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_186]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3171,plain,
% 2.20/2.42      ( ~ class_Lattices_Oboolean__algebra(X0)
% 2.20/2.42      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ouminus__class_Ouminus(X2,X0)
% 2.20/2.42      | X1 = X2 ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3170]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_183,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 2.20/2.42      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2267_2) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3164,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X0,X1),X1) = X0
% 2.20/2.42      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_183]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3165,plain,
% 2.20/2.42      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.20/2.42      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(X1,X0),X0) = X1
% 2.20/2.42      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3164]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_171,plain,
% 2.20/2.42      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 2.20/2.42      | ~ class_Lattices_Oboolean__algebra(X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2272_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3140,plain,
% 2.20/2.42      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 2.20/2.42      | ~ class_Lattices_Oboolean__algebra(X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_171]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3141,plain,
% 2.20/2.42      ( ~ class_Lattices_Oboolean__algebra(X0)
% 2.20/2.42      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3140]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_165,plain,
% 2.20/2.42      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 2.20/2.42      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2275_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3128,plain,
% 2.20/2.42      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X1),X1) = X0
% 2.20/2.42      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_165]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3129,plain,
% 2.20/2.42      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.20/2.42      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X0),X0) = X1 ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3128]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_162,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | c_HOL_Oabs__class_Oabs(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2278_2) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3122,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | c_HOL_Oabs__class_Oabs(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_162]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3123,plain,
% 2.20/2.42      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.20/2.42      | c_HOL_Oabs__class_Oabs(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3122]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_159,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2279_2) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3116,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | c_HOL_Oinverse__class_Oinverse(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | ~ class_Ring__and__Field_Odivision__ring(X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_159]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3117,plain,
% 2.20/2.42      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.20/2.42      | c_HOL_Oinverse__class_Oinverse(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3116]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_156,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2280_2) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3110,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_156]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3111,plain,
% 2.20/2.42      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.20/2.42      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3110]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_153,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2281_2) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3104,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | c_HOL_Osgn__class_Osgn(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_153]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3105,plain,
% 2.20/2.42      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.20/2.42      | c_HOL_Osgn__class_Osgn(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3104]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_150,plain,
% 2.20/2.42      ( c_HOL_Ozero__class_Ozero(X0) = X1
% 2.20/2.42      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2282_2) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3098,plain,
% 2.20/2.42      ( c_HOL_Ozero__class_Ozero(X0) = X1
% 2.20/2.42      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_150]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3099,plain,
% 2.20/2.42      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.20/2.42      | c_HOL_Ozero__class_Ozero(X0) = X1
% 2.20/2.42      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3098]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_147,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | c_HOL_Ouminus__class_Ouminus(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2283_2) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3092,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | c_HOL_Ouminus__class_Ouminus(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_147]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3093,plain,
% 2.20/2.42      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.20/2.42      | c_HOL_Ouminus__class_Ouminus(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3092]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_144,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.20/2.42      | c_RealVector_Oof__real(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | ~ class_RealVector_Oreal__algebra__1(X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2284_2) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3086,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.20/2.42      | c_RealVector_Oof__real(X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | ~ class_RealVector_Oreal__algebra__1(X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_144]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3087,plain,
% 2.20/2.42      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.20/2.42      | c_RealVector_Oof__real(X1,X0) != c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3086]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_142,plain,
% 2.20/2.42      ( ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0)
% 2.20/2.42      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2285_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3082,plain,
% 2.20/2.42      ( ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0)
% 2.20/2.42      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_142]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3083,plain,
% 2.20/2.42      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 2.20/2.42      | ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(X0),X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3082]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_139,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | c_RealVector_Onorm__class_Onorm(X0,X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.20/2.42      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2286_2) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3076,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | c_RealVector_Onorm__class_Onorm(X0,X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.20/2.42      | ~ class_RealVector_Oreal__normed__vector(X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_139]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3077,plain,
% 2.20/2.42      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.20/2.42      | c_RealVector_Onorm__class_Onorm(X1,X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.20/2.42      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3076]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_130,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | c_HOL_Ouminus__class_Ouminus(X0,X1) != X0
% 2.20/2.42      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2289_2) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3058,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | c_HOL_Ouminus__class_Ouminus(X0,X1) != X0
% 2.20/2.42      | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_130]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3059,plain,
% 2.20/2.42      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 2.20/2.42      | c_HOL_Ouminus__class_Ouminus(X1,X0) != X1
% 2.20/2.42      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3058]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_124,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | ~ c_Int_Oiszero(X0,X1)
% 2.20/2.42      | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2291_2) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3046,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 2.20/2.42      | ~ c_Int_Oiszero(X0,X1)
% 2.20/2.42      | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_124]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3047,plain,
% 2.20/2.42      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 2.20/2.42      | ~ c_Int_Oiszero(X1,X0)
% 2.20/2.42      | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3046]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_120,plain,
% 2.20/2.42      ( c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 2.20/2.42      | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2293_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3038,plain,
% 2.20/2.42      ( c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 2.20/2.42      | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_120]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3039,plain,
% 2.20/2.42      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 2.20/2.42      | c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3038]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_118,plain,
% 2.20/2.42      ( c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 2.20/2.42      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2294_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3034,plain,
% 2.20/2.42      ( c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 2.20/2.42      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_118]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3035,plain,
% 2.20/2.42      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.20/2.42      | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3034]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_116,plain,
% 2.20/2.42      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 2.20/2.42      | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2295_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3030,plain,
% 2.20/2.42      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0)
% 2.20/2.42      | ~ class_Ring__and__Field_Odivision__ring(X0) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_116]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3031,plain,
% 2.20/2.42      ( ~ class_Ring__and__Field_Odivision__ring(X0)
% 2.20/2.42      | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3030]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_114,plain,
% 2.20/2.42      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2296_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3026,plain,
% 2.20/2.42      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_114]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3027,plain,
% 2.20/2.42      ( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
% 2.20/2.42      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3026]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_110,plain,
% 2.20/2.42      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2298_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3018,plain,
% 2.20/2.42      ( c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_110]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3019,plain,
% 2.20/2.42      ( ~ class_OrderedGroup_Ogroup__add(X0)
% 2.20/2.42      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3018]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_108,plain,
% 2.20/2.42      ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2299_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3014,plain,
% 2.20/2.42      ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_108]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3015,plain,
% 2.20/2.42      ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 2.20/2.42      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3014]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_106,plain,
% 2.20/2.42      ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | ~ class_Ring__and__Field_Osgn__if(X0) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2300_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3010,plain,
% 2.20/2.42      ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | ~ class_Ring__and__Field_Osgn__if(X0) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_106]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3011,plain,
% 2.20/2.42      ( ~ class_Ring__and__Field_Osgn__if(X0)
% 2.20/2.42      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3010]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_104,plain,
% 2.20/2.42      ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2301_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3006,plain,
% 2.20/2.42      ( c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_104]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3007,plain,
% 2.20/2.42      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.20/2.42      | c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3006]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_102,plain,
% 2.20/2.42      ( c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2302_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3002,plain,
% 2.20/2.42      ( c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_102]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3003,plain,
% 2.20/2.42      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
% 2.20/2.42      | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_3002]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_100,plain,
% 2.20/2.42      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2303_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2998,plain,
% 2.20/2.42      ( c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_100]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2999,plain,
% 2.20/2.42      ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 2.20/2.42      | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_2998]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_98,plain,
% 2.20/2.42      ( c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.20/2.42      | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2305_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2994,plain,
% 2.20/2.42      ( c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.20/2.42      | ~ class_RealVector_Oreal__normed__algebra__1(X0) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_98]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2995,plain,
% 2.20/2.42      ( ~ class_RealVector_Oreal__normed__algebra__1(X0)
% 2.20/2.42      | c_RealVector_Onorm__class_Onorm(c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_2994]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_96,plain,
% 2.20/2.42      ( c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.20/2.42      | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2306_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2990,plain,
% 2.20/2.42      ( c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.20/2.42      | ~ class_RealVector_Oreal__normed__vector(X0) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_96]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2991,plain,
% 2.20/2.42      ( ~ class_RealVector_Oreal__normed__vector(X0)
% 2.20/2.42      | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_2990]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_94,plain,
% 2.20/2.42      ( c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0) = c_HOL_Oone__class_Oone(X0)
% 2.20/2.42      | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2307_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2986,plain,
% 2.20/2.42      ( c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0) = c_HOL_Oone__class_Oone(X0)
% 2.20/2.42      | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_94]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2987,plain,
% 2.20/2.42      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.20/2.42      | c_RealVector_Oof__real(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),X0) = c_HOL_Oone__class_Oone(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_2986]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_92,plain,
% 2.20/2.42      ( c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2308_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2982,plain,
% 2.20/2.42      ( c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0) = c_HOL_Ozero__class_Ozero(X0)
% 2.20/2.42      | ~ class_RealVector_Oreal__algebra__1(X0) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_92]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2983,plain,
% 2.20/2.42      ( ~ class_RealVector_Oreal__algebra__1(X0)
% 2.20/2.42      | c_RealVector_Oof__real(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_2982]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_90,plain,
% 2.20/2.42      ( c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0)
% 2.20/2.42      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2309_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2978,plain,
% 2.20/2.42      ( c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0)
% 2.20/2.42      | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_90]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2979,plain,
% 2.20/2.42      ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 2.20/2.42      | c_Int_Oiszero(c_HOL_Ozero__class_Ozero(X0),X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_2978]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_86,plain,
% 2.20/2.42      ( c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0)
% 2.20/2.42      | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2312_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2970,plain,
% 2.20/2.42      ( c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0)
% 2.20/2.42      | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_86]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2971,plain,
% 2.20/2.42      ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 2.20/2.42      | c_HOL_Ozero__class_Ozero(X0) != c_HOL_Oone__class_Oone(X0) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_2970]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_82,plain,
% 2.20/2.42      ( X0 = X1 | c_NthRoot_Osqrt(X0) != c_NthRoot_Osqrt(X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2316_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2962,plain,
% 2.20/2.42      ( X0 = X1 | c_NthRoot_Osqrt(X0) != c_NthRoot_Osqrt(X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_82]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2963,plain,
% 2.20/2.42      ( c_NthRoot_Osqrt(X0) != c_NthRoot_Osqrt(X1) | X0 = X1 ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_2962]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_80,plain,
% 2.20/2.42      ( X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.20/2.42      | c_NthRoot_Osqrt(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2318_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2958,plain,
% 2.20/2.42      ( X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.20/2.42      | c_NthRoot_Osqrt(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_80]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2959,plain,
% 2.20/2.42      ( c_NthRoot_Osqrt(X0) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
% 2.20/2.42      | X0 = c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_2958]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_78,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.20/2.42      | c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2319_1) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2954,plain,
% 2.20/2.42      ( X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.20/2.42      | c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_78]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2955,plain,
% 2.20/2.42      ( c_NthRoot_Osqrt(X0) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
% 2.20/2.42      | X0 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(rewriting,[status(thm)],[c_2954]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_77,plain,
% 2.20/2.42      ( c_Log_Opowr(X0,X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2310_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2952,plain,
% 2.20/2.42      ( c_Log_Opowr(X0,X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_77]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_76,plain,
% 2.20/2.42      ( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2325_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2950,plain,
% 2.20/2.42      ( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_76]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_75,plain,
% 2.20/2.42      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_1955_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2948,plain,
% 2.20/2.42      ( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X0,X0,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_75]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_69,plain,
% 2.20/2.42      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2179_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2941,plain,
% 2.20/2.42      ( c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X1,X0,tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_69]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_68,plain,
% 2.20/2.42      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X0),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2192_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2939,plain,
% 2.20/2.42      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(X0),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_68]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_67,plain,
% 2.20/2.42      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Osin(X0),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2193_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2937,plain,
% 2.20/2.42      ( c_lessequals(c_HOL_Oabs__class_Oabs(c_Transcendental_Osin(X0),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_67]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_66,plain,
% 2.20/2.42      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X0,X1),tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2202_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2935,plain,
% 2.20/2.42      ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Log_Opowr(X0,X1),tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_66]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_65,plain,
% 2.20/2.42      ( c_Log_Opowr(c_Log_Opowr(X0,X1),X2) = c_Log_Opowr(c_Log_Opowr(X0,X2),X1) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2205_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2933,plain,
% 2.20/2.42      ( c_Log_Opowr(c_Log_Opowr(X0,X1),X2) = c_Log_Opowr(c_Log_Opowr(X0,X2),X1) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_65]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_64,plain,
% 2.20/2.42      ( c_lessequals(c_Transcendental_Ocos(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2247_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2931,plain,
% 2.20/2.42      ( c_lessequals(c_Transcendental_Ocos(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_64]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_63,plain,
% 2.20/2.42      ( c_lessequals(c_Transcendental_Osin(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2248_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2929,plain,
% 2.20/2.42      ( c_lessequals(c_Transcendental_Osin(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_63]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_60,plain,
% 2.20/2.42      ( c_lessequals(X0,X0,tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2268_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2925,plain,
% 2.20/2.42      ( c_lessequals(X0,X0,tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_60]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_48,plain,
% 2.20/2.42      ( class_Power_Opower(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2326_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2912,plain,
% 2.20/2.42      ( class_Power_Opower(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_48]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_47,plain,
% 2.20/2.42      ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2327_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2910,plain,
% 2.20/2.42      ( class_Int_Onumber__ring(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_47]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_46,plain,
% 2.20/2.42      ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2328_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2908,plain,
% 2.20/2.42      ( class_Orderings_Oorder(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_46]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_45,plain,
% 2.20/2.42      ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2329_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2906,plain,
% 2.20/2.42      ( class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_45]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_44,plain,
% 2.20/2.42      ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2330_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2904,plain,
% 2.20/2.42      ( class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_44]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_43,plain,
% 2.20/2.42      ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2331_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2902,plain,
% 2.20/2.42      ( class_Ring__and__Field_Odvd(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_43]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_42,plain,
% 2.20/2.42      ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2332_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2900,plain,
% 2.20/2.42      ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_42]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_41,plain,
% 2.20/2.42      ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2333_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2898,plain,
% 2.20/2.42      ( class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_41]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_40,plain,
% 2.20/2.42      ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2334_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2896,plain,
% 2.20/2.42      ( class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_40]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_39,plain,
% 2.20/2.42      ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2335_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2894,plain,
% 2.20/2.42      ( class_Ring__and__Field_Oring__1(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_39]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_38,plain,
% 2.20/2.42      ( class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2336_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2892,plain,
% 2.20/2.42      ( class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_38]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_37,plain,
% 2.20/2.42      ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2337_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2890,plain,
% 2.20/2.42      ( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_37]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_36,plain,
% 2.20/2.42      ( class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2338_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2888,plain,
% 2.20/2.42      ( class_RealVector_Oreal__vector(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_36]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_35,plain,
% 2.20/2.42      ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2339_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2886,plain,
% 2.20/2.42      ( class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_35]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_34,plain,
% 2.20/2.42      ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2340_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2884,plain,
% 2.20/2.42      ( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_34]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_33,plain,
% 2.20/2.42      ( class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2341_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2882,plain,
% 2.20/2.42      ( class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_33]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_32,plain,
% 2.20/2.42      ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2342_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2880,plain,
% 2.20/2.42      ( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_32]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_31,plain,
% 2.20/2.42      ( class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2343_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2878,plain,
% 2.20/2.42      ( class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_31]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_30,plain,
% 2.20/2.42      ( class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2344_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2876,plain,
% 2.20/2.42      ( class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_30]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_29,plain,
% 2.20/2.42      ( class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2345_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2874,plain,
% 2.20/2.42      ( class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_29]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_28,plain,
% 2.20/2.42      ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2346_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2872,plain,
% 2.20/2.42      ( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_28]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_27,plain,
% 2.20/2.42      ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2347_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2870,plain,
% 2.20/2.42      ( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_27]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_26,plain,
% 2.20/2.42      ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2348_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2868,plain,
% 2.20/2.42      ( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_26]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_25,plain,
% 2.20/2.42      ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2349_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2866,plain,
% 2.20/2.42      ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_25]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_24,plain,
% 2.20/2.42      ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2350_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2864,plain,
% 2.20/2.42      ( class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_24]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_23,plain,
% 2.20/2.42      ( class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2351_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2862,plain,
% 2.20/2.42      ( class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_23]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_22,plain,
% 2.20/2.42      ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2352_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2860,plain,
% 2.20/2.42      ( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_22]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_21,plain,
% 2.20/2.42      ( class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2353_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2858,plain,
% 2.20/2.42      ( class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_21]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_20,plain,
% 2.20/2.42      ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2354_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2856,plain,
% 2.20/2.42      ( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_20]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_19,plain,
% 2.20/2.42      ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2355_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2854,plain,
% 2.20/2.42      ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_19]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_18,plain,
% 2.20/2.42      ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2356_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2852,plain,
% 2.20/2.42      ( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_18]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_17,plain,
% 2.20/2.42      ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2357_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2850,plain,
% 2.20/2.42      ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_17]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_16,plain,
% 2.20/2.42      ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2358_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2848,plain,
% 2.20/2.42      ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_16]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_15,plain,
% 2.20/2.42      ( class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2359_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2846,plain,
% 2.20/2.42      ( class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_15]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_14,plain,
% 2.20/2.42      ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2360_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2844,plain,
% 2.20/2.42      ( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_14]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_13,plain,
% 2.20/2.42      ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2361_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2842,plain,
% 2.20/2.42      ( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_13]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_12,plain,
% 2.20/2.42      ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2362_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2840,plain,
% 2.20/2.42      ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_12]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_11,plain,
% 2.20/2.42      ( class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2363_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2838,plain,
% 2.20/2.42      ( class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_11]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_10,plain,
% 2.20/2.42      ( class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2364_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2836,plain,
% 2.20/2.42      ( class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_10]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_9,plain,
% 2.20/2.42      ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2365_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2834,plain,
% 2.20/2.42      ( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_9]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_8,plain,
% 2.20/2.42      ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2366_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2832,plain,
% 2.20/2.42      ( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_8]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_7,plain,
% 2.20/2.42      ( class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2367_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2830,plain,
% 2.20/2.42      ( class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_7]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_6,plain,
% 2.20/2.42      ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2368_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2828,plain,
% 2.20/2.42      ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_6]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_5,plain,
% 2.20/2.42      ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2369_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2826,plain,
% 2.20/2.42      ( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_5]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_4,plain,
% 2.20/2.42      ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2370_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2824,plain,
% 2.20/2.42      ( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_4]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_3,plain,
% 2.20/2.42      ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2371_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2822,plain,
% 2.20/2.42      ( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_3]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2,plain,
% 2.20/2.42      ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2372_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2820,plain,
% 2.20/2.42      ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_2]) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_1,plain,
% 2.20/2.42      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ),
% 2.20/2.42      file('/export/starexec/sandbox2/tmp/iprover_modulo_314be4.p', c_0_2373_0) ).
% 2.20/2.42  
% 2.20/2.42  cnf(c_2818,plain,
% 2.20/2.42      ( class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ),
% 2.20/2.42      inference(copy,[status(esa)],[c_1]) ).
% 2.20/2.42  
% 2.20/2.42  
% 2.20/2.42  
% 2.20/2.42  % ------                             Statistics
% 2.20/2.42  
% 2.20/2.42  % ------ General
% 2.20/2.42  
% 2.20/2.42  % num_of_input_clauses:                 1233
% 2.20/2.42  % num_of_input_neg_conjectures:         1
% 2.20/2.42  % num_of_splits:                        0
% 2.20/2.42  % num_of_split_atoms:                   0
% 2.20/2.42  % num_of_sem_filtered_clauses:          0
% 2.20/2.42  % num_of_subtypes:                      0
% 2.20/2.42  % monotx_restored_types:                0
% 2.20/2.42  % sat_num_of_epr_types:                 0
% 2.20/2.42  % sat_num_of_non_cyclic_types:          0
% 2.20/2.42  % sat_guarded_non_collapsed_types:      0
% 2.20/2.42  % is_epr:                               0
% 2.20/2.42  % is_horn:                              0
% 2.20/2.42  % has_eq:                               1
% 2.20/2.42  % num_pure_diseq_elim:                  0
% 2.20/2.42  % simp_replaced_by:                     0
% 2.20/2.42  % res_preprocessed:                     2
% 2.20/2.42  % prep_upred:                           0
% 2.20/2.42  % prep_unflattend:                      0
% 2.20/2.42  % pred_elim_cands:                      0
% 2.20/2.42  % pred_elim:                            0
% 2.20/2.42  % pred_elim_cl:                         0
% 2.20/2.42  % pred_elim_cycles:                     0
% 2.20/2.42  % forced_gc_time:                       0
% 2.20/2.42  % gc_basic_clause_elim:                 0
% 2.20/2.42  % parsing_time:                         0.064
% 2.20/2.42  % sem_filter_time:                      0.
% 2.20/2.42  % pred_elim_time:                       0.
% 2.20/2.42  % out_proof_time:                       0.
% 2.20/2.42  % monotx_time:                          0.
% 2.20/2.42  % subtype_inf_time:                     0.
% 2.20/2.42  % unif_index_cands_time:                0.
% 2.20/2.42  % unif_index_add_time:                  0.
% 2.20/2.42  % total_time:                           0.608
% 2.20/2.42  % num_of_symbols:                       102
% 2.20/2.42  % num_of_terms:                         2364
% 2.20/2.42  
% 2.20/2.42  % ------ Propositional Solver
% 2.20/2.42  
% 2.20/2.42  % prop_solver_calls:                    1
% 2.20/2.42  % prop_fast_solver_calls:               3
% 2.20/2.42  % prop_num_of_clauses:                  1122
% 2.20/2.42  % prop_preprocess_simplified:           3702
% 2.20/2.42  % prop_fo_subsumed:                     0
% 2.20/2.42  % prop_solver_time:                     0.
% 2.20/2.42  % prop_fast_solver_time:                0.
% 2.20/2.42  % prop_unsat_core_time:                 0.
% 2.20/2.42  
% 2.20/2.42  % ------ QBF 
% 2.20/2.42  
% 2.20/2.42  % qbf_q_res:                            0
% 2.20/2.42  % qbf_num_tautologies:                  0
% 2.20/2.42  % qbf_prep_cycles:                      0
% 2.20/2.42  
% 2.20/2.42  % ------ BMC1
% 2.20/2.42  
% 2.20/2.42  % bmc1_current_bound:                   -1
% 2.20/2.42  % bmc1_last_solved_bound:               -1
% 2.20/2.42  % bmc1_unsat_core_size:                 -1
% 2.20/2.42  % bmc1_unsat_core_parents_size:         -1
% 2.20/2.42  % bmc1_merge_next_fun:                  0
% 2.20/2.42  % bmc1_unsat_core_clauses_time:         0.
% 2.20/2.42  
% 2.20/2.42  % ------ Instantiation
% 2.20/2.42  
% 2.20/2.42  % inst_num_of_clauses:                  1141
% 2.20/2.42  % inst_num_in_passive:                  0
% 2.20/2.42  % inst_num_in_active:                   0
% 2.20/2.42  % inst_num_in_unprocessed:              1233
% 2.20/2.42  % inst_num_of_loops:                    0
% 2.20/2.42  % inst_num_of_learning_restarts:        0
% 2.20/2.42  % inst_num_moves_active_passive:        0
% 2.20/2.42  % inst_lit_activity:                    0
% 2.20/2.42  % inst_lit_activity_moves:              0
% 2.20/2.42  % inst_num_tautologies:                 0
% 2.20/2.42  % inst_num_prop_implied:                0
% 2.20/2.42  % inst_num_existing_simplified:         0
% 2.20/2.42  % inst_num_eq_res_simplified:           0
% 2.20/2.42  % inst_num_child_elim:                  0
% 2.20/2.42  % inst_num_of_dismatching_blockings:    0
% 2.20/2.42  % inst_num_of_non_proper_insts:         0
% 2.20/2.42  % inst_num_of_duplicates:               0
% 2.20/2.42  % inst_inst_num_from_inst_to_res:       0
% 2.20/2.42  % inst_dismatching_checking_time:       0.
% 2.20/2.42  
% 2.20/2.42  % ------ Resolution
% 2.20/2.42  
% 2.20/2.42  % res_num_of_clauses:                   1242
% 2.20/2.42  % res_num_in_passive:                   0
% 2.20/2.42  % res_num_in_active:                    458
% 2.20/2.42  % res_num_of_loops:                     4
% 2.20/2.42  % res_forward_subset_subsumed:          758
% 2.20/2.42  % res_backward_subset_subsumed:         0
% 2.20/2.42  % res_forward_subsumed:                 0
% 2.20/2.42  % res_backward_subsumed:                0
% 2.20/2.42  % res_forward_subsumption_resolution:   0
% 2.20/2.42  % res_backward_subsumption_resolution:  0
% 2.20/2.42  % res_clause_to_clause_subsumption:     0
% 2.20/2.42  % res_orphan_elimination:               0
% 2.20/2.42  % res_tautology_del:                    0
% 2.20/2.42  % res_num_eq_res_simplified:            0
% 2.20/2.42  % res_num_sel_changes:                  0
% 2.20/2.42  % res_moves_from_active_to_pass:        0
% 2.20/2.42  
% 2.20/2.42  % Status Unknown
% 2.20/2.42  % Last status :
% 2.20/2.42  % SZS status Unknown
%------------------------------------------------------------------------------